---
_id: '52339'
author:
- first_name: Julie
  full_name: Intveen, Julie
  id: '56558'
  last_name: Intveen
citation:
  ama: 'Intveen J. Fictions of Identity – A Didactic Approach to Serial Literacy.
    In: <i>Media Literacy in Language (Teacher) Education </i>. ; 2023.'
  apa: Intveen, J. (2023). Fictions of Identity – A Didactic Approach to Serial Literacy.
    <i>Media Literacy in Language (Teacher) Education </i>. Media Literacy in Language
    (Teacher) Education (bilinguales Symposium gefördert durch die DGFF), Universität
    Erfurt.
  bibtex: '@inproceedings{Intveen_2023, title={Fictions of Identity – A Didactic Approach
    to Serial Literacy}, booktitle={Media Literacy in Language (Teacher) Education
    }, author={Intveen, Julie}, year={2023} }'
  chicago: Intveen, Julie. “Fictions of Identity – A Didactic Approach to Serial Literacy.”
    In <i>Media Literacy in Language (Teacher) Education </i>, 2023.
  ieee: J. Intveen, “Fictions of Identity – A Didactic Approach to Serial Literacy,”
    presented at the Media Literacy in Language (Teacher) Education (bilinguales Symposium
    gefördert durch die DGFF), Universität Erfurt, 2023.
  mla: Intveen, Julie. “Fictions of Identity – A Didactic Approach to Serial Literacy.”
    <i>Media Literacy in Language (Teacher) Education </i>, 2023.
  short: 'J. Intveen, in: Media Literacy in Language (Teacher) Education , 2023.'
conference:
  end_date: 24.11.2023
  location: Universität Erfurt
  name: Media Literacy in Language (Teacher) Education (bilinguales Symposium gefördert
    durch die DGFF)
  start_date: 24.11.2023
date_created: 2024-03-07T00:59:42Z
date_updated: 2024-04-04T13:36:20Z
language:
- iso: eng
publication: 'Media Literacy in Language (Teacher) Education '
status: public
title: Fictions of Identity – A Didactic Approach to Serial Literacy
type: conference
user_id: '56558'
year: '2023'
...
---
_id: '53142'
author:
- first_name: Thomas
  full_name: Berger, Thomas
  id: '77457'
  last_name: Berger
- first_name: Lukas
  full_name: Lanza, Lukas
  last_name: Lanza
citation:
  ama: 'Berger T, Lanza L. Funnel control of linear systems with arbitrary relative
    degree under output measurement losses. <i>IMA Journal of Mathematical Control
    and Information,</i>. 2023;40(4):691-713. doi:<a href="https://doi.org/doi: 10.1093/imamci/dnad029">doi:
    10.1093/imamci/dnad029</a>'
  apa: 'Berger, T., &#38; Lanza, L. (2023). Funnel control of linear systems with
    arbitrary relative degree under output measurement losses. <i>IMA Journal of Mathematical
    Control and Information,</i> <i>40</i>(4), 691–713. <a href="https://doi.org/doi:
    10.1093/imamci/dnad029">https://doi.org/doi: 10.1093/imamci/dnad029</a>'
  bibtex: '@article{Berger_Lanza_2023, title={Funnel control of linear systems with
    arbitrary relative degree under output measurement losses}, volume={40}, DOI={<a
    href="https://doi.org/doi: 10.1093/imamci/dnad029">doi: 10.1093/imamci/dnad029</a>},
    number={4}, journal={IMA Journal of Mathematical Control and Information,}, author={Berger,
    Thomas and Lanza, Lukas}, year={2023}, pages={691–713} }'
  chicago: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with
    Arbitrary Relative Degree under Output Measurement Losses.” <i>IMA Journal of
    Mathematical Control and Information,</i> 40, no. 4 (2023): 691–713. <a href="https://doi.org/doi:
    10.1093/imamci/dnad029">https://doi.org/doi: 10.1093/imamci/dnad029</a>.'
  ieee: 'T. Berger and L. Lanza, “Funnel control of linear systems with arbitrary
    relative degree under output measurement losses,” <i>IMA Journal of Mathematical
    Control and Information,</i> vol. 40, no. 4, pp. 691–713, 2023, doi: <a href="https://doi.org/doi:
    10.1093/imamci/dnad029">doi: 10.1093/imamci/dnad029</a>.'
  mla: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary
    Relative Degree under Output Measurement Losses.” <i>IMA Journal of Mathematical
    Control and Information,</i> vol. 40, no. 4, 2023, pp. 691–713, doi:<a href="https://doi.org/doi:
    10.1093/imamci/dnad029">doi: 10.1093/imamci/dnad029</a>.'
  short: T. Berger, L. Lanza, IMA Journal of Mathematical Control and Information,
    40 (2023) 691–713.
date_created: 2024-04-03T09:37:59Z
date_updated: 2024-04-05T05:50:29Z
department:
- _id: '618'
doi: 'doi: 10.1093/imamci/dnad029'
intvolume: '        40'
issue: '4'
language:
- iso: eng
page: 691-713
publication: IMA Journal of Mathematical Control and Information,
status: public
title: Funnel control of linear systems with arbitrary relative degree under output
  measurement losses
type: journal_article
user_id: '77457'
volume: 40
year: '2023'
...
---
_id: '53143'
author:
- first_name: J. G.
  full_name: Lee, J. G.
  last_name: Lee
- first_name: Thomas
  full_name: Berger, Thomas
  id: '77457'
  last_name: Berger
- first_name: S.
  full_name: Trenn, S.
  last_name: Trenn
- first_name: H.
  full_name: Shim, H.
  last_name: Shim
citation:
  ama: 'Lee JG, Berger T, Trenn S, Shim H. Edge-wise funnel output synchronization
    of heterogeneous agents with relative degree one. <i>Automatica</i>. 2023;156:Article
    111204. doi:<a href="https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open
    access)">doi: 10.1016/j.automatica.2023.111204 (open access)</a>'
  apa: 'Lee, J. G., Berger, T., Trenn, S., &#38; Shim, H. (2023). Edge-wise funnel
    output synchronization of heterogeneous agents with relative degree one. <i>Automatica</i>,
    <i>156</i>, Article 111204. <a href="https://doi.org/doi: 10.1016/j.automatica.2023.111204
    (open access)">https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)</a>'
  bibtex: '@article{Lee_Berger_Trenn_Shim_2023, title={Edge-wise funnel output synchronization
    of heterogeneous agents with relative degree one}, volume={156}, DOI={<a href="https://doi.org/doi:
    10.1016/j.automatica.2023.111204 (open access)">doi: 10.1016/j.automatica.2023.111204
    (open access)</a>}, journal={Automatica}, author={Lee, J. G. and Berger, Thomas
    and Trenn, S. and Shim, H.}, year={2023}, pages={Article 111204} }'
  chicago: 'Lee, J. G., Thomas Berger, S. Trenn, and H. Shim. “Edge-Wise Funnel Output
    Synchronization of Heterogeneous Agents with Relative Degree One.” <i>Automatica</i>
    156 (2023): Article 111204. <a href="https://doi.org/doi: 10.1016/j.automatica.2023.111204
    (open access)">https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)</a>.'
  ieee: 'J. G. Lee, T. Berger, S. Trenn, and H. Shim, “Edge-wise funnel output synchronization
    of heterogeneous agents with relative degree one,” <i>Automatica</i>, vol. 156,
    p. Article 111204, 2023, doi: <a href="https://doi.org/doi: 10.1016/j.automatica.2023.111204
    (open access)">doi: 10.1016/j.automatica.2023.111204 (open access)</a>.'
  mla: 'Lee, J. G., et al. “Edge-Wise Funnel Output Synchronization of Heterogeneous
    Agents with Relative Degree One.” <i>Automatica</i>, vol. 156, 2023, p. Article
    111204, doi:<a href="https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open
    access)">doi: 10.1016/j.automatica.2023.111204 (open access)</a>.'
  short: J.G. Lee, T. Berger, S. Trenn, H. Shim, Automatica 156 (2023) Article 111204.
date_created: 2024-04-03T09:56:35Z
date_updated: 2024-04-05T05:52:28Z
department:
- _id: '618'
doi: 'doi: 10.1016/j.automatica.2023.111204 (open access)'
intvolume: '       156'
language:
- iso: eng
page: Article 111204
publication: Automatica
status: public
title: Edge-wise funnel output synchronization of heterogeneous agents with relative
  degree one
type: journal_article
user_id: '77457'
volume: 156
year: '2023'
...
---
_id: '53260'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
citation:
  ama: 'Soleymani M, Santamaria I, Jorswieck E. Energy-Efficient Rate Splitting for
    MIMO STAR-RIS-Assisted Broadcast Channels with I/Q Imbalance. In: <i>2023 31st
    European Signal Processing Conference (EUSIPCO)</i>. IEEE; 2023. doi:<a href="https://doi.org/10.23919/eusipco58844.2023.10289964">10.23919/eusipco58844.2023.10289964</a>'
  apa: Soleymani, M., Santamaria, I., &#38; Jorswieck, E. (2023). Energy-Efficient
    Rate Splitting for MIMO STAR-RIS-Assisted Broadcast Channels with I/Q Imbalance.
    <i>2023 31st European Signal Processing Conference (EUSIPCO)</i>. <a href="https://doi.org/10.23919/eusipco58844.2023.10289964">https://doi.org/10.23919/eusipco58844.2023.10289964</a>
  bibtex: '@inproceedings{Soleymani_Santamaria_Jorswieck_2023, title={Energy-Efficient
    Rate Splitting for MIMO STAR-RIS-Assisted Broadcast Channels with I/Q Imbalance},
    DOI={<a href="https://doi.org/10.23919/eusipco58844.2023.10289964">10.23919/eusipco58844.2023.10289964</a>},
    booktitle={2023 31st European Signal Processing Conference (EUSIPCO)}, publisher={IEEE},
    author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard}, year={2023}
    }'
  chicago: Soleymani, Mohammad, Ignacio Santamaria, and Eduard Jorswieck. “Energy-Efficient
    Rate Splitting for MIMO STAR-RIS-Assisted Broadcast Channels with I/Q Imbalance.”
    In <i>2023 31st European Signal Processing Conference (EUSIPCO)</i>. IEEE, 2023.
    <a href="https://doi.org/10.23919/eusipco58844.2023.10289964">https://doi.org/10.23919/eusipco58844.2023.10289964</a>.
  ieee: 'M. Soleymani, I. Santamaria, and E. Jorswieck, “Energy-Efficient Rate Splitting
    for MIMO STAR-RIS-Assisted Broadcast Channels with I/Q Imbalance,” 2023, doi:
    <a href="https://doi.org/10.23919/eusipco58844.2023.10289964">10.23919/eusipco58844.2023.10289964</a>.'
  mla: Soleymani, Mohammad, et al. “Energy-Efficient Rate Splitting for MIMO STAR-RIS-Assisted
    Broadcast Channels with I/Q Imbalance.” <i>2023 31st European Signal Processing
    Conference (EUSIPCO)</i>, IEEE, 2023, doi:<a href="https://doi.org/10.23919/eusipco58844.2023.10289964">10.23919/eusipco58844.2023.10289964</a>.
  short: 'M. Soleymani, I. Santamaria, E. Jorswieck, in: 2023 31st European Signal
    Processing Conference (EUSIPCO), IEEE, 2023.'
date_created: 2024-04-05T09:00:44Z
date_updated: 2024-04-05T13:19:03Z
department:
- _id: '263'
doi: 10.23919/eusipco58844.2023.10289964
language:
- iso: eng
publication: 2023 31st European Signal Processing Conference (EUSIPCO)
publication_status: published
publisher: IEEE
status: public
title: Energy-Efficient Rate Splitting for MIMO STAR-RIS-Assisted Broadcast Channels
  with I/Q Imbalance
type: conference
user_id: '67076'
year: '2023'
...
---
_id: '53262'
author:
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
- first_name: Jesús
  full_name: Gutiérrez, Jesús
  last_name: Gutiérrez
citation:
  ama: Santamaria I, Soleymani M, Jorswieck E, Gutiérrez J. SNR Maximization in Beyond
    Diagonal RIS-Assisted Single and Multiple Antenna Links. <i>IEEE Signal Processing
    Letters</i>. 2023;30:923-926. doi:<a href="https://doi.org/10.1109/lsp.2023.3296902">10.1109/lsp.2023.3296902</a>
  apa: Santamaria, I., Soleymani, M., Jorswieck, E., &#38; Gutiérrez, J. (2023). SNR
    Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links.
    <i>IEEE Signal Processing Letters</i>, <i>30</i>, 923–926. <a href="https://doi.org/10.1109/lsp.2023.3296902">https://doi.org/10.1109/lsp.2023.3296902</a>
  bibtex: '@article{Santamaria_Soleymani_Jorswieck_Gutiérrez_2023, title={SNR Maximization
    in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links}, volume={30},
    DOI={<a href="https://doi.org/10.1109/lsp.2023.3296902">10.1109/lsp.2023.3296902</a>},
    journal={IEEE Signal Processing Letters}, publisher={Institute of Electrical and
    Electronics Engineers (IEEE)}, author={Santamaria, Ignacio and Soleymani, Mohammad
    and Jorswieck, Eduard and Gutiérrez, Jesús}, year={2023}, pages={923–926} }'
  chicago: 'Santamaria, Ignacio, Mohammad Soleymani, Eduard Jorswieck, and Jesús Gutiérrez.
    “SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna
    Links.” <i>IEEE Signal Processing Letters</i> 30 (2023): 923–26. <a href="https://doi.org/10.1109/lsp.2023.3296902">https://doi.org/10.1109/lsp.2023.3296902</a>.'
  ieee: 'I. Santamaria, M. Soleymani, E. Jorswieck, and J. Gutiérrez, “SNR Maximization
    in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links,” <i>IEEE Signal
    Processing Letters</i>, vol. 30, pp. 923–926, 2023, doi: <a href="https://doi.org/10.1109/lsp.2023.3296902">10.1109/lsp.2023.3296902</a>.'
  mla: Santamaria, Ignacio, et al. “SNR Maximization in Beyond Diagonal RIS-Assisted
    Single and Multiple Antenna Links.” <i>IEEE Signal Processing Letters</i>, vol.
    30, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 923–26,
    doi:<a href="https://doi.org/10.1109/lsp.2023.3296902">10.1109/lsp.2023.3296902</a>.
  short: I. Santamaria, M. Soleymani, E. Jorswieck, J. Gutiérrez, IEEE Signal Processing
    Letters 30 (2023) 923–926.
date_created: 2024-04-05T09:01:21Z
date_updated: 2024-04-05T13:20:51Z
department:
- _id: '263'
doi: 10.1109/lsp.2023.3296902
intvolume: '        30'
keyword:
- Applied Mathematics
- Electrical and Electronic Engineering
- Signal Processing
language:
- iso: eng
page: 923-926
publication: IEEE Signal Processing Letters
publication_identifier:
  issn:
  - 1070-9908
  - 1558-2361
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna
  Links
type: journal_article
user_id: '67076'
volume: 30
year: '2023'
...
---
_id: '53261'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
- first_name: Bruno
  full_name: Clerckx, Bruno
  last_name: Clerckx
citation:
  ama: Soleymani M, Santamaria I, Jorswieck E, Clerckx B. Optimization of Rate-Splitting
    Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems. <i>IEEE Transactions
    on Wireless Communications</i>. Published online 2023:1-1. doi:<a href="https://doi.org/10.1109/twc.2023.3324190">10.1109/twc.2023.3324190</a>
  apa: Soleymani, M., Santamaria, I., Jorswieck, E., &#38; Clerckx, B. (2023). Optimization
    of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems.
    <i>IEEE Transactions on Wireless Communications</i>, 1–1. <a href="https://doi.org/10.1109/twc.2023.3324190">https://doi.org/10.1109/twc.2023.3324190</a>
  bibtex: '@article{Soleymani_Santamaria_Jorswieck_Clerckx_2023, title={Optimization
    of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems},
    DOI={<a href="https://doi.org/10.1109/twc.2023.3324190">10.1109/twc.2023.3324190</a>},
    journal={IEEE Transactions on Wireless Communications}, publisher={Institute of
    Electrical and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and
    Santamaria, Ignacio and Jorswieck, Eduard and Clerckx, Bruno}, year={2023}, pages={1–1}
    }'
  chicago: Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, and Bruno Clerckx.
    “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-Assisted
    URLLC Systems.” <i>IEEE Transactions on Wireless Communications</i>, 2023, 1–1.
    <a href="https://doi.org/10.1109/twc.2023.3324190">https://doi.org/10.1109/twc.2023.3324190</a>.
  ieee: 'M. Soleymani, I. Santamaria, E. Jorswieck, and B. Clerckx, “Optimization
    of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems,”
    <i>IEEE Transactions on Wireless Communications</i>, pp. 1–1, 2023, doi: <a href="https://doi.org/10.1109/twc.2023.3324190">10.1109/twc.2023.3324190</a>.'
  mla: Soleymani, Mohammad, et al. “Optimization of Rate-Splitting Multiple Access
    in Beyond Diagonal RIS-Assisted URLLC Systems.” <i>IEEE Transactions on Wireless
    Communications</i>, Institute of Electrical and Electronics Engineers (IEEE),
    2023, pp. 1–1, doi:<a href="https://doi.org/10.1109/twc.2023.3324190">10.1109/twc.2023.3324190</a>.
  short: M. Soleymani, I. Santamaria, E. Jorswieck, B. Clerckx, IEEE Transactions
    on Wireless Communications (2023) 1–1.
date_created: 2024-04-05T09:01:04Z
date_updated: 2024-04-05T13:20:40Z
department:
- _id: '263'
doi: 10.1109/twc.2023.3324190
keyword:
- Applied Mathematics
- Electrical and Electronic Engineering
- Computer Science Applications
language:
- iso: eng
page: 1-1
publication: IEEE Transactions on Wireless Communications
publication_identifier:
  issn:
  - 1536-1276
  - 1558-2248
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted
  URLLC Systems
type: journal_article
user_id: '67076'
year: '2023'
...
---
_id: '53265'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
- first_name: Sepehr
  full_name: Rezvani, Sepehr
  last_name: Rezvani
citation:
  ama: Soleymani M, Santamaria I, Jorswieck E, Rezvani S. NOMA-Based Improper Signaling
    for Multicell MISO RIS-Assisted Broadcast Channels. <i>IEEE Transactions on Signal
    Processing</i>. 2023;71:963-978. doi:<a href="https://doi.org/10.1109/tsp.2023.3259145">10.1109/tsp.2023.3259145</a>
  apa: Soleymani, M., Santamaria, I., Jorswieck, E., &#38; Rezvani, S. (2023). NOMA-Based
    Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels. <i>IEEE
    Transactions on Signal Processing</i>, <i>71</i>, 963–978. <a href="https://doi.org/10.1109/tsp.2023.3259145">https://doi.org/10.1109/tsp.2023.3259145</a>
  bibtex: '@article{Soleymani_Santamaria_Jorswieck_Rezvani_2023, title={NOMA-Based
    Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels}, volume={71},
    DOI={<a href="https://doi.org/10.1109/tsp.2023.3259145">10.1109/tsp.2023.3259145</a>},
    journal={IEEE Transactions on Signal Processing}, publisher={Institute of Electrical
    and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and Santamaria,
    Ignacio and Jorswieck, Eduard and Rezvani, Sepehr}, year={2023}, pages={963–978}
    }'
  chicago: 'Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, and Sepehr
    Rezvani. “NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast
    Channels.” <i>IEEE Transactions on Signal Processing</i> 71 (2023): 963–78. <a
    href="https://doi.org/10.1109/tsp.2023.3259145">https://doi.org/10.1109/tsp.2023.3259145</a>.'
  ieee: 'M. Soleymani, I. Santamaria, E. Jorswieck, and S. Rezvani, “NOMA-Based Improper
    Signaling for Multicell MISO RIS-Assisted Broadcast Channels,” <i>IEEE Transactions
    on Signal Processing</i>, vol. 71, pp. 963–978, 2023, doi: <a href="https://doi.org/10.1109/tsp.2023.3259145">10.1109/tsp.2023.3259145</a>.'
  mla: Soleymani, Mohammad, et al. “NOMA-Based Improper Signaling for Multicell MISO
    RIS-Assisted Broadcast Channels.” <i>IEEE Transactions on Signal Processing</i>,
    vol. 71, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 963–78,
    doi:<a href="https://doi.org/10.1109/tsp.2023.3259145">10.1109/tsp.2023.3259145</a>.
  short: M. Soleymani, I. Santamaria, E. Jorswieck, S. Rezvani, IEEE Transactions
    on Signal Processing 71 (2023) 963–978.
date_created: 2024-04-05T09:03:42Z
date_updated: 2024-04-05T13:21:50Z
department:
- _id: '263'
doi: 10.1109/tsp.2023.3259145
intvolume: '        71'
keyword:
- Electrical and Electronic Engineering
- Signal Processing
language:
- iso: eng
page: 963-978
publication: IEEE Transactions on Signal Processing
publication_identifier:
  issn:
  - 1053-587X
  - 1941-0476
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels
type: journal_article
user_id: '67076'
volume: 71
year: '2023'
...
---
_id: '53263'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Eduard A.
  full_name: Jorswieck, Eduard A.
  last_name: Jorswieck
citation:
  ama: Soleymani M, Santamaria I, Jorswieck EA. Spectral and Energy Efficiency Maximization
    of MISO STAR-RIS-Assisted URLLC Systems. <i>IEEE Access</i>. 2023;11:70833-70852.
    doi:<a href="https://doi.org/10.1109/access.2023.3294092">10.1109/access.2023.3294092</a>
  apa: Soleymani, M., Santamaria, I., &#38; Jorswieck, E. A. (2023). Spectral and
    Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems. <i>IEEE
    Access</i>, <i>11</i>, 70833–70852. <a href="https://doi.org/10.1109/access.2023.3294092">https://doi.org/10.1109/access.2023.3294092</a>
  bibtex: '@article{Soleymani_Santamaria_Jorswieck_2023, title={Spectral and Energy
    Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems}, volume={11},
    DOI={<a href="https://doi.org/10.1109/access.2023.3294092">10.1109/access.2023.3294092</a>},
    journal={IEEE Access}, publisher={Institute of Electrical and Electronics Engineers
    (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard
    A.}, year={2023}, pages={70833–70852} }'
  chicago: 'Soleymani, Mohammad, Ignacio Santamaria, and Eduard A. Jorswieck. “Spectral
    and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems.” <i>IEEE
    Access</i> 11 (2023): 70833–52. <a href="https://doi.org/10.1109/access.2023.3294092">https://doi.org/10.1109/access.2023.3294092</a>.'
  ieee: 'M. Soleymani, I. Santamaria, and E. A. Jorswieck, “Spectral and Energy Efficiency
    Maximization of MISO STAR-RIS-Assisted URLLC Systems,” <i>IEEE Access</i>, vol.
    11, pp. 70833–70852, 2023, doi: <a href="https://doi.org/10.1109/access.2023.3294092">10.1109/access.2023.3294092</a>.'
  mla: Soleymani, Mohammad, et al. “Spectral and Energy Efficiency Maximization of
    MISO STAR-RIS-Assisted URLLC Systems.” <i>IEEE Access</i>, vol. 11, Institute
    of Electrical and Electronics Engineers (IEEE), 2023, pp. 70833–52, doi:<a href="https://doi.org/10.1109/access.2023.3294092">10.1109/access.2023.3294092</a>.
  short: M. Soleymani, I. Santamaria, E.A. Jorswieck, IEEE Access 11 (2023) 70833–70852.
date_created: 2024-04-05T09:01:49Z
date_updated: 2024-04-05T13:21:01Z
department:
- _id: '263'
doi: 10.1109/access.2023.3294092
intvolume: '        11'
keyword:
- General Engineering
- General Materials Science
- General Computer Science
- Electrical and Electronic Engineering
language:
- iso: eng
page: 70833-70852
publication: IEEE Access
publication_identifier:
  issn:
  - 2169-3536
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC
  Systems
type: journal_article
user_id: '67076'
volume: 11
year: '2023'
...
---
_id: '53264'
author:
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
- first_name: Jesús
  full_name: Gutiérrez, Jesús
  last_name: Gutiérrez
citation:
  ama: 'Santamaria I, Soleymani M, Jorswieck E, Gutiérrez J. Interference Leakage
    Minimization in RIS-Assisted MIMO Interference Channels. In: <i>ICASSP 2023 -
    2023 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP)</i>. IEEE; 2023. doi:<a href="https://doi.org/10.1109/icassp49357.2023.10094656">10.1109/icassp49357.2023.10094656</a>'
  apa: Santamaria, I., Soleymani, M., Jorswieck, E., &#38; Gutiérrez, J. (2023). Interference
    Leakage Minimization in RIS-Assisted MIMO Interference Channels. <i>ICASSP 2023
    - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP)</i>. <a href="https://doi.org/10.1109/icassp49357.2023.10094656">https://doi.org/10.1109/icassp49357.2023.10094656</a>
  bibtex: '@inproceedings{Santamaria_Soleymani_Jorswieck_Gutiérrez_2023, title={Interference
    Leakage Minimization in RIS-Assisted MIMO Interference Channels}, DOI={<a href="https://doi.org/10.1109/icassp49357.2023.10094656">10.1109/icassp49357.2023.10094656</a>},
    booktitle={ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech
    and Signal Processing (ICASSP)}, publisher={IEEE}, author={Santamaria, Ignacio
    and Soleymani, Mohammad and Jorswieck, Eduard and Gutiérrez, Jesús}, year={2023}
    }'
  chicago: Santamaria, Ignacio, Mohammad Soleymani, Eduard Jorswieck, and Jesús Gutiérrez.
    “Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels.”
    In <i>ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and
    Signal Processing (ICASSP)</i>. IEEE, 2023. <a href="https://doi.org/10.1109/icassp49357.2023.10094656">https://doi.org/10.1109/icassp49357.2023.10094656</a>.
  ieee: 'I. Santamaria, M. Soleymani, E. Jorswieck, and J. Gutiérrez, “Interference
    Leakage Minimization in RIS-Assisted MIMO Interference Channels,” 2023, doi: <a
    href="https://doi.org/10.1109/icassp49357.2023.10094656">10.1109/icassp49357.2023.10094656</a>.'
  mla: Santamaria, Ignacio, et al. “Interference Leakage Minimization in RIS-Assisted
    MIMO Interference Channels.” <i>ICASSP 2023 - 2023 IEEE International Conference
    on Acoustics, Speech and Signal Processing (ICASSP)</i>, IEEE, 2023, doi:<a href="https://doi.org/10.1109/icassp49357.2023.10094656">10.1109/icassp49357.2023.10094656</a>.
  short: 'I. Santamaria, M. Soleymani, E. Jorswieck, J. Gutiérrez, in: ICASSP 2023
    - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP), IEEE, 2023.'
date_created: 2024-04-05T09:02:14Z
date_updated: 2024-04-05T13:21:11Z
department:
- _id: '263'
doi: 10.1109/icassp49357.2023.10094656
language:
- iso: eng
publication: ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech
  and Signal Processing (ICASSP)
publication_status: published
publisher: IEEE
status: public
title: Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels
type: conference
user_id: '67076'
year: '2023'
...
---
_id: '53301'
article_number: '120986'
author:
- first_name: Solveig
  full_name: Vieluf, Solveig
  last_name: Vieluf
- first_name: Tanuj
  full_name: Hasija, Tanuj
  id: '43497'
  last_name: Hasija
- first_name: Maurice
  full_name: Kuschel, Maurice
  id: '56070'
  last_name: Kuschel
- first_name: Claus
  full_name: Reinsberger, Claus
  id: '48978'
  last_name: Reinsberger
- first_name: Tobias
  full_name: Loddenkemper, Tobias
  last_name: Loddenkemper
citation:
  ama: Vieluf S, Hasija T, Kuschel M, Reinsberger C, Loddenkemper T. Developing a
    deep canonical correlation-based technique for seizure prediction. <i>Expert Systems
    with Applications</i>. 2023;234. doi:<a href="https://doi.org/10.1016/j.eswa.2023.120986">10.1016/j.eswa.2023.120986</a>
  apa: Vieluf, S., Hasija, T., Kuschel, M., Reinsberger, C., &#38; Loddenkemper, T.
    (2023). Developing a deep canonical correlation-based technique for seizure prediction.
    <i>Expert Systems with Applications</i>, <i>234</i>, Article 120986. <a href="https://doi.org/10.1016/j.eswa.2023.120986">https://doi.org/10.1016/j.eswa.2023.120986</a>
  bibtex: '@article{Vieluf_Hasija_Kuschel_Reinsberger_Loddenkemper_2023, title={Developing
    a deep canonical correlation-based technique for seizure prediction}, volume={234},
    DOI={<a href="https://doi.org/10.1016/j.eswa.2023.120986">10.1016/j.eswa.2023.120986</a>},
    number={120986}, journal={Expert Systems with Applications}, publisher={Elsevier
    BV}, author={Vieluf, Solveig and Hasija, Tanuj and Kuschel, Maurice and Reinsberger,
    Claus and Loddenkemper, Tobias}, year={2023} }'
  chicago: Vieluf, Solveig, Tanuj Hasija, Maurice Kuschel, Claus Reinsberger, and
    Tobias Loddenkemper. “Developing a Deep Canonical Correlation-Based Technique
    for Seizure Prediction.” <i>Expert Systems with Applications</i> 234 (2023). <a
    href="https://doi.org/10.1016/j.eswa.2023.120986">https://doi.org/10.1016/j.eswa.2023.120986</a>.
  ieee: 'S. Vieluf, T. Hasija, M. Kuschel, C. Reinsberger, and T. Loddenkemper, “Developing
    a deep canonical correlation-based technique for seizure prediction,” <i>Expert
    Systems with Applications</i>, vol. 234, Art. no. 120986, 2023, doi: <a href="https://doi.org/10.1016/j.eswa.2023.120986">10.1016/j.eswa.2023.120986</a>.'
  mla: Vieluf, Solveig, et al. “Developing a Deep Canonical Correlation-Based Technique
    for Seizure Prediction.” <i>Expert Systems with Applications</i>, vol. 234, 120986,
    Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.eswa.2023.120986">10.1016/j.eswa.2023.120986</a>.
  short: S. Vieluf, T. Hasija, M. Kuschel, C. Reinsberger, T. Loddenkemper, Expert
    Systems with Applications 234 (2023).
date_created: 2024-04-05T14:37:06Z
date_updated: 2024-04-05T14:49:56Z
department:
- _id: '263'
doi: 10.1016/j.eswa.2023.120986
intvolume: '       234'
keyword:
- Artificial Intelligence
- Computer Science Applications
- General Engineering
language:
- iso: eng
publication: Expert Systems with Applications
publication_identifier:
  issn:
  - 0957-4174
publication_status: published
publisher: Elsevier BV
status: public
title: Developing a deep canonical correlation-based technique for seizure prediction
type: journal_article
user_id: '56070'
volume: 234
year: '2023'
...
---
_id: '53303'
author:
- first_name: Maurice
  full_name: Kuschel, Maurice
  id: '56070'
  last_name: Kuschel
- first_name: Timothy
  full_name: Marrinan, Timothy
  last_name: Marrinan
- first_name: Tanuj
  full_name: Hasija, Tanuj
  id: '43497'
  last_name: Hasija
citation:
  ama: 'Kuschel M, Marrinan T, Hasija T. Geodesic-Based Relaxation For Deep Canonical
    Correlation Analysis. In: <i>2023 IEEE 33rd International Workshop on Machine
    Learning for Signal Processing (MLSP)</i>. IEEE; 2023. doi:<a href="https://doi.org/10.1109/mlsp55844.2023.10285937">10.1109/mlsp55844.2023.10285937</a>'
  apa: Kuschel, M., Marrinan, T., &#38; Hasija, T. (2023). Geodesic-Based Relaxation
    For Deep Canonical Correlation Analysis. <i>2023 IEEE 33rd International Workshop
    on Machine Learning for Signal Processing (MLSP)</i>. <a href="https://doi.org/10.1109/mlsp55844.2023.10285937">https://doi.org/10.1109/mlsp55844.2023.10285937</a>
  bibtex: '@inproceedings{Kuschel_Marrinan_Hasija_2023, title={Geodesic-Based Relaxation
    For Deep Canonical Correlation Analysis}, DOI={<a href="https://doi.org/10.1109/mlsp55844.2023.10285937">10.1109/mlsp55844.2023.10285937</a>},
    booktitle={2023 IEEE 33rd International Workshop on Machine Learning for Signal
    Processing (MLSP)}, publisher={IEEE}, author={Kuschel, Maurice and Marrinan, Timothy
    and Hasija, Tanuj}, year={2023} }'
  chicago: Kuschel, Maurice, Timothy Marrinan, and Tanuj Hasija. “Geodesic-Based Relaxation
    For Deep Canonical Correlation Analysis.” In <i>2023 IEEE 33rd International Workshop
    on Machine Learning for Signal Processing (MLSP)</i>. IEEE, 2023. <a href="https://doi.org/10.1109/mlsp55844.2023.10285937">https://doi.org/10.1109/mlsp55844.2023.10285937</a>.
  ieee: 'M. Kuschel, T. Marrinan, and T. Hasija, “Geodesic-Based Relaxation For Deep
    Canonical Correlation Analysis,” 2023, doi: <a href="https://doi.org/10.1109/mlsp55844.2023.10285937">10.1109/mlsp55844.2023.10285937</a>.'
  mla: Kuschel, Maurice, et al. “Geodesic-Based Relaxation For Deep Canonical Correlation
    Analysis.” <i>2023 IEEE 33rd International Workshop on Machine Learning for Signal
    Processing (MLSP)</i>, IEEE, 2023, doi:<a href="https://doi.org/10.1109/mlsp55844.2023.10285937">10.1109/mlsp55844.2023.10285937</a>.
  short: 'M. Kuschel, T. Marrinan, T. Hasija, in: 2023 IEEE 33rd International Workshop
    on Machine Learning for Signal Processing (MLSP), IEEE, 2023.'
date_created: 2024-04-05T14:39:36Z
date_updated: 2024-04-05T14:50:06Z
department:
- _id: '263'
doi: 10.1109/mlsp55844.2023.10285937
language:
- iso: eng
publication: 2023 IEEE 33rd International Workshop on Machine Learning for Signal
  Processing (MLSP)
publication_status: published
publisher: IEEE
status: public
title: Geodesic-Based Relaxation For Deep Canonical Correlation Analysis
type: conference
user_id: '56070'
year: '2023'
...
---
_id: '53310'
author:
- first_name: Emebet Gebeyehu
  full_name: Gedlu, Emebet Gebeyehu
  id: '77572'
  last_name: Gedlu
- first_name: Oliver
  full_name: Wallscheid, Oliver
  id: '11291'
  last_name: Wallscheid
  orcid: https://orcid.org/0000-0001-9362-8777
- first_name: Joachim
  full_name: Böcker, Joachim
  id: '66'
  last_name: Böcker
  orcid: 0000-0002-8480-7295
- first_name: Oliver
  full_name: Nelles, Oliver
  last_name: Nelles
citation:
  ama: 'Gedlu EG, Wallscheid O, Böcker J, Nelles O. Online system identification and
    excitation for thermal monitoring of electric machines using machine learning
    and model predictive control. In: <i>2023 IEEE 14th International Symposium on
    Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED)</i>.
    IEEE; 2023. doi:<a href="https://doi.org/10.1109/sdemped54949.2023.10271427">10.1109/sdemped54949.2023.10271427</a>'
  apa: Gedlu, E. G., Wallscheid, O., Böcker, J., &#38; Nelles, O. (2023). Online system
    identification and excitation for thermal monitoring of electric machines using
    machine learning and model predictive control. <i>2023 IEEE 14th International
    Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives
    (SDEMPED)</i>. <a href="https://doi.org/10.1109/sdemped54949.2023.10271427">https://doi.org/10.1109/sdemped54949.2023.10271427</a>
  bibtex: '@inproceedings{Gedlu_Wallscheid_Böcker_Nelles_2023, title={Online system
    identification and excitation for thermal monitoring of electric machines using
    machine learning and model predictive control}, DOI={<a href="https://doi.org/10.1109/sdemped54949.2023.10271427">10.1109/sdemped54949.2023.10271427</a>},
    booktitle={2023 IEEE 14th International Symposium on Diagnostics for Electrical
    Machines, Power Electronics and Drives (SDEMPED)}, publisher={IEEE}, author={Gedlu,
    Emebet Gebeyehu and Wallscheid, Oliver and Böcker, Joachim and Nelles, Oliver},
    year={2023} }'
  chicago: Gedlu, Emebet Gebeyehu, Oliver Wallscheid, Joachim Böcker, and Oliver Nelles.
    “Online System Identification and Excitation for Thermal Monitoring of Electric
    Machines Using Machine Learning and Model Predictive Control.” In <i>2023 IEEE
    14th International Symposium on Diagnostics for Electrical Machines, Power Electronics
    and Drives (SDEMPED)</i>. IEEE, 2023. <a href="https://doi.org/10.1109/sdemped54949.2023.10271427">https://doi.org/10.1109/sdemped54949.2023.10271427</a>.
  ieee: 'E. G. Gedlu, O. Wallscheid, J. Böcker, and O. Nelles, “Online system identification
    and excitation for thermal monitoring of electric machines using machine learning
    and model predictive control,” 2023, doi: <a href="https://doi.org/10.1109/sdemped54949.2023.10271427">10.1109/sdemped54949.2023.10271427</a>.'
  mla: Gedlu, Emebet Gebeyehu, et al. “Online System Identification and Excitation
    for Thermal Monitoring of Electric Machines Using Machine Learning and Model Predictive
    Control.” <i>2023 IEEE 14th International Symposium on Diagnostics for Electrical
    Machines, Power Electronics and Drives (SDEMPED)</i>, IEEE, 2023, doi:<a href="https://doi.org/10.1109/sdemped54949.2023.10271427">10.1109/sdemped54949.2023.10271427</a>.
  short: 'E.G. Gedlu, O. Wallscheid, J. Böcker, O. Nelles, in: 2023 IEEE 14th International
    Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives
    (SDEMPED), IEEE, 2023.'
date_created: 2024-04-06T13:55:29Z
date_updated: 2024-04-06T14:00:07Z
department:
- _id: '52'
doi: 10.1109/sdemped54949.2023.10271427
language:
- iso: eng
publication: 2023 IEEE 14th International Symposium on Diagnostics for Electrical
  Machines, Power Electronics and Drives (SDEMPED)
publication_status: published
publisher: IEEE
status: public
title: Online system identification and excitation for thermal monitoring of electric
  machines using machine learning and model predictive control
type: conference
user_id: '66'
year: '2023'
...
---
_id: '53317'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Global smooth solutions in a three-dimensional cross-diffusive
    SIS epidemic model with saturated taxis at large densities. <i>Evolution Equations
    and Control Theory</i>. 2023;12(6):1676-1687. doi:<a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>
  apa: Tao, Y., &#38; Winkler, M. (2023). Global smooth solutions in a three-dimensional
    cross-diffusive SIS epidemic model with saturated taxis at large densities. <i>Evolution
    Equations and Control Theory</i>, <i>12</i>(6), 1676–1687. <a href="https://doi.org/10.3934/eect.2023031">https://doi.org/10.3934/eect.2023031</a>
  bibtex: '@article{Tao_Winkler_2023, title={Global smooth solutions in a three-dimensional
    cross-diffusive SIS epidemic model with saturated taxis at large densities}, volume={12},
    DOI={<a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>},
    number={6}, journal={Evolution Equations and Control Theory}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler,
    Michael}, year={2023}, pages={1676–1687} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional
    Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” <i>Evolution
    Equations and Control Theory</i> 12, no. 6 (2023): 1676–87. <a href="https://doi.org/10.3934/eect.2023031">https://doi.org/10.3934/eect.2023031</a>.'
  ieee: 'Y. Tao and M. Winkler, “Global smooth solutions in a three-dimensional cross-diffusive
    SIS epidemic model with saturated taxis at large densities,” <i>Evolution Equations
    and Control Theory</i>, vol. 12, no. 6, pp. 1676–1687, 2023, doi: <a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional
    Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” <i>Evolution
    Equations and Control Theory</i>, vol. 12, no. 6, American Institute of Mathematical
    Sciences (AIMS), 2023, pp. 1676–87, doi:<a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>.
  short: Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.
date_created: 2024-04-07T12:30:25Z
date_updated: 2024-04-07T12:36:17Z
doi: 10.3934/eect.2023031
intvolume: '        12'
issue: '6'
keyword:
- Applied Mathematics
- Control and Optimization
- Modeling and Simulation
language:
- iso: eng
page: 1676-1687
publication: Evolution Equations and Control Theory
publication_identifier:
  issn:
  - 2163-2480
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic
  model with saturated taxis at large densities
type: journal_article
user_id: '31496'
volume: 12
year: '2023'
...
---
_id: '53320'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>.
    Published online 2023. doi:<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>
  apa: Winkler, M. (2023). A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>.
    <a href="https://doi.org/10.4171/aihpc/73">https://doi.org/10.4171/aihpc/73</a>
  bibtex: '@article{Winkler_2023, title={A quantitative strong parabolic maximum principle
    and application to a taxis-type migration–consumption model involving signal-dependent
    degenerate diffusion}, DOI={<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>},
    journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European
    Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael},
    year={2023} }'
  chicago: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and
    Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent
    Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non
    Linéaire</i>, 2023. <a href="https://doi.org/10.4171/aihpc/73">https://doi.org/10.4171/aihpc/73</a>.
  ieee: 'M. Winkler, “A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>,
    2023, doi: <a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>.'
  mla: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application
    to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate
    Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>,
    European Mathematical Society - EMS - Publishing House GmbH, 2023, doi:<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>.
  short: M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire
    (2023).
date_created: 2024-04-07T12:34:35Z
date_updated: 2024-04-07T12:36:00Z
doi: 10.4171/aihpc/73
keyword:
- Mathematical Physics
- Analysis
- Applied Mathematics
language:
- iso: eng
publication: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
publication_identifier:
  issn:
  - 0294-1449
  - 1873-1430
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: A quantitative strong parabolic maximum principle and application to a taxis-type
  migration–consumption model involving signal-dependent degenerate diffusion
type: journal_article
user_id: '31496'
year: '2023'
...
---
_id: '53318'
author:
- first_name: Genglin
  full_name: Li, Genglin
  last_name: Li
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Applicable Analysis</i>. 2023;103(1):45-64.
    doi:<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>
  apa: Li, G., &#38; Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Applicable Analysis</i>, <i>103</i>(1),
    45–64. <a href="https://doi.org/10.1080/00036811.2023.2173183">https://doi.org/10.1080/00036811.2023.2173183</a>
  bibtex: '@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities}, volume={103}, DOI={<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>},
    number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li,
    Genglin and Winkler, Michael}, year={2023}, pages={45–64} }'
  chicago: 'Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i> 103,
    no. 1 (2023): 45–64. <a href="https://doi.org/10.1080/00036811.2023.2173183">https://doi.org/10.1080/00036811.2023.2173183</a>.'
  ieee: 'G. Li and M. Winkler, “Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities,” <i>Applicable Analysis</i>, vol.
    103, no. 1, pp. 45–64, 2023, doi: <a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>.'
  mla: Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i>, vol.
    103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi:<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>.
  short: G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.
date_created: 2024-04-07T12:32:55Z
date_updated: 2024-04-07T12:36:11Z
doi: 10.1080/00036811.2023.2173183
intvolume: '       103'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 45-64
publication: Applicable Analysis
publication_identifier:
  issn:
  - 0003-6811
  - 1563-504X
publication_status: published
publisher: Informa UK Limited
status: public
title: Refined regularity analysis for a Keller-Segel-consumption system involving
  signal-dependent motilities
type: journal_article
user_id: '31496'
volume: 103
year: '2023'
...
---
_id: '53328'
abstract:
- lang: eng
  text: <jats:p> As a simplified version of a three-component taxis cascade model
    accounting for different migration strategies of two population groups in search
    of food, a two-component nonlocal nutrient taxis system is considered in a two-dimensional
    bounded convex domain with smooth boundary. For any given conveniently regular
    and biologically meaningful initial data, smallness conditions on the prescribed
    resource growth and on the initial nutrient signal concentration are identified
    which ensure the global existence of a global classical solution to the corresponding
    no-flux initial-boundary value problem. Moreover, under additional assumptions
    on the food production source these solutions are shown to be bounded, and to
    stabilize toward semi-trivial equilibria in the large time limit, respectively.
    </jats:p>
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model
    for interaction of scroungers with rapidly diffusing foragers. <i>Mathematical
    Models and Methods in Applied Sciences</i>. 2023;33(01):103-138. doi:<a href="https://doi.org/10.1142/s0218202523500045">10.1142/s0218202523500045</a>
  apa: Tao, Y., &#38; Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion
    model for interaction of scroungers with rapidly diffusing foragers. <i>Mathematical
    Models and Methods in Applied Sciences</i>, <i>33</i>(01), 103–138. <a href="https://doi.org/10.1142/s0218202523500045">https://doi.org/10.1142/s0218202523500045</a>
  bibtex: '@article{Tao_Winkler_2023, title={Small-signal solutions to a nonlocal
    cross-diffusion model for interaction of scroungers with rapidly diffusing foragers},
    volume={33}, DOI={<a href="https://doi.org/10.1142/s0218202523500045">10.1142/s0218202523500045</a>},
    number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2023},
    pages={103–138} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal
    Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.”
    <i>Mathematical Models and Methods in Applied Sciences</i> 33, no. 01 (2023):
    103–38. <a href="https://doi.org/10.1142/s0218202523500045">https://doi.org/10.1142/s0218202523500045</a>.'
  ieee: 'Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion
    model for interaction of scroungers with rapidly diffusing foragers,” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 33, no. 01, pp. 103–138, 2023,
    doi: <a href="https://doi.org/10.1142/s0218202523500045">10.1142/s0218202523500045</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion
    Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” <i>Mathematical
    Models and Methods in Applied Sciences</i>, vol. 33, no. 01, World Scientific
    Pub Co Pte Ltd, 2023, pp. 103–38, doi:<a href="https://doi.org/10.1142/s0218202523500045">10.1142/s0218202523500045</a>.
  short: Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33
    (2023) 103–138.
date_created: 2024-04-07T12:43:13Z
date_updated: 2024-04-07T12:43:17Z
doi: 10.1142/s0218202523500045
intvolume: '        33'
issue: '01'
keyword:
- Applied Mathematics
- Modeling and Simulation
language:
- iso: eng
page: 103-138
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  issn:
  - 0218-2025
  - 1793-6314
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Small-signal solutions to a nonlocal cross-diffusion model for interaction
  of scroungers with rapidly diffusing foragers
type: journal_article
user_id: '31496'
volume: 33
year: '2023'
...
---
_id: '53324'
article_number: '180'
author:
- first_name: Jaewook
  full_name: Ahn, Jaewook
  last_name: Ahn
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption
    system. <i>Calculus of Variations and Partial Differential Equations</i>. 2023;62(6).
    doi:<a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>
  apa: Ahn, J., &#38; Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional
    chemotaxis-consumption system. <i>Calculus of Variations and Partial Differential
    Equations</i>, <i>62</i>(6), Article 180. <a href="https://doi.org/10.1007/s00526-023-02523-5">https://doi.org/10.1007/s00526-023-02523-5</a>
  bibtex: '@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a
    two-dimensional chemotaxis-consumption system}, volume={62}, DOI={<a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>},
    number={6180}, journal={Calculus of Variations and Partial Differential Equations},
    publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and
    Winkler, Michael}, year={2023} }'
  chicago: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in
    a Two-Dimensional Chemotaxis-Consumption System.” <i>Calculus of Variations and
    Partial Differential Equations</i> 62, no. 6 (2023). <a href="https://doi.org/10.1007/s00526-023-02523-5">https://doi.org/10.1007/s00526-023-02523-5</a>.
  ieee: 'J. Ahn and M. Winkler, “A critical exponent for blow-up in a two-dimensional
    chemotaxis-consumption system,” <i>Calculus of Variations and Partial Differential
    Equations</i>, vol. 62, no. 6, Art. no. 180, 2023, doi: <a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>.'
  mla: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional
    Chemotaxis-Consumption System.” <i>Calculus of Variations and Partial Differential
    Equations</i>, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023,
    doi:<a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>.
  short: J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations
    62 (2023).
date_created: 2024-04-07T12:40:02Z
date_updated: 2024-04-07T12:40:06Z
doi: 10.1007/s00526-023-02523-5
intvolume: '        62'
issue: '6'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
  issn:
  - 0944-2669
  - 1432-0835
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A critical exponent for blow-up in a two-dimensional chemotaxis-consumption
  system
type: journal_article
user_id: '31496'
volume: 62
year: '2023'
...
---
_id: '53329'
article_number: '103820'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: 'Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded
    infection force. <i>Nonlinear Analysis: Real World Applications</i>. 2023;71.
    doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>'
  apa: 'Tao, Y., &#38; Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model
    with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>,
    <i>71</i>, Article 103820. <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>'
  bibtex: '@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic
    model with unbounded infection force}, volume={71}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>},
    number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>
    71 (2023). <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>.'
  ieee: 'Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with
    unbounded infection force,” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, Art. no. 103820, 2023, doi: <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  mla: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, 103820, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  short: 'Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).'
date_created: 2024-04-07T12:43:49Z
date_updated: 2024-04-07T12:43:53Z
doi: 10.1016/j.nonrwa.2022.103820
intvolume: '        71'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
type: journal_article
user_id: '31496'
volume: 71
year: '2023'
...
---
_id: '53326'
author:
- first_name: Genglin
  full_name: Li, Genglin
  last_name: Li
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving
    signal-dependent motilities. <i>Communications in Mathematical Sciences</i>. 2023;21(2):299-322.
    doi:<a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>
  apa: Li, G., &#38; Winkler, M. (2023). Relaxation in a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Communications in Mathematical
    Sciences</i>, <i>21</i>(2), 299–322. <a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>
  bibtex: '@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption
    system involving signal-dependent motilities}, volume={21}, DOI={<a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>},
    number={2}, journal={Communications in Mathematical Sciences}, publisher={International
    Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322}
    }'
  chicago: 'Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical
    Sciences</i> 21, no. 2 (2023): 299–322. <a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>.'
  ieee: 'G. Li and M. Winkler, “Relaxation in a Keller-Segel-consumption system involving
    signal-dependent motilities,” <i>Communications in Mathematical Sciences</i>,
    vol. 21, no. 2, pp. 299–322, 2023, doi: <a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>.'
  mla: Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical
    Sciences</i>, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322,
    doi:<a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>.
  short: G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.
date_created: 2024-04-07T12:41:49Z
date_updated: 2024-04-07T12:41:54Z
doi: 10.4310/cms.2023.v21.n2.a1
intvolume: '        21'
issue: '2'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 299-322
publication: Communications in Mathematical Sciences
publication_identifier:
  issn:
  - 1539-6746
  - 1945-0796
publication_status: published
publisher: International Press of Boston
status: public
title: Relaxation in a Keller-Segel-consumption system involving signal-dependent
  motilities
type: journal_article
user_id: '31496'
volume: 21
year: '2023'
...
---
_id: '53343'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>The Cauchy problem
    in <jats:inline-formula>\r\n                     <jats:alternatives>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_math-2022-0578_eq_001.png\"
    />\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:msup>\r\n                              <m:mrow>\r\n
    \                                <m:mi mathvariant=\"double-struck\">R</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mi>n</m:mi>\r\n                              </m:mrow>\r\n
    \                          </m:msup>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>{{\\mathbb{R}}}^{n}</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>,
    <jats:inline-formula>\r\n                     <jats:alternatives>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_math-2022-0578_eq_002.png\"
    />\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mi>n</m:mi>\r\n                           <m:mo>≥</m:mo>\r\n
    \                          <m:mn>2</m:mn>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>n\\ge 2</jats:tex-math>\r\n                     </jats:alternatives>\r\n
    \                 </jats:inline-formula>, for <jats:disp-formula id=\"j_math-2022-0578_eq_001\">\r\n
    \                    <jats:alternatives>\r\n                        <jats:graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_math-2022-0578_eq_003.png\"
    />\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"
    display=\"block\">\r\n                           <m:mtable displaystyle=\"true\">\r\n
    \                             <m:mtr>\r\n                                 <m:mtd
    columnalign=\"right\">\r\n                                    <m:mfenced open=\"{\"
    close=\"\">\r\n                                       <m:mrow>\r\n                                          <m:mspace
    depth=\"1.25em\" />\r\n                                          <m:mtable displaystyle=\"true\">\r\n
    \                                            <m:mtr>\r\n                                                <m:mtd
    columnalign=\"left\">\r\n                                                   <m:msub>\r\n
    \                                                     <m:mrow>\r\n                                                         <m:mi>u</m:mi>\r\n
    \                                                     </m:mrow>\r\n                                                      <m:mrow>\r\n
    \                                                        <m:mi>t</m:mi>\r\n                                                      </m:mrow>\r\n
    \                                                  </m:msub>\r\n                                                   <m:mo>=</m:mo>\r\n
    \                                                  <m:mi mathvariant=\"normal\">Δ</m:mi>\r\n
    \                                                  <m:mi>u</m:mi>\r\n                                                   <m:mo>−</m:mo>\r\n
    \                                                  <m:mrow>\r\n                                                      <m:mo>∇</m:mo>\r\n
    \                                                  </m:mrow>\r\n                                                   <m:mo>⋅</m:mo>\r\n
    \                                                  <m:mrow>\r\n                                                      <m:mo>(</m:mo>\r\n
    \                                                     <m:mrow>\r\n                                                         <m:mi>u</m:mi>\r\n
    \                                                        <m:mi>S</m:mi>\r\n                                                         <m:mo>⋅</m:mo>\r\n
    \                                                        <m:mrow>\r\n                                                            <m:mo>∇</m:mo>\r\n
    \                                                        </m:mrow>\r\n                                                         <m:mi>v</m:mi>\r\n
    \                                                     </m:mrow>\r\n                                                      <m:mo>)</m:mo>\r\n
    \                                                  </m:mrow>\r\n                                                   <m:mo>,</m:mo>\r\n
    \                                               </m:mtd>\r\n                                             </m:mtr>\r\n
    \                                            <m:mtr>\r\n                                                <m:mtd
    columnalign=\"left\">\r\n                                                   <m:mn>0</m:mn>\r\n
    \                                                  <m:mo>=</m:mo>\r\n                                                   <m:mi
    mathvariant=\"normal\">Δ</m:mi>\r\n                                                   <m:mi>v</m:mi>\r\n
    \                                                  <m:mo>+</m:mo>\r\n                                                   <m:mi>u</m:mi>\r\n
    \                                                  <m:mo>,</m:mo>\r\n                                                </m:mtd>\r\n
    \                                            </m:mtr>\r\n                                          </m:mtable>\r\n
    \                                      </m:mrow>\r\n                                    </m:mfenced>\r\n
    \                                   <m:mspace width=\"2.0em\" />\r\n                                    <m:mspace
    width=\"2.0em\" />\r\n                                    <m:mspace width=\"2.0em\"
    />\r\n                                    <m:mrow>\r\n                                       <m:mo>(</m:mo>\r\n
    \                                      <m:mrow>\r\n                                          <m:mo>⋆</m:mo>\r\n
    \                                      </m:mrow>\r\n                                       <m:mo>)</m:mo>\r\n
    \                                   </m:mrow>\r\n                                 </m:mtd>\r\n
    \                             </m:mtr>\r\n                           </m:mtable>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>\\begin{array}{r}\\left\\{\\phantom{\\rule[-1.25em]{}{0ex}}\\begin{array}{l}{u}_{t}=\\Delta
    u-\\nabla \\cdot \\left(uS\\cdot \\nabla v),\\\\ 0=\\Delta v+u,\\end{array}\\right.\\hspace{2.0em}\\hspace{2.0em}\\hspace{2.0em}\\left(\\star
    )\\end{array}</jats:tex-math>\r\n                     </jats:alternatives>\r\n
    \                 </jats:disp-formula> is considered for general matrices <jats:inline-formula>\r\n
    \                    <jats:alternatives>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_math-2022-0578_eq_004.png\"
    />\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mi>S</m:mi>\r\n                           <m:mo>∈</m:mo>\r\n
    \                          <m:msup>\r\n                              <m:mrow>\r\n
    \                                <m:mi mathvariant=\"double-struck\">R</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mi>n</m:mi>\r\n                                 <m:mo>×</m:mo>\r\n
    \                                <m:mi>n</m:mi>\r\n                              </m:mrow>\r\n
    \                          </m:msup>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>S\\in {{\\mathbb{R}}}^{n\\times n}</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>.
    A theory of local-in-time classical existence and extensibility is developed in
    a framework that differs from those considered in large parts of the literature
    by involving bounded classical solutions. Specifically, it is shown that for all
    non-negative initial data belonging to <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_005.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mi
    mathvariant=\"normal\">BUC</m:mi>\r\n                           <m:mrow>\r\n                              <m:mo>(</m:mo>\r\n
    \                             <m:mrow>\r\n                                 <m:msup>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi
    mathvariant=\"double-struck\">R</m:mi>\r\n                                    </m:mrow>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>n</m:mi>\r\n
    \                                   </m:mrow>\r\n                                 </m:msup>\r\n
    \                             </m:mrow>\r\n                              <m:mo>)</m:mo>\r\n
    \                          </m:mrow>\r\n                           <m:mo>∩</m:mo>\r\n
    \                          <m:msup>\r\n                              <m:mrow>\r\n
    \                                <m:mi>L</m:mi>\r\n                              </m:mrow>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>p</m:mi>\r\n
    \                             </m:mrow>\r\n                           </m:msup>\r\n
    \                          <m:mrow>\r\n                              <m:mo>(</m:mo>\r\n
    \                             <m:mrow>\r\n                                 <m:msup>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi
    mathvariant=\"double-struck\">R</m:mi>\r\n                                    </m:mrow>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>n</m:mi>\r\n
    \                                   </m:mrow>\r\n                                 </m:msup>\r\n
    \                             </m:mrow>\r\n                              <m:mo>)</m:mo>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>{\\rm{BUC}}\\left({{\\mathbb{R}}}^{n})\\cap
    {L}^{p}\\left({{\\mathbb{R}}}^{n})</jats:tex-math>\r\n                     </jats:alternatives>\r\n
    \                 </jats:inline-formula> with some <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_006.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mi>p</m:mi>\r\n
    \                          <m:mo>∈</m:mo>\r\n                           <m:mrow>\r\n
    \                             <m:mo>[</m:mo>\r\n                              <m:mrow>\r\n
    \                                <m:mn>1</m:mn>\r\n                                 <m:mo>,</m:mo>\r\n
    \                                <m:mi>n</m:mi>\r\n                              </m:mrow>\r\n
    \                             <m:mo>)</m:mo>\r\n                           </m:mrow>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>p\\in
    \\left[1,n)</jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula>,
    there exist <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_007.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:msub>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>T</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mi>max</m:mi>\r\n                              </m:mrow>\r\n
    \                          </m:msub>\r\n                           <m:mo>∈</m:mo>\r\n
    \                          <m:mrow>\r\n                              <m:mo>(</m:mo>\r\n
    \                             <m:mrow>\r\n                                 <m:mn>0</m:mn>\r\n
    \                                <m:mo>,</m:mo>\r\n                                 <m:mi>∞</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mo>]</m:mo>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>{T}_{\\max }\\in \\left(0,\\infty ]</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>
    and a uniquely determined <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_008.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mi>u</m:mi>\r\n
    \                          <m:mo>∈</m:mo>\r\n                           <m:msup>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>C</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mn>0</m:mn>\r\n                              </m:mrow>\r\n
    \                          </m:msup>\r\n                           <m:mrow>\r\n
    \                             <m:mo>(</m:mo>\r\n                              <m:mrow>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>[</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:mn>0</m:mn>\r\n
    \                                      <m:mo>,</m:mo>\r\n                                       <m:msub>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi>T</m:mi>\r\n
    \                                         </m:mrow>\r\n                                          <m:mrow>\r\n
    \                                            <m:mi>max</m:mi>\r\n                                          </m:mrow>\r\n
    \                                      </m:msub>\r\n                                    </m:mrow>\r\n
    \                                   <m:mo>)</m:mo>\r\n                                 </m:mrow>\r\n
    \                                <m:mo>;</m:mo>\r\n                                 <m:mspace
    width=\"0.33em\" />\r\n                                 <m:mi mathvariant=\"normal\">BUC</m:mi>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>(</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:msup>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi
    mathvariant=\"double-struck\">R</m:mi>\r\n                                          </m:mrow>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi>n</m:mi>\r\n
    \                                         </m:mrow>\r\n                                       </m:msup>\r\n
    \                                   </m:mrow>\r\n                                    <m:mo>)</m:mo>\r\n
    \                                </m:mrow>\r\n                              </m:mrow>\r\n
    \                             <m:mo>)</m:mo>\r\n                           </m:mrow>\r\n
    \                          <m:mo>∩</m:mo>\r\n                           <m:msup>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>C</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mn>0</m:mn>\r\n                              </m:mrow>\r\n
    \                          </m:msup>\r\n                           <m:mrow>\r\n
    \                             <m:mo>(</m:mo>\r\n                              <m:mrow>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>[</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:mn>0</m:mn>\r\n
    \                                      <m:mo>,</m:mo>\r\n                                       <m:msub>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi>T</m:mi>\r\n
    \                                         </m:mrow>\r\n                                          <m:mrow>\r\n
    \                                            <m:mi>max</m:mi>\r\n                                          </m:mrow>\r\n
    \                                      </m:msub>\r\n                                    </m:mrow>\r\n
    \                                   <m:mo>)</m:mo>\r\n                                 </m:mrow>\r\n
    \                                <m:mo>;</m:mo>\r\n                                 <m:mspace
    width=\"0.33em\" />\r\n                                 <m:msup>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>L</m:mi>\r\n                                    </m:mrow>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>p</m:mi>\r\n
    \                                   </m:mrow>\r\n                                 </m:msup>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>(</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:msup>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi
    mathvariant=\"double-struck\">R</m:mi>\r\n                                          </m:mrow>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi>n</m:mi>\r\n
    \                                         </m:mrow>\r\n                                       </m:msup>\r\n
    \                                   </m:mrow>\r\n                                    <m:mo>)</m:mo>\r\n
    \                                </m:mrow>\r\n                              </m:mrow>\r\n
    \                             <m:mo>)</m:mo>\r\n                           </m:mrow>\r\n
    \                          <m:mo>∩</m:mo>\r\n                           <m:msup>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>C</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mi>∞</m:mi>\r\n                              </m:mrow>\r\n
    \                          </m:msup>\r\n                           <m:mrow>\r\n
    \                             <m:mo>(</m:mo>\r\n                              <m:mrow>\r\n
    \                                <m:msup>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi mathvariant=\"double-struck\">R</m:mi>\r\n
    \                                   </m:mrow>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>n</m:mi>\r\n                                    </m:mrow>\r\n
    \                                </m:msup>\r\n                                 <m:mo>×</m:mo>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>(</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:mn>0</m:mn>\r\n
    \                                      <m:mo>,</m:mo>\r\n                                       <m:msub>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi>T</m:mi>\r\n
    \                                         </m:mrow>\r\n                                          <m:mrow>\r\n
    \                                            <m:mi>max</m:mi>\r\n                                          </m:mrow>\r\n
    \                                      </m:msub>\r\n                                    </m:mrow>\r\n
    \                                   <m:mo>)</m:mo>\r\n                                 </m:mrow>\r\n
    \                             </m:mrow>\r\n                              <m:mo>)</m:mo>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>u\\in {C}^{0}\\left(\\left[0,{T}_{\\max
    });\\hspace{0.33em}{\\rm{BUC}}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{0}\\left(\\left[0,{T}_{\\max
    });\\hspace{0.33em}{L}^{p}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{\\infty }\\left({{\\mathbb{R}}}^{n}\\times
    \\left(0,{T}_{\\max }))</jats:tex-math>\r\n                     </jats:alternatives>\r\n
    \                 </jats:inline-formula> such that with <jats:inline-formula>\r\n
    \                    <jats:alternatives>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_math-2022-0578_eq_009.png\"
    />\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mi>v</m:mi>\r\n                           <m:mo>≔</m:mo>\r\n
    \                          <m:mi mathvariant=\"normal\">Γ</m:mi>\r\n                           <m:mo>⋆</m:mo>\r\n
    \                          <m:mi>u</m:mi>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>v:= \\Gamma \\star u</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>,
    and with <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_010.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mi
    mathvariant=\"normal\">Γ</m:mi>\r\n                        </m:math>\r\n                        <jats:tex-math>\\Gamma
    </jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula>
    denoting the Newtonian kernel on <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_011.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:msup>\r\n
    \                             <m:mrow>\r\n                                 <m:mi
    mathvariant=\"double-struck\">R</m:mi>\r\n                              </m:mrow>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>n</m:mi>\r\n
    \                             </m:mrow>\r\n                           </m:msup>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>{{\\mathbb{R}}}^{n}</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>,
    the pair <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_012.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mrow>\r\n
    \                             <m:mo>(</m:mo>\r\n                              <m:mrow>\r\n
    \                                <m:mi>u</m:mi>\r\n                                 <m:mo>,</m:mo>\r\n
    \                                <m:mi>v</m:mi>\r\n                              </m:mrow>\r\n
    \                             <m:mo>)</m:mo>\r\n                           </m:mrow>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>\\left(u,v)</jats:tex-math>\r\n
    \                    </jats:alternatives>\r\n                  </jats:inline-formula>
    forms a classical solution of (<jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_013.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mo>⋆</m:mo>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>\\star
    </jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula>)
    in <jats:inline-formula>\r\n                     <jats:alternatives>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_math-2022-0578_eq_014.png\"
    />\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:msup>\r\n                              <m:mrow>\r\n
    \                                <m:mi mathvariant=\"double-struck\">R</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mi>n</m:mi>\r\n                              </m:mrow>\r\n
    \                          </m:msup>\r\n                           <m:mo>×</m:mo>\r\n
    \                          <m:mrow>\r\n                              <m:mo>(</m:mo>\r\n
    \                             <m:mrow>\r\n                                 <m:mn>0</m:mn>\r\n
    \                                <m:mo>,</m:mo>\r\n                                 <m:msub>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>T</m:mi>\r\n
    \                                   </m:mrow>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>max</m:mi>\r\n                                    </m:mrow>\r\n
    \                                </m:msub>\r\n                              </m:mrow>\r\n
    \                             <m:mo>)</m:mo>\r\n                           </m:mrow>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>{{\\mathbb{R}}}^{n}\\times
    \\left(0,{T}_{\\max })</jats:tex-math>\r\n                     </jats:alternatives>\r\n
    \                 </jats:inline-formula>, which has the property that <jats:disp-formula
    id=\"j_math-2022-0578_eq_002\">\r\n                     <jats:alternatives>\r\n
    \                       <jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_015.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"block\">\r\n                           <m:mspace
    width=\"0.1em\" />\r\n                           <m:mtext>if</m:mtext>\r\n                           <m:mspace
    width=\"0.1em\" />\r\n                           <m:mspace width=\"0.33em\" />\r\n
    \                          <m:msub>\r\n                              <m:mrow>\r\n
    \                                <m:mi>T</m:mi>\r\n                              </m:mrow>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>max</m:mi>\r\n
    \                             </m:mrow>\r\n                           </m:msub>\r\n
    \                          <m:mo>&lt;</m:mo>\r\n                           <m:mi>∞</m:mi>\r\n
    \                          <m:mo>,</m:mo>\r\n                           <m:mspace
    width=\"1.0em\" />\r\n                           <m:mstyle>\r\n                              <m:mspace
    width=\"0.1em\" />\r\n                              <m:mtext>then both</m:mtext>\r\n
    \                             <m:mspace width=\"0.1em\" />\r\n                           </m:mstyle>\r\n
    \                          <m:mspace width=\"0.33em\" />\r\n                           <m:munder>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>limsup</m:mi>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:mi>t</m:mi>\r\n                                 <m:mo>↗</m:mo>\r\n
    \                                <m:msub>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>T</m:mi>\r\n                                    </m:mrow>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>max</m:mi>\r\n
    \                                   </m:mrow>\r\n                                 </m:msub>\r\n
    \                             </m:mrow>\r\n                           </m:munder>\r\n
    \                          <m:msub>\r\n                              <m:mrow>\r\n
    \                                <m:mo>‖</m:mo>\r\n                                 <m:mi>u</m:mi>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>(</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:mo>⋅</m:mo>\r\n
    \                                      <m:mo>,</m:mo>\r\n                                       <m:mi>t</m:mi>\r\n
    \                                   </m:mrow>\r\n                                    <m:mo>)</m:mo>\r\n
    \                                </m:mrow>\r\n                                 <m:mo>‖</m:mo>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:msup>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>L</m:mi>\r\n                                    </m:mrow>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>∞</m:mi>\r\n
    \                                   </m:mrow>\r\n                                 </m:msup>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>(</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:msup>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi
    mathvariant=\"double-struck\">R</m:mi>\r\n                                          </m:mrow>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi>n</m:mi>\r\n
    \                                         </m:mrow>\r\n                                       </m:msup>\r\n
    \                                   </m:mrow>\r\n                                    <m:mo>)</m:mo>\r\n
    \                                </m:mrow>\r\n                              </m:mrow>\r\n
    \                          </m:msub>\r\n                           <m:mo>=</m:mo>\r\n
    \                          <m:mi>∞</m:mi>\r\n                           <m:mspace
    width=\"1.0em\" />\r\n                           <m:mspace width=\"0.1em\" />\r\n
    \                          <m:mtext>and</m:mtext>\r\n                           <m:mspace
    width=\"0.1em\" />\r\n                           <m:mspace width=\"1.0em\" />\r\n
    \                          <m:munder>\r\n                              <m:mrow>\r\n
    \                                <m:mi>limsup</m:mi>\r\n                              </m:mrow>\r\n
    \                             <m:mrow>\r\n                                 <m:mi>t</m:mi>\r\n
    \                                <m:mo>↗</m:mo>\r\n                                 <m:msub>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>T</m:mi>\r\n
    \                                   </m:mrow>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>max</m:mi>\r\n                                    </m:mrow>\r\n
    \                                </m:msub>\r\n                              </m:mrow>\r\n
    \                          </m:munder>\r\n                           <m:msub>\r\n
    \                             <m:mrow>\r\n                                 <m:mo>‖</m:mo>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>∇</m:mo>\r\n
    \                                </m:mrow>\r\n                                 <m:mi>v</m:mi>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>(</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:mo>⋅</m:mo>\r\n
    \                                      <m:mo>,</m:mo>\r\n                                       <m:mi>t</m:mi>\r\n
    \                                   </m:mrow>\r\n                                    <m:mo>)</m:mo>\r\n
    \                                </m:mrow>\r\n                                 <m:mo>‖</m:mo>\r\n
    \                             </m:mrow>\r\n                              <m:mrow>\r\n
    \                                <m:msup>\r\n                                    <m:mrow>\r\n
    \                                      <m:mi>L</m:mi>\r\n                                    </m:mrow>\r\n
    \                                   <m:mrow>\r\n                                       <m:mi>∞</m:mi>\r\n
    \                                   </m:mrow>\r\n                                 </m:msup>\r\n
    \                                <m:mrow>\r\n                                    <m:mo>(</m:mo>\r\n
    \                                   <m:mrow>\r\n                                       <m:msup>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi
    mathvariant=\"double-struck\">R</m:mi>\r\n                                          </m:mrow>\r\n
    \                                         <m:mrow>\r\n                                             <m:mi>n</m:mi>\r\n
    \                                         </m:mrow>\r\n                                       </m:msup>\r\n
    \                                   </m:mrow>\r\n                                    <m:mo>)</m:mo>\r\n
    \                                </m:mrow>\r\n                              </m:mrow>\r\n
    \                          </m:msub>\r\n                           <m:mo>=</m:mo>\r\n
    \                          <m:mi>∞</m:mi>\r\n                           <m:mo>.</m:mo>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>\\hspace{0.1em}\\text{if}\\hspace{0.1em}\\hspace{0.33em}{T}_{\\max
    }\\lt \\infty ,\\hspace{1.0em}\\hspace{0.1em}\\text{then both}\\hspace{0.1em}\\hspace{0.33em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow
    {T}_{\\max }}\\Vert u\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty
    \\hspace{1.0em}\\hspace{0.1em}\\text{and}\\hspace{0.1em}\\hspace{1.0em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow
    {T}_{\\max }}\\Vert \\nabla v\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty
    .</jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:disp-formula>
    An exemplary application of this provides a result on global classical solvability
    in cases when <jats:inline-formula>\r\n                     <jats:alternatives>\r\n
    \                       <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    xlink:href=\"graphic/j_math-2022-0578_eq_016.png\" />\r\n                        <m:math
    xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mo>∣</m:mo>\r\n
    \                          <m:mi>S</m:mi>\r\n                           <m:mo>+</m:mo>\r\n
    \                          <m:mn mathvariant=\"bold\">1</m:mn>\r\n                           <m:mo>∣</m:mo>\r\n
    \                       </m:math>\r\n                        <jats:tex-math>|
    S+{\\bf{1}}| </jats:tex-math>\r\n                     </jats:alternatives>\r\n
    \                 </jats:inline-formula> is sufficiently small, where <jats:inline-formula>\r\n
    \                    <jats:alternatives>\r\n                        <jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_math-2022-0578_eq_017.png\"
    />\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                          <m:mn mathvariant=\"bold\">1</m:mn>\r\n                           <m:mo>=</m:mo>\r\n
    \                          <m:mi mathvariant=\"normal\">diag</m:mi>\r\n                           <m:mspace
    width=\"0.33em\" />\r\n                           <m:mrow>\r\n                              <m:mo>(</m:mo>\r\n
    \                             <m:mrow>\r\n                                 <m:mn>1</m:mn>\r\n
    \                                <m:mo>,</m:mo>\r\n                                 <m:mrow>\r\n
    \                                   <m:mo>…</m:mo>\r\n                                 </m:mrow>\r\n
    \                                <m:mo>,</m:mo>\r\n                                 <m:mn>1</m:mn>\r\n
    \                             </m:mrow>\r\n                              <m:mo>)</m:mo>\r\n
    \                          </m:mrow>\r\n                        </m:math>\r\n
    \                       <jats:tex-math>{\\bf{1}}={\\rm{diag}}\\hspace{0.33em}\\left(1,\\ldots
    ,1)</jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula>.</jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Classical solutions to Cauchy problems for parabolic–elliptic systems
    of Keller-Segel type. <i>Open Mathematics</i>. 2023;21(1). doi:<a href="https://doi.org/10.1515/math-2022-0578">10.1515/math-2022-0578</a>
  apa: Winkler, M. (2023). Classical solutions to Cauchy problems for parabolic–elliptic
    systems of Keller-Segel type. <i>Open Mathematics</i>, <i>21</i>(1). <a href="https://doi.org/10.1515/math-2022-0578">https://doi.org/10.1515/math-2022-0578</a>
  bibtex: '@article{Winkler_2023, title={Classical solutions to Cauchy problems for
    parabolic–elliptic systems of Keller-Segel type}, volume={21}, DOI={<a href="https://doi.org/10.1515/math-2022-0578">10.1515/math-2022-0578</a>},
    number={1}, journal={Open Mathematics}, publisher={Walter de Gruyter GmbH}, author={Winkler,
    Michael}, year={2023} }'
  chicago: Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic
    Systems of Keller-Segel Type.” <i>Open Mathematics</i> 21, no. 1 (2023). <a href="https://doi.org/10.1515/math-2022-0578">https://doi.org/10.1515/math-2022-0578</a>.
  ieee: 'M. Winkler, “Classical solutions to Cauchy problems for parabolic–elliptic
    systems of Keller-Segel type,” <i>Open Mathematics</i>, vol. 21, no. 1, 2023,
    doi: <a href="https://doi.org/10.1515/math-2022-0578">10.1515/math-2022-0578</a>.'
  mla: Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic
    Systems of Keller-Segel Type.” <i>Open Mathematics</i>, vol. 21, no. 1, Walter
    de Gruyter GmbH, 2023, doi:<a href="https://doi.org/10.1515/math-2022-0578">10.1515/math-2022-0578</a>.
  short: M. Winkler, Open Mathematics 21 (2023).
date_created: 2024-04-07T12:54:31Z
date_updated: 2024-04-07T12:54:34Z
doi: 10.1515/math-2022-0578
intvolume: '        21'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
publication: Open Mathematics
publication_identifier:
  issn:
  - 2391-5455
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel
  type
type: journal_article
user_id: '31496'
volume: 21
year: '2023'
...