---
_id: '63327'
article_number: '103257'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: 'Winkler M. Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes
    system with gradient-dependent flux limitation. <i>Nonlinear Analysis: Real World
    Applications</i>. 2020;59. doi:<a href="https://doi.org/10.1016/j.nonrwa.2020.103257">10.1016/j.nonrwa.2020.103257</a>'
  apa: 'Winkler, M. (2020). Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes
    system with gradient-dependent flux limitation. <i>Nonlinear Analysis: Real World
    Applications</i>, <i>59</i>, Article 103257. <a href="https://doi.org/10.1016/j.nonrwa.2020.103257">https://doi.org/10.1016/j.nonrwa.2020.103257</a>'
  bibtex: '@article{Winkler_2020, title={Global weak solutions in a three-dimensional
    Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation}, volume={59},
    DOI={<a href="https://doi.org/10.1016/j.nonrwa.2020.103257">10.1016/j.nonrwa.2020.103257</a>},
    number={103257}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Winkler, Michael}, year={2020} }'
  chicago: 'Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller–Segel–Navier–Stokes
    System with Gradient-Dependent Flux Limitation.” <i>Nonlinear Analysis: Real World
    Applications</i> 59 (2020). <a href="https://doi.org/10.1016/j.nonrwa.2020.103257">https://doi.org/10.1016/j.nonrwa.2020.103257</a>.'
  ieee: 'M. Winkler, “Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes
    system with gradient-dependent flux limitation,” <i>Nonlinear Analysis: Real World
    Applications</i>, vol. 59, Art. no. 103257, 2020, doi: <a href="https://doi.org/10.1016/j.nonrwa.2020.103257">10.1016/j.nonrwa.2020.103257</a>.'
  mla: 'Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller–Segel–Navier–Stokes
    System with Gradient-Dependent Flux Limitation.” <i>Nonlinear Analysis: Real World
    Applications</i>, vol. 59, 103257, Elsevier BV, 2020, doi:<a href="https://doi.org/10.1016/j.nonrwa.2020.103257">10.1016/j.nonrwa.2020.103257</a>.'
  short: 'M. Winkler, Nonlinear Analysis: Real World Applications 59 (2020).'
date_created: 2025-12-18T19:36:51Z
date_updated: 2025-12-18T19:59:57Z
doi: 10.1016/j.nonrwa.2020.103257
intvolume: '        59'
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system
  with gradient-dependent flux limitation
type: journal_article
user_id: '31496'
volume: 59
year: '2020'
...
---
_id: '63333'
article_number: '111870'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. A critical virus production rate for blow-up suppression
    in a haptotaxis model for oncolytic virotherapy. <i>Nonlinear Analysis</i>. 2020;198.
    doi:<a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>
  apa: Tao, Y., &#38; Winkler, M. (2020). A critical virus production rate for blow-up
    suppression in a haptotaxis model for oncolytic virotherapy. <i>Nonlinear Analysis</i>,
    <i>198</i>, Article 111870. <a href="https://doi.org/10.1016/j.na.2020.111870">https://doi.org/10.1016/j.na.2020.111870</a>
  bibtex: '@article{Tao_Winkler_2020, title={A critical virus production rate for
    blow-up suppression in a haptotaxis model for oncolytic virotherapy}, volume={198},
    DOI={<a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>},
    number={111870}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao,
    Youshan and Winkler, Michael}, year={2020} }'
  chicago: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for
    Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” <i>Nonlinear
    Analysis</i> 198 (2020). <a href="https://doi.org/10.1016/j.na.2020.111870">https://doi.org/10.1016/j.na.2020.111870</a>.
  ieee: 'Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression
    in a haptotaxis model for oncolytic virotherapy,” <i>Nonlinear Analysis</i>, vol.
    198, Art. no. 111870, 2020, doi: <a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>.'
  mla: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up
    Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” <i>Nonlinear Analysis</i>,
    vol. 198, 111870, Elsevier BV, 2020, doi:<a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>.
  short: Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020).
date_created: 2025-12-18T19:39:40Z
date_updated: 2025-12-18T20:01:18Z
doi: 10.1016/j.na.2020.111870
intvolume: '       198'
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: A critical virus production rate for blow-up suppression in a haptotaxis model
  for oncolytic virotherapy
type: journal_article
user_id: '31496'
volume: 198
year: '2020'
...
---
_id: '63328'
article_number: '106785'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Boundedness in a three-dimensional Keller–Segel–Stokes system with
    subcritical sensitivity. <i>Applied Mathematics Letters</i>. 2020;112. doi:<a
    href="https://doi.org/10.1016/j.aml.2020.106785">10.1016/j.aml.2020.106785</a>
  apa: Winkler, M. (2020). Boundedness in a three-dimensional Keller–Segel–Stokes
    system with subcritical sensitivity. <i>Applied Mathematics Letters</i>, <i>112</i>,
    Article 106785. <a href="https://doi.org/10.1016/j.aml.2020.106785">https://doi.org/10.1016/j.aml.2020.106785</a>
  bibtex: '@article{Winkler_2020, title={Boundedness in a three-dimensional Keller–Segel–Stokes
    system with subcritical sensitivity}, volume={112}, DOI={<a href="https://doi.org/10.1016/j.aml.2020.106785">10.1016/j.aml.2020.106785</a>},
    number={106785}, journal={Applied Mathematics Letters}, publisher={Elsevier BV},
    author={Winkler, Michael}, year={2020} }'
  chicago: Winkler, Michael. “Boundedness in a Three-Dimensional Keller–Segel–Stokes
    System with Subcritical Sensitivity.” <i>Applied Mathematics Letters</i> 112 (2020).
    <a href="https://doi.org/10.1016/j.aml.2020.106785">https://doi.org/10.1016/j.aml.2020.106785</a>.
  ieee: 'M. Winkler, “Boundedness in a three-dimensional Keller–Segel–Stokes system
    with subcritical sensitivity,” <i>Applied Mathematics Letters</i>, vol. 112, Art.
    no. 106785, 2020, doi: <a href="https://doi.org/10.1016/j.aml.2020.106785">10.1016/j.aml.2020.106785</a>.'
  mla: Winkler, Michael. “Boundedness in a Three-Dimensional Keller–Segel–Stokes System
    with Subcritical Sensitivity.” <i>Applied Mathematics Letters</i>, vol. 112, 106785,
    Elsevier BV, 2020, doi:<a href="https://doi.org/10.1016/j.aml.2020.106785">10.1016/j.aml.2020.106785</a>.
  short: M. Winkler, Applied Mathematics Letters 112 (2020).
date_created: 2025-12-18T19:37:32Z
date_updated: 2025-12-18T20:00:10Z
doi: 10.1016/j.aml.2020.106785
intvolume: '       112'
language:
- iso: eng
publication: Applied Mathematics Letters
publication_identifier:
  issn:
  - 0893-9659
publication_status: published
publisher: Elsevier BV
status: public
title: Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical
  sensitivity
type: journal_article
user_id: '31496'
volume: 112
year: '2020'
...
---
_id: '63320'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Critical mass for infinite-time blow-up in a haptotaxis system
    with nonlinear zero-order interaction. <i>Discrete &#38;amp; Continuous Dynamical
    Systems - A</i>. 2020;41(1):439-454. doi:<a href="https://doi.org/10.3934/dcds.2020216">10.3934/dcds.2020216</a>
  apa: Tao, Y., &#38; Winkler, M. (2020). Critical mass for infinite-time blow-up
    in a haptotaxis system with nonlinear zero-order interaction. <i>Discrete &#38;amp;
    Continuous Dynamical Systems - A</i>, <i>41</i>(1), 439–454. <a href="https://doi.org/10.3934/dcds.2020216">https://doi.org/10.3934/dcds.2020216</a>
  bibtex: '@article{Tao_Winkler_2020, title={Critical mass for infinite-time blow-up
    in a haptotaxis system with nonlinear zero-order interaction}, volume={41}, DOI={<a
    href="https://doi.org/10.3934/dcds.2020216">10.3934/dcds.2020216</a>}, number={1},
    journal={Discrete &#38;amp; Continuous Dynamical Systems - A}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler,
    Michael}, year={2020}, pages={439–454} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up
    in a Haptotaxis System with Nonlinear Zero-Order Interaction.” <i>Discrete &#38;amp;
    Continuous Dynamical Systems - A</i> 41, no. 1 (2020): 439–54. <a href="https://doi.org/10.3934/dcds.2020216">https://doi.org/10.3934/dcds.2020216</a>.'
  ieee: 'Y. Tao and M. Winkler, “Critical mass for infinite-time blow-up in a haptotaxis
    system with nonlinear zero-order interaction,” <i>Discrete &#38;amp; Continuous
    Dynamical Systems - A</i>, vol. 41, no. 1, pp. 439–454, 2020, doi: <a href="https://doi.org/10.3934/dcds.2020216">10.3934/dcds.2020216</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up
    in a Haptotaxis System with Nonlinear Zero-Order Interaction.” <i>Discrete &#38;amp;
    Continuous Dynamical Systems - A</i>, vol. 41, no. 1, American Institute of Mathematical
    Sciences (AIMS), 2020, pp. 439–54, doi:<a href="https://doi.org/10.3934/dcds.2020216">10.3934/dcds.2020216</a>.
  short: Y. Tao, M. Winkler, Discrete &#38;amp; Continuous Dynamical Systems - A 41
    (2020) 439–454.
date_created: 2025-12-18T19:33:59Z
date_updated: 2025-12-18T20:04:09Z
doi: 10.3934/dcds.2020216
intvolume: '        41'
issue: '1'
language:
- iso: eng
page: 439-454
publication: Discrete &amp; Continuous Dynamical Systems - A
publication_identifier:
  issn:
  - 1553-5231
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear
  zero-order interaction
type: journal_article
user_id: '31496'
volume: 41
year: '2020'
...
---
_id: '63335'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Small-Mass Solutions in the Two-Dimensional Keller--Segel System
    Coupled to the Navier--Stokes Equations. <i>SIAM Journal on Mathematical Analysis</i>.
    2020;52(2):2041-2080. doi:<a href="https://doi.org/10.1137/19m1264199">10.1137/19m1264199</a>
  apa: Winkler, M. (2020). Small-Mass Solutions in the Two-Dimensional Keller--Segel
    System Coupled to the Navier--Stokes Equations. <i>SIAM Journal on Mathematical
    Analysis</i>, <i>52</i>(2), 2041–2080. <a href="https://doi.org/10.1137/19m1264199">https://doi.org/10.1137/19m1264199</a>
  bibtex: '@article{Winkler_2020, title={Small-Mass Solutions in the Two-Dimensional
    Keller--Segel System Coupled to the Navier--Stokes Equations}, volume={52}, DOI={<a
    href="https://doi.org/10.1137/19m1264199">10.1137/19m1264199</a>}, number={2},
    journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial
    &#38; Applied Mathematics (SIAM)}, author={Winkler, Michael}, year={2020}, pages={2041–2080}
    }'
  chicago: 'Winkler, Michael. “Small-Mass Solutions in the Two-Dimensional Keller--Segel
    System Coupled to the Navier--Stokes Equations.” <i>SIAM Journal on Mathematical
    Analysis</i> 52, no. 2 (2020): 2041–80. <a href="https://doi.org/10.1137/19m1264199">https://doi.org/10.1137/19m1264199</a>.'
  ieee: 'M. Winkler, “Small-Mass Solutions in the Two-Dimensional Keller--Segel System
    Coupled to the Navier--Stokes Equations,” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 52, no. 2, pp. 2041–2080, 2020, doi: <a href="https://doi.org/10.1137/19m1264199">10.1137/19m1264199</a>.'
  mla: Winkler, Michael. “Small-Mass Solutions in the Two-Dimensional Keller--Segel
    System Coupled to the Navier--Stokes Equations.” <i>SIAM Journal on Mathematical
    Analysis</i>, vol. 52, no. 2, Society for Industrial &#38; Applied Mathematics
    (SIAM), 2020, pp. 2041–80, doi:<a href="https://doi.org/10.1137/19m1264199">10.1137/19m1264199</a>.
  short: M. Winkler, SIAM Journal on Mathematical Analysis 52 (2020) 2041–2080.
date_created: 2025-12-18T19:40:35Z
date_updated: 2025-12-18T20:01:42Z
doi: 10.1137/19m1264199
intvolume: '        52'
issue: '2'
language:
- iso: eng
page: 2041-2080
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
  issn:
  - 0036-1410
  - 1095-7154
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to
  the Navier--Stokes Equations
type: journal_article
user_id: '31496'
volume: 52
year: '2020'
...
---
_id: '63318'
abstract:
- lang: eng
  text: <jats:p>In a planar smoothly bounded domain<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline1.png"
    /><jats:tex-math>$\Omega$</jats:tex-math></jats:alternatives></jats:inline-formula>,
    we consider the model for oncolytic virotherapy given by<jats:disp-formula id="S0956792520000133_udisp1"><jats:alternatives><jats:graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image"
    xlink:href="S0956792520000133_eqnu1.png" /><jats:tex-math>$$\left\{ \begin{array}{l}
    u_t = \Delta u - \nabla \cdot (u\nabla v) - uz, \\[1mm] v_t = - (u+w)v, \\[1mm]
    w_t = d_w \Delta w - w + uz, \\[1mm] z_t = d_z \Delta z - z - uz + \beta w, \end{array}
    \right.$$</jats:tex-math></jats:alternatives></jats:disp-formula>with positive
    parameters<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0956792520000133_inline2.png" /><jats:tex-math>$
    D_w $</jats:tex-math></jats:alternatives></jats:inline-formula>,<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline3.png"
    /><jats:tex-math>$ D_z $</jats:tex-math></jats:alternatives></jats:inline-formula>and<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline4.png"
    /><jats:tex-math>$\beta$</jats:tex-math></jats:alternatives></jats:inline-formula>.
    It is firstly shown that whenever<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline5.png"
    /><jats:tex-math>$\beta \lt 1$</jats:tex-math></jats:alternatives></jats:inline-formula>,
    for any choice of<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline6.png"
    /><jats:tex-math>$M \gt 0$</jats:tex-math></jats:alternatives></jats:inline-formula>,
    one can find initial data such that the solution of an associated no-flux initial-boundary
    value problem, well known to exist globally actually for any choice of<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline7.png"
    /><jats:tex-math>$\beta \gt 0$</jats:tex-math></jats:alternatives></jats:inline-formula>,
    satisfies<jats:disp-formula id="S0956792520000133_udisp2"><jats:alternatives><jats:graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image"
    xlink:href="S0956792520000133_eqnu2.png" /><jats:tex-math>$$u\ge M \qquad \mbox{in
    } \Omega\times (0,\infty).$$</jats:tex-math></jats:alternatives></jats:disp-formula>If<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline8.png"
    /><jats:tex-math>$\beta \gt 1$</jats:tex-math></jats:alternatives></jats:inline-formula>,
    however, then for arbitrary initial data the corresponding is seen to have the
    property that<jats:disp-formula id="S0956792520000133_udisp3"><jats:alternatives><jats:graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image"
    xlink:href="S0956792520000133_eqnu3.png" /><jats:tex-math>$$\liminf_{t\to\infty}
    \inf_{x\in\Omega} u(x,t)\le \frac{1}{\beta-1}.$$</jats:tex-math></jats:alternatives></jats:disp-formula>This
    may be interpreted as indicating that<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline9.png"
    /><jats:tex-math>$\beta$</jats:tex-math></jats:alternatives></jats:inline-formula>plays
    the role of a critical virus replication rate with regard to efficiency of the
    considered virotherapy, with corresponding threshold value given by<jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0956792520000133_inline10.png"
    /><jats:tex-math>$\beta = 1$</jats:tex-math></jats:alternatives></jats:inline-formula>.</jats:p>
author:
- first_name: YOUSHAN
  full_name: TAO, YOUSHAN
  last_name: TAO
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: TAO Y, Winkler M. A critical virus production rate for efficiency of oncolytic
    virotherapy. <i>European Journal of Applied Mathematics</i>. 2020;32(2):301-316.
    doi:<a href="https://doi.org/10.1017/s0956792520000133">10.1017/s0956792520000133</a>
  apa: TAO, Y., &#38; Winkler, M. (2020). A critical virus production rate for efficiency
    of oncolytic virotherapy. <i>European Journal of Applied Mathematics</i>, <i>32</i>(2),
    301–316. <a href="https://doi.org/10.1017/s0956792520000133">https://doi.org/10.1017/s0956792520000133</a>
  bibtex: '@article{TAO_Winkler_2020, title={A critical virus production rate for
    efficiency of oncolytic virotherapy}, volume={32}, DOI={<a href="https://doi.org/10.1017/s0956792520000133">10.1017/s0956792520000133</a>},
    number={2}, journal={European Journal of Applied Mathematics}, publisher={Cambridge
    University Press (CUP)}, author={TAO, YOUSHAN and Winkler, Michael}, year={2020},
    pages={301–316} }'
  chicago: 'TAO, YOUSHAN, and Michael Winkler. “A Critical Virus Production Rate for
    Efficiency of Oncolytic Virotherapy.” <i>European Journal of Applied Mathematics</i>
    32, no. 2 (2020): 301–16. <a href="https://doi.org/10.1017/s0956792520000133">https://doi.org/10.1017/s0956792520000133</a>.'
  ieee: 'Y. TAO and M. Winkler, “A critical virus production rate for efficiency of
    oncolytic virotherapy,” <i>European Journal of Applied Mathematics</i>, vol. 32,
    no. 2, pp. 301–316, 2020, doi: <a href="https://doi.org/10.1017/s0956792520000133">10.1017/s0956792520000133</a>.'
  mla: TAO, YOUSHAN, and Michael Winkler. “A Critical Virus Production Rate for Efficiency
    of Oncolytic Virotherapy.” <i>European Journal of Applied Mathematics</i>, vol.
    32, no. 2, Cambridge University Press (CUP), 2020, pp. 301–16, doi:<a href="https://doi.org/10.1017/s0956792520000133">10.1017/s0956792520000133</a>.
  short: Y. TAO, M. Winkler, European Journal of Applied Mathematics 32 (2020) 301–316.
date_created: 2025-12-18T19:33:01Z
date_updated: 2025-12-18T20:06:35Z
doi: 10.1017/s0956792520000133
intvolume: '        32'
issue: '2'
language:
- iso: eng
page: 301-316
publication: European Journal of Applied Mathematics
publication_identifier:
  issn:
  - 0956-7925
  - 1469-4425
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: A critical virus production rate for efficiency of oncolytic virotherapy
type: journal_article
user_id: '31496'
volume: 32
year: '2020'
...
---
_id: '63314'
abstract:
- lang: eng
  text: <jats:p>We propose and study a class of parabolic-ordinary differential equation
    models involving chemotaxis and haptotaxis of a species following signals indirectly
    produced by another, non-motile one. The setting is motivated by cancer invasion
    mediated by interactions with the tumour microenvironment, but has much wider
    applicability, being able to comprise descriptions of biologically quite different
    problems. As a main mathematical feature constituting a core difference to both
    classical Keller–Segel chemotaxis systems and Chaplain–Lolas type chemotaxis–haptotaxis
    systems, the considered model accounts for certain types of indirect signal production
    mechanisms. The main results assert unique global classical solvability under
    suitably mild assumptions on the system parameter functions in associated spatially
    two-dimensional initial-boundary value problems. In particular, this rigorously
    confirms that at least in two-dimensional settings, the considered indirectness
    in signal production induces a significant blow-up suppressing tendency also in
    taxis systems substantially more general than some particular examples for which
    corresponding effects have recently been observed.</jats:p>
author:
- first_name: CHRISTINA
  full_name: SURULESCU, CHRISTINA
  last_name: SURULESCU
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: SURULESCU C, Winkler M. Does indirectness of signal production reduce the explosion-supporting
    potential in chemotaxis–haptotaxis systems? Global classical solvability in a
    class of models for cancer invasion (and more). <i>European Journal of Applied
    Mathematics</i>. 2020;32(4):618-651. doi:<a href="https://doi.org/10.1017/s0956792520000236">10.1017/s0956792520000236</a>
  apa: SURULESCU, C., &#38; Winkler, M. (2020). Does indirectness of signal production
    reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global
    classical solvability in a class of models for cancer invasion (and more). <i>European
    Journal of Applied Mathematics</i>, <i>32</i>(4), 618–651. <a href="https://doi.org/10.1017/s0956792520000236">https://doi.org/10.1017/s0956792520000236</a>
  bibtex: '@article{SURULESCU_Winkler_2020, title={Does indirectness of signal production
    reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global
    classical solvability in a class of models for cancer invasion (and more)}, volume={32},
    DOI={<a href="https://doi.org/10.1017/s0956792520000236">10.1017/s0956792520000236</a>},
    number={4}, journal={European Journal of Applied Mathematics}, publisher={Cambridge
    University Press (CUP)}, author={SURULESCU, CHRISTINA and Winkler, Michael}, year={2020},
    pages={618–651} }'
  chicago: 'SURULESCU, CHRISTINA, and Michael Winkler. “Does Indirectness of Signal
    Production Reduce the Explosion-Supporting Potential in Chemotaxis–Haptotaxis
    Systems? Global Classical Solvability in a Class of Models for Cancer Invasion
    (and More).” <i>European Journal of Applied Mathematics</i> 32, no. 4 (2020):
    618–51. <a href="https://doi.org/10.1017/s0956792520000236">https://doi.org/10.1017/s0956792520000236</a>.'
  ieee: 'C. SURULESCU and M. Winkler, “Does indirectness of signal production reduce
    the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical
    solvability in a class of models for cancer invasion (and more),” <i>European
    Journal of Applied Mathematics</i>, vol. 32, no. 4, pp. 618–651, 2020, doi: <a
    href="https://doi.org/10.1017/s0956792520000236">10.1017/s0956792520000236</a>.'
  mla: SURULESCU, CHRISTINA, and Michael Winkler. “Does Indirectness of Signal Production
    Reduce the Explosion-Supporting Potential in Chemotaxis–Haptotaxis Systems? Global
    Classical Solvability in a Class of Models for Cancer Invasion (and More).” <i>European
    Journal of Applied Mathematics</i>, vol. 32, no. 4, Cambridge University Press
    (CUP), 2020, pp. 618–51, doi:<a href="https://doi.org/10.1017/s0956792520000236">10.1017/s0956792520000236</a>.
  short: C. SURULESCU, M. Winkler, European Journal of Applied Mathematics 32 (2020)
    618–651.
date_created: 2025-12-18T19:31:21Z
date_updated: 2025-12-18T20:06:05Z
doi: 10.1017/s0956792520000236
intvolume: '        32'
issue: '4'
language:
- iso: eng
page: 618-651
publication: European Journal of Applied Mathematics
publication_identifier:
  issn:
  - 0956-7925
  - 1469-4425
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: Does indirectness of signal production reduce the explosion-supporting potential
  in chemotaxis–haptotaxis systems? Global classical solvability in a class of models
  for cancer invasion (and more)
type: journal_article
user_id: '31496'
volume: 32
year: '2020'
...
---
_id: '63265'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>The Cauchy problem in <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\mathbb
    {R}}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mi>R</mml:mi>\r\n
    \                   </mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n
    \                 </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\ge 1$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    for the parabolic equation <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    u_t=u^p \\Delta u \\qquad \\qquad (\\star ) \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n
    \                         <mml:mrow>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>u</mml:mi>\r\n                              <mml:mi>t</mml:mi>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>=</mml:mo>\r\n
    \                           <mml:msup>\r\n                              <mml:mi>u</mml:mi>\r\n
    \                             <mml:mi>p</mml:mi>\r\n                            </mml:msup>\r\n
    \                           <mml:mi>Δ</mml:mi>\r\n                            <mml:mi>u</mml:mi>\r\n
    \                           <mml:mspace/>\r\n                            <mml:mspace/>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:mo>⋆</mml:mo>\r\n                              <mml:mo>)</mml:mo>\r\n
    \                           </mml:mrow>\r\n                          </mml:mrow>\r\n
    \                       </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>is
    considered in the strongly degenerate regime <jats:inline-formula><jats:alternatives><jats:tex-math>$$p\\ge
    1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>.
    The focus is firstly on the case of positive continuous and bounded initial data,
    in which it is known that a minimal positive classical solution exists, and that
    this solution satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    t^\\frac{1}{p}\\Vert u(\\cdot ,t)\\Vert _{L^\\infty ({\\mathbb {R}}^n)} \\rightarrow
    \\infty \\quad \\hbox {as } t\\rightarrow \\infty . \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n
    \                         <mml:mrow>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>t</mml:mi>\r\n                              <mml:mfrac>\r\n
    \                               <mml:mn>1</mml:mn>\r\n                                <mml:mi>p</mml:mi>\r\n
    \                             </mml:mfrac>\r\n                            </mml:msup>\r\n
    \                           <mml:msub>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>‖</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n
    \                               <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n
    \                                 <mml:mo>·</mml:mo>\r\n                                  <mml:mo>,</mml:mo>\r\n
    \                                 <mml:mi>t</mml:mi>\r\n                                  <mml:mo>)</mml:mo>\r\n
    \                               </mml:mrow>\r\n                                <mml:mo>‖</mml:mo>\r\n
    \                             </mml:mrow>\r\n                              <mml:mrow>\r\n
    \                               <mml:msup>\r\n                                  <mml:mi>L</mml:mi>\r\n
    \                                 <mml:mi>∞</mml:mi>\r\n                                </mml:msup>\r\n
    \                               <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n
    \                                 <mml:msup>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mi>R</mml:mi>\r\n                                    </mml:mrow>\r\n
    \                                   <mml:mi>n</mml:mi>\r\n                                  </mml:msup>\r\n
    \                                 <mml:mo>)</mml:mo>\r\n                                </mml:mrow>\r\n
    \                             </mml:mrow>\r\n                            </mml:msub>\r\n
    \                           <mml:mo>→</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n
    \                           <mml:mspace/>\r\n                            <mml:mtext>as</mml:mtext>\r\n
    \                           <mml:mspace/>\r\n                            <mml:mi>t</mml:mi>\r\n
    \                           <mml:mo>→</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n
    \                           <mml:mo>.</mml:mo>\r\n                          </mml:mrow>\r\n
    \                       </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>The
    first result of this study complements this by asserting that given any positive
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$f\\in C^0([0,\\infty
    ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>f</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n
    \                   <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msup>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mrow>\r\n                        <mml:mo>[</mml:mo>\r\n
    \                       <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n
    \                       <mml:mi>∞</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n
    \                     </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    fulfilling <jats:inline-formula><jats:alternatives><jats:tex-math>$$f(t)\\rightarrow
    +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>f</mml:mi>\r\n                    <mml:mo>(</mml:mo>\r\n
    \                   <mml:mi>t</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n
    \                   <mml:mo>→</mml:mo>\r\n                    <mml:mo>+</mml:mo>\r\n
    \                   <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    as <jats:inline-formula><jats:alternatives><jats:tex-math>$$t\\rightarrow \\infty
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>t</mml:mi>\r\n                    <mml:mo>→</mml:mo>\r\n
    \                   <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    one can find a positive nondecreasing function <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\phi
    \\in C^0([0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>ϕ</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n
    \                   <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msup>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mrow>\r\n                        <mml:mo>[</mml:mo>\r\n
    \                       <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n
    \                       <mml:mi>∞</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n
    \                     </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    such that whenever <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0\\in
    C^0({\\mathbb {R}}^n)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n
    \                   <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msup>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:msup>\r\n                        <mml:mrow>\r\n                          <mml:mi>R</mml:mi>\r\n
    \                       </mml:mrow>\r\n                        <mml:mi>n</mml:mi>\r\n
    \                     </mml:msup>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    is radially symmetric with <jats:inline-formula><jats:alternatives><jats:tex-math>$$0&lt;
    u_0 &lt; \\phi (|\\cdot |)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mn>0</mml:mn>\r\n                    <mml:mo>&lt;</mml:mo>\r\n
    \                   <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>&lt;</mml:mo>\r\n
    \                     <mml:mi>ϕ</mml:mi>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mo>|</mml:mo>\r\n                    </mml:mrow>\r\n
    \                   <mml:mo>·</mml:mo>\r\n                    <mml:mrow>\r\n                      <mml:mo>|</mml:mo>\r\n
    \                     <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    the corresponding minimal solution <jats:italic>u</jats:italic> satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\frac{t^\\frac{1}{p}\\Vert u(\\cdot ,t)\\Vert _{L^\\infty ({\\mathbb {R}}^n)}}{f(t)}
    \\rightarrow 0 \\quad \\hbox {as } t\\rightarrow \\infty . \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n
    \                         <mml:mrow>\r\n                            <mml:mfrac>\r\n
    \                             <mml:mrow>\r\n                                <mml:msup>\r\n
    \                                 <mml:mi>t</mml:mi>\r\n                                  <mml:mfrac>\r\n
    \                                   <mml:mn>1</mml:mn>\r\n                                    <mml:mi>p</mml:mi>\r\n
    \                                 </mml:mfrac>\r\n                                </mml:msup>\r\n
    \                               <mml:msub>\r\n                                  <mml:mrow>\r\n
    \                                   <mml:mo>‖</mml:mo>\r\n                                    <mml:mi>u</mml:mi>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n
    \                                     <mml:mo>·</mml:mo>\r\n                                      <mml:mo>,</mml:mo>\r\n
    \                                     <mml:mi>t</mml:mi>\r\n                                      <mml:mo>)</mml:mo>\r\n
    \                                   </mml:mrow>\r\n                                    <mml:mo>‖</mml:mo>\r\n
    \                                 </mml:mrow>\r\n                                  <mml:mrow>\r\n
    \                                   <mml:msup>\r\n                                      <mml:mi>L</mml:mi>\r\n
    \                                     <mml:mi>∞</mml:mi>\r\n                                    </mml:msup>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n
    \                                     <mml:msup>\r\n                                        <mml:mrow>\r\n
    \                                         <mml:mi>R</mml:mi>\r\n                                        </mml:mrow>\r\n
    \                                       <mml:mi>n</mml:mi>\r\n                                      </mml:msup>\r\n
    \                                     <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n
    \                                 </mml:mrow>\r\n                                </mml:msub>\r\n
    \                             </mml:mrow>\r\n                              <mml:mrow>\r\n
    \                               <mml:mi>f</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n
    \                               <mml:mi>t</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n
    \                             </mml:mrow>\r\n                            </mml:mfrac>\r\n
    \                           <mml:mo>→</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                           <mml:mspace/>\r\n                            <mml:mtext>as</mml:mtext>\r\n
    \                           <mml:mspace/>\r\n                            <mml:mi>t</mml:mi>\r\n
    \                           <mml:mo>→</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n
    \                           <mml:mo>.</mml:mo>\r\n                          </mml:mrow>\r\n
    \                       </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>Secondly,
    (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star $$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mo>⋆</mml:mo>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula>) is considered
    along with initial conditions involving nonnegative but not necessarily strictly
    positive bounded and continuous initial data <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msub>\r\n
    \                   <mml:mi>u</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                 </mml:msub>\r\n                </mml:math></jats:alternatives></jats:inline-formula>.
    It is shown that if the connected components of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\{u_0&gt;0\\}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mo>{</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n
    \                   <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                   <mml:mo>}</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    comply with a condition reflecting some uniform boundedness property, then a corresponding
    uniquely determined continuous weak solution to (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mo>⋆</mml:mo>\r\n                </mml:math></jats:alternatives></jats:inline-formula>)
    satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    0&lt; \\liminf _{t\\rightarrow \\infty } \\Big \\{ t^\\frac{1}{p} \\Vert u(\\cdot
    ,t)\\Vert _{L^\\infty ({\\mathbb {R}}^n)} \\Big \\} \\le \\limsup _{t\\rightarrow
    \\infty } \\Big \\{ t^\\frac{1}{p} \\Vert u(\\cdot ,t)\\Vert _{L^\\infty ({\\mathbb
    {R}}^n)} \\Big \\} &lt;\\infty . \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n
    \                       <mml:mtd>\r\n                          <mml:mrow>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                            <mml:mo>&lt;</mml:mo>\r\n
    \                           <mml:munder>\r\n                              <mml:mo>lim
    inf</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mi>t</mml:mi>\r\n
    \                               <mml:mo>→</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n
    \                             </mml:mrow>\r\n                            </mml:munder>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>{</mml:mo>\r\n
    \                           </mml:mrow>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>t</mml:mi>\r\n                              <mml:mfrac>\r\n
    \                               <mml:mn>1</mml:mn>\r\n                                <mml:mi>p</mml:mi>\r\n
    \                             </mml:mfrac>\r\n                            </mml:msup>\r\n
    \                           <mml:msub>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>‖</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n
    \                               <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n
    \                                 <mml:mo>·</mml:mo>\r\n                                  <mml:mo>,</mml:mo>\r\n
    \                                 <mml:mi>t</mml:mi>\r\n                                  <mml:mo>)</mml:mo>\r\n
    \                               </mml:mrow>\r\n                                <mml:mo>‖</mml:mo>\r\n
    \                             </mml:mrow>\r\n                              <mml:mrow>\r\n
    \                               <mml:msup>\r\n                                  <mml:mi>L</mml:mi>\r\n
    \                                 <mml:mi>∞</mml:mi>\r\n                                </mml:msup>\r\n
    \                               <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n
    \                                 <mml:msup>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mi>R</mml:mi>\r\n                                    </mml:mrow>\r\n
    \                                   <mml:mi>n</mml:mi>\r\n                                  </mml:msup>\r\n
    \                                 <mml:mo>)</mml:mo>\r\n                                </mml:mrow>\r\n
    \                             </mml:mrow>\r\n                            </mml:msub>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>}</mml:mo>\r\n
    \                           </mml:mrow>\r\n                            <mml:mo>≤</mml:mo>\r\n
    \                           <mml:munder>\r\n                              <mml:mo>lim
    sup</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mi>t</mml:mi>\r\n
    \                               <mml:mo>→</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n
    \                             </mml:mrow>\r\n                            </mml:munder>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>{</mml:mo>\r\n
    \                           </mml:mrow>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>t</mml:mi>\r\n                              <mml:mfrac>\r\n
    \                               <mml:mn>1</mml:mn>\r\n                                <mml:mi>p</mml:mi>\r\n
    \                             </mml:mfrac>\r\n                            </mml:msup>\r\n
    \                           <mml:msub>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>‖</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n
    \                               <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n
    \                                 <mml:mo>·</mml:mo>\r\n                                  <mml:mo>,</mml:mo>\r\n
    \                                 <mml:mi>t</mml:mi>\r\n                                  <mml:mo>)</mml:mo>\r\n
    \                               </mml:mrow>\r\n                                <mml:mo>‖</mml:mo>\r\n
    \                             </mml:mrow>\r\n                              <mml:mrow>\r\n
    \                               <mml:msup>\r\n                                  <mml:mi>L</mml:mi>\r\n
    \                                 <mml:mi>∞</mml:mi>\r\n                                </mml:msup>\r\n
    \                               <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n
    \                                 <mml:msup>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mi>R</mml:mi>\r\n                                    </mml:mrow>\r\n
    \                                   <mml:mi>n</mml:mi>\r\n                                  </mml:msup>\r\n
    \                                 <mml:mo>)</mml:mo>\r\n                                </mml:mrow>\r\n
    \                             </mml:mrow>\r\n                            </mml:msub>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>}</mml:mo>\r\n
    \                           </mml:mrow>\r\n                            <mml:mo>&lt;</mml:mo>\r\n
    \                           <mml:mi>∞</mml:mi>\r\n                            <mml:mo>.</mml:mo>\r\n
    \                         </mml:mrow>\r\n                        </mml:mtd>\r\n
    \                     </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:disp-formula>Under a somewhat
    complementary hypothesis, particularly fulfilled if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\{u_0&gt;0\\}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mo>{</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n
    \                   <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                   <mml:mo>}</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    contains components with arbitrarily small principal eigenvalues of the associated
    Dirichlet Laplacian, it is finally seen that (0.1) continues to hold also for
    such not everywhere positive weak solutions.</jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Approaching Critical Decay in a Strongly Degenerate Parabolic Equation.
    <i>Journal of Dynamics and Differential Equations</i>. 2020;36(S1):3-23. doi:<a
    href="https://doi.org/10.1007/s10884-020-09892-x">10.1007/s10884-020-09892-x</a>
  apa: Winkler, M. (2020). Approaching Critical Decay in a Strongly Degenerate Parabolic
    Equation. <i>Journal of Dynamics and Differential Equations</i>, <i>36</i>(S1),
    3–23. <a href="https://doi.org/10.1007/s10884-020-09892-x">https://doi.org/10.1007/s10884-020-09892-x</a>
  bibtex: '@article{Winkler_2020, title={Approaching Critical Decay in a Strongly
    Degenerate Parabolic Equation}, volume={36}, DOI={<a href="https://doi.org/10.1007/s10884-020-09892-x">10.1007/s10884-020-09892-x</a>},
    number={S1}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer
    Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={3–23}
    }'
  chicago: 'Winkler, Michael. “Approaching Critical Decay in a Strongly Degenerate
    Parabolic Equation.” <i>Journal of Dynamics and Differential Equations</i> 36,
    no. S1 (2020): 3–23. <a href="https://doi.org/10.1007/s10884-020-09892-x">https://doi.org/10.1007/s10884-020-09892-x</a>.'
  ieee: 'M. Winkler, “Approaching Critical Decay in a Strongly Degenerate Parabolic
    Equation,” <i>Journal of Dynamics and Differential Equations</i>, vol. 36, no.
    S1, pp. 3–23, 2020, doi: <a href="https://doi.org/10.1007/s10884-020-09892-x">10.1007/s10884-020-09892-x</a>.'
  mla: Winkler, Michael. “Approaching Critical Decay in a Strongly Degenerate Parabolic
    Equation.” <i>Journal of Dynamics and Differential Equations</i>, vol. 36, no.
    S1, Springer Science and Business Media LLC, 2020, pp. 3–23, doi:<a href="https://doi.org/10.1007/s10884-020-09892-x">10.1007/s10884-020-09892-x</a>.
  short: M. Winkler, Journal of Dynamics and Differential Equations 36 (2020) 3–23.
date_created: 2025-12-18T19:10:01Z
date_updated: 2025-12-18T20:10:07Z
doi: 10.1007/s10884-020-09892-x
intvolume: '        36'
issue: S1
language:
- iso: eng
page: 3-23
publication: Journal of Dynamics and Differential Equations
publication_identifier:
  issn:
  - 1040-7294
  - 1572-9222
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Approaching Critical Decay in a Strongly Degenerate Parabolic Equation
type: journal_article
user_id: '31496'
volume: 36
year: '2020'
...
---
_id: '19313'
abstract:
- lang: eng
  text: The increasingly simulation-driven design process of ultrasonic transducers
    requires several reliable parameters for the description of the material behaviour.
    Exact results can only be achieved when a single specimen is used in the identification
    process, which typically is prone to the problem of low sensitivities to certain
    material parameters and thus high uncertainties. Therefore, a custom electrode
    topology for increased sensitivity is proposed for a piezoceramic disc. The thereupon
    conducted measurements of the electric impedance can be used as a starting point
    for an inverse approach where an equivalent simulation model is used to identify
    fitting material parameters. An optimisation strategy based on a preliminary sensitivity
    analysis is presented that leads to a good agreement between measurement and simulation.
    Furthermore, the proposed measurement procedure is able to evaluate the quality
    of the simulation model. Hence, different frequency-dependent damping models are
    presented and evaluated.
author:
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  ama: Feldmann N, Schulze V, Claes L, Jurgelucks B, Walther A, Henning B. Inverse
    piezoelectric material parameter characterization using a single disc-shaped specimen.
    <i>tm - Technisches Messen</i>. Published online 2020:50-55. doi:<a href="https://doi.org/10.1515/teme-2020-0012">10.1515/teme-2020-0012</a>
  apa: Feldmann, N., Schulze, V., Claes, L., Jurgelucks, B., Walther, A., &#38; Henning,
    B. (2020). Inverse piezoelectric material parameter characterization using a single
    disc-shaped specimen. <i>Tm - Technisches Messen</i>, 50–55. <a href="https://doi.org/10.1515/teme-2020-0012">https://doi.org/10.1515/teme-2020-0012</a>
  bibtex: '@article{Feldmann_Schulze_Claes_Jurgelucks_Walther_Henning_2020, title={Inverse
    piezoelectric material parameter characterization using a single disc-shaped specimen},
    DOI={<a href="https://doi.org/10.1515/teme-2020-0012">10.1515/teme-2020-0012</a>},
    journal={tm - Technisches Messen}, author={Feldmann, Nadine and Schulze, Veronika
    and Claes, Leander and Jurgelucks, Benjamin and Walther, Andrea and Henning, Bernd},
    year={2020}, pages={50–55} }'
  chicago: Feldmann, Nadine, Veronika Schulze, Leander Claes, Benjamin Jurgelucks,
    Andrea Walther, and Bernd Henning. “Inverse Piezoelectric Material Parameter Characterization
    Using a Single Disc-Shaped Specimen.” <i>Tm - Technisches Messen</i>, 2020, 50–55.
    <a href="https://doi.org/10.1515/teme-2020-0012">https://doi.org/10.1515/teme-2020-0012</a>.
  ieee: 'N. Feldmann, V. Schulze, L. Claes, B. Jurgelucks, A. Walther, and B. Henning,
    “Inverse piezoelectric material parameter characterization using a single disc-shaped
    specimen,” <i>tm - Technisches Messen</i>, pp. 50–55, 2020, doi: <a href="https://doi.org/10.1515/teme-2020-0012">10.1515/teme-2020-0012</a>.'
  mla: Feldmann, Nadine, et al. “Inverse Piezoelectric Material Parameter Characterization
    Using a Single Disc-Shaped Specimen.” <i>Tm - Technisches Messen</i>, 2020, pp.
    50–55, doi:<a href="https://doi.org/10.1515/teme-2020-0012">10.1515/teme-2020-0012</a>.
  short: N. Feldmann, V. Schulze, L. Claes, B. Jurgelucks, A. Walther, B. Henning,
    Tm - Technisches Messen (2020) 50–55.
date_created: 2020-09-11T11:57:50Z
date_updated: 2026-01-05T07:53:10Z
department:
- _id: '49'
doi: 10.1515/teme-2020-0012
language:
- iso: eng
page: 50-55
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publication: tm - Technisches Messen
publication_identifier:
  issn:
  - 2196-7113
  - 0171-8096
publication_status: published
quality_controlled: '1'
status: public
title: Inverse piezoelectric material parameter characterization using a single disc-shaped
  specimen
type: journal_article
user_id: '11829'
year: '2020'
...
---
_id: '63038'
author:
- first_name: Masiar
  full_name: Sistani, Masiar
  last_name: Sistani
- first_name: Maximilian G.
  full_name: Bartmann, Maximilian G.
  last_name: Bartmann
- first_name: Nicholas Alexander
  full_name: Güsken, Nicholas Alexander
  id: '112030'
  last_name: Güsken
  orcid: 0000-0002-4816-0666
- first_name: Rupert F.
  full_name: Oulton, Rupert F.
  last_name: Oulton
- first_name: Hamid
  full_name: Keshmiri, Hamid
  last_name: Keshmiri
- first_name: Minh Anh
  full_name: Luong, Minh Anh
  last_name: Luong
- first_name: Zahra Sadre
  full_name: Momtaz, Zahra Sadre
  last_name: Momtaz
- first_name: Martien I.
  full_name: Den Hertog, Martien I.
  last_name: Den Hertog
- first_name: Alois
  full_name: Lugstein, Alois
  last_name: Lugstein
citation:
  ama: Sistani M, Bartmann MG, Güsken NA, et al. Plasmon-Driven Hot Electron Transfer
    at Atomically Sharp Metal–Semiconductor Nanojunctions. <i>ACS Photonics</i>. 2020;7(7):1642-1648.
    doi:<a href="https://doi.org/10.1021/acsphotonics.0c00557">10.1021/acsphotonics.0c00557</a>
  apa: Sistani, M., Bartmann, M. G., Güsken, N. A., Oulton, R. F., Keshmiri, H., Luong,
    M. A., Momtaz, Z. S., Den Hertog, M. I., &#38; Lugstein, A. (2020). Plasmon-Driven
    Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions. <i>ACS
    Photonics</i>, <i>7</i>(7), 1642–1648. <a href="https://doi.org/10.1021/acsphotonics.0c00557">https://doi.org/10.1021/acsphotonics.0c00557</a>
  bibtex: '@article{Sistani_Bartmann_Güsken_Oulton_Keshmiri_Luong_Momtaz_Den Hertog_Lugstein_2020,
    title={Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor
    Nanojunctions}, volume={7}, DOI={<a href="https://doi.org/10.1021/acsphotonics.0c00557">10.1021/acsphotonics.0c00557</a>},
    number={7}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)},
    author={Sistani, Masiar and Bartmann, Maximilian G. and Güsken, Nicholas Alexander
    and Oulton, Rupert F. and Keshmiri, Hamid and Luong, Minh Anh and Momtaz, Zahra
    Sadre and Den Hertog, Martien I. and Lugstein, Alois}, year={2020}, pages={1642–1648}
    }'
  chicago: 'Sistani, Masiar, Maximilian G. Bartmann, Nicholas Alexander Güsken, Rupert
    F. Oulton, Hamid Keshmiri, Minh Anh Luong, Zahra Sadre Momtaz, Martien I. Den
    Hertog, and Alois Lugstein. “Plasmon-Driven Hot Electron Transfer at Atomically
    Sharp Metal–Semiconductor Nanojunctions.” <i>ACS Photonics</i> 7, no. 7 (2020):
    1642–48. <a href="https://doi.org/10.1021/acsphotonics.0c00557">https://doi.org/10.1021/acsphotonics.0c00557</a>.'
  ieee: 'M. Sistani <i>et al.</i>, “Plasmon-Driven Hot Electron Transfer at Atomically
    Sharp Metal–Semiconductor Nanojunctions,” <i>ACS Photonics</i>, vol. 7, no. 7,
    pp. 1642–1648, 2020, doi: <a href="https://doi.org/10.1021/acsphotonics.0c00557">10.1021/acsphotonics.0c00557</a>.'
  mla: Sistani, Masiar, et al. “Plasmon-Driven Hot Electron Transfer at Atomically
    Sharp Metal–Semiconductor Nanojunctions.” <i>ACS Photonics</i>, vol. 7, no. 7,
    American Chemical Society (ACS), 2020, pp. 1642–48, doi:<a href="https://doi.org/10.1021/acsphotonics.0c00557">10.1021/acsphotonics.0c00557</a>.
  short: M. Sistani, M.G. Bartmann, N.A. Güsken, R.F. Oulton, H. Keshmiri, M.A. Luong,
    Z.S. Momtaz, M.I. Den Hertog, A. Lugstein, ACS Photonics 7 (2020) 1642–1648.
date_created: 2025-12-11T20:31:21Z
date_updated: 2026-01-08T16:08:03Z
department:
- _id: '623'
- _id: '15'
- _id: '230'
doi: 10.1021/acsphotonics.0c00557
intvolume: '         7'
issue: '7'
language:
- iso: eng
page: 1642-1648
publication: ACS Photonics
publication_identifier:
  issn:
  - 2330-4022
  - 2330-4022
publication_status: published
publisher: American Chemical Society (ACS)
status: public
title: Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor
  Nanojunctions
type: journal_article
user_id: '112030'
volume: 7
year: '2020'
...
---
_id: '63042'
author:
- first_name: Masiar
  full_name: Sistani, Masiar
  last_name: Sistani
- first_name: Maximilian G.
  full_name: Bartmann, Maximilian G.
  last_name: Bartmann
- first_name: Nicholas Alexander
  full_name: Güsken, Nicholas Alexander
  id: '112030'
  last_name: Güsken
  orcid: 0000-0002-4816-0666
- first_name: Rupert F.
  full_name: Oulton, Rupert F.
  last_name: Oulton
- first_name: Hamid
  full_name: Keshmiri, Hamid
  last_name: Keshmiri
- first_name: Minh Anh
  full_name: Luong, Minh Anh
  last_name: Luong
- first_name: Eric
  full_name: Robin, Eric
  last_name: Robin
- first_name: Martien I.
  full_name: den Hertog, Martien I.
  last_name: den Hertog
- first_name: Alois
  full_name: Lugstein, Alois
  last_name: Lugstein
citation:
  ama: Sistani M, Bartmann MG, Güsken NA, et al. Stimulated Raman Scattering in Ge
    Nanowires. <i>The Journal of Physical Chemistry C</i>. 2020;124(25):13872-13877.
    doi:<a href="https://doi.org/10.1021/acs.jpcc.0c02602">10.1021/acs.jpcc.0c02602</a>
  apa: Sistani, M., Bartmann, M. G., Güsken, N. A., Oulton, R. F., Keshmiri, H., Luong,
    M. A., Robin, E., den Hertog, M. I., &#38; Lugstein, A. (2020). Stimulated Raman
    Scattering in Ge Nanowires. <i>The Journal of Physical Chemistry C</i>, <i>124</i>(25),
    13872–13877. <a href="https://doi.org/10.1021/acs.jpcc.0c02602">https://doi.org/10.1021/acs.jpcc.0c02602</a>
  bibtex: '@article{Sistani_Bartmann_Güsken_Oulton_Keshmiri_Luong_Robin_den Hertog_Lugstein_2020,
    title={Stimulated Raman Scattering in Ge Nanowires}, volume={124}, DOI={<a href="https://doi.org/10.1021/acs.jpcc.0c02602">10.1021/acs.jpcc.0c02602</a>},
    number={25}, journal={The Journal of Physical Chemistry C}, publisher={American
    Chemical Society (ACS)}, author={Sistani, Masiar and Bartmann, Maximilian G. and
    Güsken, Nicholas Alexander and Oulton, Rupert F. and Keshmiri, Hamid and Luong,
    Minh Anh and Robin, Eric and den Hertog, Martien I. and Lugstein, Alois}, year={2020},
    pages={13872–13877} }'
  chicago: 'Sistani, Masiar, Maximilian G. Bartmann, Nicholas Alexander Güsken, Rupert
    F. Oulton, Hamid Keshmiri, Minh Anh Luong, Eric Robin, Martien I. den Hertog,
    and Alois Lugstein. “Stimulated Raman Scattering in Ge Nanowires.” <i>The Journal
    of Physical Chemistry C</i> 124, no. 25 (2020): 13872–77. <a href="https://doi.org/10.1021/acs.jpcc.0c02602">https://doi.org/10.1021/acs.jpcc.0c02602</a>.'
  ieee: 'M. Sistani <i>et al.</i>, “Stimulated Raman Scattering in Ge Nanowires,”
    <i>The Journal of Physical Chemistry C</i>, vol. 124, no. 25, pp. 13872–13877,
    2020, doi: <a href="https://doi.org/10.1021/acs.jpcc.0c02602">10.1021/acs.jpcc.0c02602</a>.'
  mla: Sistani, Masiar, et al. “Stimulated Raman Scattering in Ge Nanowires.” <i>The
    Journal of Physical Chemistry C</i>, vol. 124, no. 25, American Chemical Society
    (ACS), 2020, pp. 13872–77, doi:<a href="https://doi.org/10.1021/acs.jpcc.0c02602">10.1021/acs.jpcc.0c02602</a>.
  short: M. Sistani, M.G. Bartmann, N.A. Güsken, R.F. Oulton, H. Keshmiri, M.A. Luong,
    E. Robin, M.I. den Hertog, A. Lugstein, The Journal of Physical Chemistry C 124
    (2020) 13872–13877.
date_created: 2025-12-11T20:36:32Z
date_updated: 2026-01-08T16:08:10Z
department:
- _id: '623'
- _id: '15'
- _id: '230'
doi: 10.1021/acs.jpcc.0c02602
intvolume: '       124'
issue: '25'
language:
- iso: eng
page: 13872-13877
publication: The Journal of Physical Chemistry C
publication_identifier:
  issn:
  - 1932-7447
  - 1932-7455
publication_status: published
publisher: American Chemical Society (ACS)
status: public
title: Stimulated Raman Scattering in Ge Nanowires
type: journal_article
user_id: '112030'
volume: 124
year: '2020'
...
---
_id: '57114'
author:
- first_name: Larissa Carolin
  full_name: Jagdschian, Larissa Carolin
  id: '105606'
  last_name: Jagdschian
citation:
  ama: Jagdschian LC. Erinnerungen als Lebensgeschichte. Zur ersten Biografie über
    Judith Kerr. <i>kjl&#38;m</i>. 2020;72(2):58-64.
  apa: Jagdschian, L. C. (2020). Erinnerungen als Lebensgeschichte. Zur ersten Biografie
    über Judith Kerr. <i>Kjl&#38;m</i>, <i>72</i>(2), 58–64.
  bibtex: '@article{Jagdschian_2020, title={Erinnerungen als Lebensgeschichte. Zur
    ersten Biografie über Judith Kerr}, volume={72}, number={2}, journal={kjl&#38;m},
    author={Jagdschian, Larissa Carolin}, year={2020}, pages={58–64} }'
  chicago: 'Jagdschian, Larissa Carolin. “Erinnerungen Als Lebensgeschichte. Zur Ersten
    Biografie Über Judith Kerr.” <i>Kjl&#38;m</i> 72, no. 2 (2020): 58–64.'
  ieee: L. C. Jagdschian, “Erinnerungen als Lebensgeschichte. Zur ersten Biografie
    über Judith Kerr,” <i>kjl&#38;m</i>, vol. 72, no. 2, pp. 58–64, 2020.
  mla: Jagdschian, Larissa Carolin. “Erinnerungen Als Lebensgeschichte. Zur Ersten
    Biografie Über Judith Kerr.” <i>Kjl&#38;m</i>, vol. 72, no. 2, 2020, pp. 58–64.
  short: L.C. Jagdschian, Kjl&#38;m 72 (2020) 58–64.
date_created: 2024-11-15T15:27:56Z
date_updated: 2024-11-15T15:28:07Z
intvolume: '        72'
issue: '2'
language:
- iso: eng
page: 58-64
publication: kjl&m
status: public
title: Erinnerungen als Lebensgeschichte. Zur ersten Biografie über Judith Kerr
type: journal_article
user_id: '105606'
volume: 72
year: '2020'
...
---
_id: '57074'
author:
- first_name: Britt-Marie
  full_name: Schuster, Britt-Marie
  id: '17386'
  last_name: Schuster
- first_name: Frauke
  full_name: Thielert, Frauke
  last_name: Thielert
- first_name: Susanne
  full_name: Haaf, Susanne
  last_name: Haaf
- first_name: Christopher
  full_name: Georgi, Christopher
  id: '78730'
  last_name: Georgi
citation:
  ama: Schuster B-M, Thielert F, Haaf S, Georgi C. <i>Merkmale registrieren oder textuelle
    Phänomene identifizieren? Zur Vereinbarkeit von automatischer und manueller Textsortenanalyse.
    Poster im Rahmen der DHd-Jahrestagung “Spielräume”, März 2020, Paderborn</i>.;
    2020.
  apa: Schuster, B.-M., Thielert, F., Haaf, S., &#38; Georgi, C. (2020). <i>Merkmale
    registrieren oder textuelle Phänomene identifizieren? Zur Vereinbarkeit von automatischer
    und manueller Textsortenanalyse. Poster im Rahmen der DHd-Jahrestagung “Spielräume”,
    März 2020, Paderborn</i>.
  bibtex: '@book{Schuster_Thielert_Haaf_Georgi_2020, title={Merkmale registrieren
    oder textuelle Phänomene identifizieren? Zur Vereinbarkeit von automatischer und
    manueller Textsortenanalyse. Poster im Rahmen der DHd-Jahrestagung “Spielräume”,
    März 2020, Paderborn}, author={Schuster, Britt-Marie and Thielert, Frauke and
    Haaf, Susanne and Georgi, Christopher}, year={2020} }'
  chicago: Schuster, Britt-Marie, Frauke Thielert, Susanne Haaf, and Christopher Georgi.
    <i>Merkmale registrieren oder textuelle Phänomene identifizieren? Zur Vereinbarkeit
    von automatischer und manueller Textsortenanalyse. Poster im Rahmen der DHd-Jahrestagung
    “Spielräume”, März 2020, Paderborn</i>, 2020.
  ieee: B.-M. Schuster, F. Thielert, S. Haaf, and C. Georgi, <i>Merkmale registrieren
    oder textuelle Phänomene identifizieren? Zur Vereinbarkeit von automatischer und
    manueller Textsortenanalyse. Poster im Rahmen der DHd-Jahrestagung “Spielräume”,
    März 2020, Paderborn</i>. 2020.
  mla: Schuster, Britt-Marie, et al. <i>Merkmale registrieren oder textuelle Phänomene
    identifizieren? Zur Vereinbarkeit von automatischer und manueller Textsortenanalyse.
    Poster im Rahmen der DHd-Jahrestagung “Spielräume”, März 2020, Paderborn</i>.
    2020.
  short: B.-M. Schuster, F. Thielert, S. Haaf, C. Georgi, Merkmale registrieren oder
    textuelle Phänomene identifizieren? Zur Vereinbarkeit von automatischer und manueller
    Textsortenanalyse. Poster im Rahmen der DHd-Jahrestagung “Spielräume”, März 2020,
    Paderborn, 2020.
date_created: 2024-11-13T16:03:12Z
date_updated: 2024-11-13T16:05:06Z
department:
- _id: '745'
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://www.uni-paderborn.de/fileadmin/tevo/images_and_files/T.Evo_Abstract_DHd_2020_Spielraeume.pdf
oa: '1'
project:
- _id: '797'
  name: 't.evo – Die Evolution von komplexen Textmustern: Entwicklung und Anwendung
    eines korpuslinguistischen Analyseverfahrens zur Erfassung der Mehrdimensionalität
    des Textmusterwandels'
publication_status: published
related_material:
  link:
  - relation: poster
    url: https://www.uni-paderborn.de/fileadmin/tevo/images_and_files/Poster_DHD_A0.pdf
status: public
title: Merkmale registrieren oder textuelle Phänomene identifizieren? Zur Vereinbarkeit
  von automatischer und manueller Textsortenanalyse. Poster im Rahmen der DHd-Jahrestagung
  "Spielräume", März 2020, Paderborn
type: misc
user_id: '78730'
year: '2020'
...
---
_id: '20695'
author:
- first_name: Christoph
  full_name: Boeddeker, Christoph
  id: '40767'
  last_name: Boeddeker
- first_name: Tomohiro
  full_name: Nakatani, Tomohiro
  last_name: Nakatani
- first_name: Keisuke
  full_name: Kinoshita, Keisuke
  last_name: Kinoshita
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
citation:
  ama: 'Boeddeker C, Nakatani T, Kinoshita K, Haeb-Umbach R. Jointly Optimal Dereverberation
    and Beamforming. In: <i>ICASSP 2020 - 2020 IEEE International Conference on Acoustics,
    Speech and Signal Processing (ICASSP)</i>. ; 2020. doi:<a href="https://doi.org/10.1109/icassp40776.2020.9054393">10.1109/icassp40776.2020.9054393</a>'
  apa: Boeddeker, C., Nakatani, T., Kinoshita, K., &#38; Haeb-Umbach, R. (2020). Jointly
    Optimal Dereverberation and Beamforming. <i>ICASSP 2020 - 2020 IEEE International
    Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. <a href="https://doi.org/10.1109/icassp40776.2020.9054393">https://doi.org/10.1109/icassp40776.2020.9054393</a>
  bibtex: '@inproceedings{Boeddeker_Nakatani_Kinoshita_Haeb-Umbach_2020, title={Jointly
    Optimal Dereverberation and Beamforming}, DOI={<a href="https://doi.org/10.1109/icassp40776.2020.9054393">10.1109/icassp40776.2020.9054393</a>},
    booktitle={ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech
    and Signal Processing (ICASSP)}, author={Boeddeker, Christoph and Nakatani, Tomohiro
    and Kinoshita, Keisuke and Haeb-Umbach, Reinhold}, year={2020} }'
  chicago: Boeddeker, Christoph, Tomohiro Nakatani, Keisuke Kinoshita, and Reinhold
    Haeb-Umbach. “Jointly Optimal Dereverberation and Beamforming.” In <i>ICASSP 2020
    - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP)</i>, 2020. <a href="https://doi.org/10.1109/icassp40776.2020.9054393">https://doi.org/10.1109/icassp40776.2020.9054393</a>.
  ieee: 'C. Boeddeker, T. Nakatani, K. Kinoshita, and R. Haeb-Umbach, “Jointly Optimal
    Dereverberation and Beamforming,” 2020, doi: <a href="https://doi.org/10.1109/icassp40776.2020.9054393">10.1109/icassp40776.2020.9054393</a>.'
  mla: Boeddeker, Christoph, et al. “Jointly Optimal Dereverberation and Beamforming.”
    <i>ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal
    Processing (ICASSP)</i>, 2020, doi:<a href="https://doi.org/10.1109/icassp40776.2020.9054393">10.1109/icassp40776.2020.9054393</a>.
  short: 'C. Boeddeker, T. Nakatani, K. Kinoshita, R. Haeb-Umbach, in: ICASSP 2020
    - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP), 2020.'
date_created: 2020-12-11T12:28:49Z
date_updated: 2024-11-14T09:17:32Z
ddc:
- '000'
department:
- _id: '54'
doi: 10.1109/icassp40776.2020.9054393
file:
- access_level: open_access
  content_type: application/pdf
  creator: cbj
  date_created: 2020-12-11T12:32:44Z
  date_updated: 2020-12-11T12:32:44Z
  file_id: '20698'
  file_name: convBF.pdf
  file_size: 200127
  relation: main_file
file_date_updated: 2020-12-11T12:32:44Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech
  and Signal Processing (ICASSP)
publication_identifier:
  isbn:
  - '9781509066315'
publication_status: published
status: public
title: Jointly Optimal Dereverberation and Beamforming
type: conference
user_id: '40767'
year: '2020'
...
---
_id: '57078'
author:
- first_name: Britt-Marie
  full_name: Schuster, Britt-Marie
  id: '17386'
  last_name: Schuster
citation:
  ama: Schuster B-M. Sprachliche Muster – textliche Muster. Zu einem Wechselverhältnis
    und seiner Dynamik. Vortrag im Rahmen des Trier Center for Language and Communication
    - Lectures in Linguistics an der Universität Trier, 05. Februar 2020.
  apa: Schuster, B.-M. (n.d.). <i>Sprachliche Muster – textliche Muster. Zu einem
    Wechselverhältnis und seiner Dynamik. Vortrag im Rahmen des Trier Center for Language
    and Communication - Lectures in Linguistics an der Universität Trier, 05. Februar
    2020</i>.
  bibtex: '@inproceedings{Schuster, title={Sprachliche Muster – textliche Muster.
    Zu einem Wechselverhältnis und seiner Dynamik. Vortrag im Rahmen des Trier Center
    for Language and Communication - Lectures in Linguistics an der Universität Trier,
    05. Februar 2020}, author={Schuster, Britt-Marie} }'
  chicago: Schuster, Britt-Marie. “Sprachliche Muster – textliche Muster. Zu einem
    Wechselverhältnis und seiner Dynamik. Vortrag im Rahmen des Trier Center for Language
    and Communication - Lectures in Linguistics an der Universität Trier, 05. Februar
    2020,” n.d.
  ieee: B.-M. Schuster, “Sprachliche Muster – textliche Muster. Zu einem Wechselverhältnis
    und seiner Dynamik. Vortrag im Rahmen des Trier Center for Language and Communication
    - Lectures in Linguistics an der Universität Trier, 05. Februar 2020.”
  mla: Schuster, Britt-Marie. <i>Sprachliche Muster – textliche Muster. Zu einem Wechselverhältnis
    und seiner Dynamik. Vortrag im Rahmen des Trier Center for Language and Communication
    - Lectures in Linguistics an der Universität Trier, 05. Februar 2020</i>.
  short: 'B.-M. Schuster, in: n.d.'
date_created: 2024-11-13T16:15:01Z
date_updated: 2024-11-14T10:50:14Z
department:
- _id: '745'
language:
- iso: ger
project:
- _id: '797'
  name: 't.evo – Die Evolution von komplexen Textmustern: Entwicklung und Anwendung
    eines korpuslinguistischen Analyseverfahrens zur Erfassung der Mehrdimensionalität
    des Textmusterwandels'
publication_status: unpublished
status: public
title: Sprachliche Muster – textliche Muster. Zu einem Wechselverhältnis und seiner
  Dynamik. Vortrag im Rahmen des Trier Center for Language and Communication - Lectures
  in Linguistics an der Universität Trier, 05. Februar 2020
type: conference
user_id: '78730'
year: '2020'
...
---
_id: '55071'
author:
- first_name: Daniel Vollmers
  full_name: Rricha Jalota, Nikit Srivastava, Daniel Vollmers
  last_name: Rricha Jalota, Nikit Srivastava
citation:
  ama: 'Rricha Jalota, Nikit Srivastava DV. Finding Datasets in Publications: The
    University of Paderborn Approach. In: <i>Rich Search and Discovery for Research
    Datasets (Https://Study.Sagepub.Com/Richcontext)</i>. Sage Publishing; 2020:129–141.'
  apa: 'Rricha Jalota, Nikit Srivastava, D. V. (2020). Finding Datasets in Publications:
    The University of Paderborn Approach. In <i>Rich Search and Discovery for Research
    Datasets (https://study.sagepub.com/richcontext)</i> (pp. 129–141). Sage Publishing.'
  bibtex: '@inbook{Rricha Jalota, Nikit Srivastava_2020, title={Finding Datasets in
    Publications: The University of Paderborn Approach}, booktitle={Rich Search and
    Discovery for Research Datasets (https://study.sagepub.com/richcontext)}, publisher={Sage
    Publishing}, author={Rricha Jalota, Nikit Srivastava, Daniel Vollmers}, year={2020},
    pages={129–141} }'
  chicago: 'Rricha Jalota, Nikit Srivastava, Daniel Vollmers. “Finding Datasets in
    Publications: The University of Paderborn Approach.” In <i>Rich Search and Discovery
    for Research Datasets (Https://Study.Sagepub.Com/Richcontext)</i>, 129–141. Sage
    Publishing, 2020.'
  ieee: 'D. V. Rricha Jalota, Nikit Srivastava, “Finding Datasets in Publications:
    The University of Paderborn Approach,” in <i>Rich Search and Discovery for Research
    Datasets (https://study.sagepub.com/richcontext)</i>, Sage Publishing, 2020, pp.
    129–141.'
  mla: 'Rricha Jalota, Nikit Srivastava, Daniel Vollmers. “Finding Datasets in Publications:
    The University of Paderborn Approach.” <i>Rich Search and Discovery for Research
    Datasets (Https://Study.Sagepub.Com/Richcontext)</i>, Sage Publishing, 2020, pp.
    129–141.'
  short: 'D.V. Rricha Jalota, Nikit Srivastava, in: Rich Search and Discovery for
    Research Datasets (Https://Study.Sagepub.Com/Richcontext), Sage Publishing, 2020,
    pp. 129–141.'
date_created: 2024-07-04T11:59:39Z
date_updated: 2024-11-19T14:58:15Z
page: 129–141
publication: Rich Search and Discovery for Research Datasets (https://study.sagepub.com/richcontext)
publisher: Sage Publishing
status: public
title: 'Finding Datasets in Publications: The University of Paderborn Approach'
type: book_chapter
user_id: '70843'
year: '2020'
...
---
_id: '56765'
author:
- first_name: Claudia Dorit
  full_name: Bergmann, Claudia Dorit
  last_name: Bergmann
citation:
  ama: 'Bergmann CD. Multifaceted Relationships: Ritual Objects and Ritual Agents
    in the Hebrew Bible and in Cognate Literature. In: Stürzebecher M, Bergmann CD,
    eds. <i>Ritual Objects in Ritual Contexts</i>. Vol 6. Erfurter Schriften zur jüdischen
    Geschichte . Bussert &#38; Stadeler; 2020:174-198.'
  apa: 'Bergmann, C. D. (2020). Multifaceted Relationships: Ritual Objects and Ritual
    Agents in the Hebrew Bible and in Cognate Literature. In M. Stürzebecher &#38;
    C. D. Bergmann (Eds.), <i>Ritual Objects in Ritual Contexts</i> (Vol. 6, pp. 174–198).
    Bussert &#38; Stadeler.'
  bibtex: '@inbook{Bergmann_2020, place={Jena}, series={Erfurter Schriften zur jüdischen
    Geschichte }, title={Multifaceted Relationships: Ritual Objects and Ritual Agents
    in the Hebrew Bible and in Cognate Literature}, volume={6}, booktitle={Ritual
    Objects in Ritual Contexts}, publisher={Bussert &#38; Stadeler}, author={Bergmann,
    Claudia Dorit}, editor={Stürzebecher, Maria  and Bergmann, Claudia D.}, year={2020},
    pages={174–198}, collection={Erfurter Schriften zur jüdischen Geschichte } }'
  chicago: 'Bergmann, Claudia Dorit. “Multifaceted Relationships: Ritual Objects and
    Ritual Agents in the Hebrew Bible and in Cognate Literature.” In <i>Ritual Objects
    in Ritual Contexts</i>, edited by Maria  Stürzebecher and Claudia D. Bergmann,
    6:174–98. Erfurter Schriften Zur Jüdischen Geschichte . Jena: Bussert &#38; Stadeler,
    2020.'
  ieee: 'C. D. Bergmann, “Multifaceted Relationships: Ritual Objects and Ritual Agents
    in the Hebrew Bible and in Cognate Literature,” in <i>Ritual Objects in Ritual
    Contexts</i>, vol. 6, M. Stürzebecher and C. D. Bergmann, Eds. Jena: Bussert &#38;
    Stadeler, 2020, pp. 174–198.'
  mla: 'Bergmann, Claudia Dorit. “Multifaceted Relationships: Ritual Objects and Ritual
    Agents in the Hebrew Bible and in Cognate Literature.” <i>Ritual Objects in Ritual
    Contexts</i>, edited by Maria  Stürzebecher and Claudia D. Bergmann, vol. 6, Bussert
    &#38; Stadeler, 2020, pp. 174–98.'
  short: 'C.D. Bergmann, in: M. Stürzebecher, C.D. Bergmann (Eds.), Ritual Objects
    in Ritual Contexts, Bussert &#38; Stadeler, Jena, 2020, pp. 174–198.'
date_created: 2024-10-27T09:06:21Z
date_updated: 2024-11-20T16:18:55Z
editor:
- first_name: 'Maria '
  full_name: 'Stürzebecher, Maria '
  last_name: Stürzebecher
- first_name: Claudia D.
  full_name: Bergmann, Claudia D.
  last_name: Bergmann
intvolume: '         6'
language:
- iso: eng
page: 174-198
place: Jena
publication: Ritual Objects in Ritual Contexts
publisher: Bussert & Stadeler
series_title: 'Erfurter Schriften zur jüdischen Geschichte '
status: public
title: 'Multifaceted Relationships: Ritual Objects and Ritual Agents in the Hebrew
  Bible and in Cognate Literature'
type: book_chapter
user_id: '94584'
volume: 6
year: '2020'
...
---
_id: '56856'
author:
- first_name: Claudia Dorit
  full_name: Bergmann, Claudia Dorit
  id: '94584'
  last_name: Bergmann
citation:
  ama: 'Bergmann CD. Mothers of a Nation: How Motherhood and Religion Intermingle
    in the Hebrew Bible. <i>Motherhood(s) in Religions: Religionification of Motherhood
    and Mothers’ Appropriation of Religion</i>. 2020;6:132-144. doi:<a href="https://doi.org/10.1515/opth-2020-0012">10.1515/opth-2020-0012</a>'
  apa: 'Bergmann, C. D. (2020). Mothers of a Nation: How Motherhood and Religion Intermingle
    in the Hebrew Bible. <i>Motherhood(s) in Religions: Religionification of Motherhood
    and Mothers’ Appropriation of Religion</i>, <i>6</i>, 132–144. <a href="https://doi.org/10.1515/opth-2020-0012">https://doi.org/10.1515/opth-2020-0012</a>'
  bibtex: '@article{Bergmann_2020, title={Mothers of a Nation: How Motherhood and
    Religion Intermingle in the Hebrew Bible}, volume={6}, DOI={<a href="https://doi.org/10.1515/opth-2020-0012">10.1515/opth-2020-0012</a>},
    journal={Motherhood(s) in Religions: Religionification of Motherhood and Mothers’
    Appropriation of Religion}, publisher={De Gruyter}, author={Bergmann, Claudia
    Dorit}, year={2020}, pages={132–144} }'
  chicago: 'Bergmann, Claudia Dorit. “Mothers of a Nation: How Motherhood and Religion
    Intermingle in the Hebrew Bible.” <i>Motherhood(s) in Religions: Religionification
    of Motherhood and Mothers’ Appropriation of Religion</i> 6 (2020): 132–44. <a
    href="https://doi.org/10.1515/opth-2020-0012">https://doi.org/10.1515/opth-2020-0012</a>.'
  ieee: 'C. D. Bergmann, “Mothers of a Nation: How Motherhood and Religion Intermingle
    in the Hebrew Bible,” <i>Motherhood(s) in Religions: Religionification of Motherhood
    and Mothers’ Appropriation of Religion</i>, vol. 6, pp. 132–144, 2020, doi: <a
    href="https://doi.org/10.1515/opth-2020-0012">10.1515/opth-2020-0012</a>.'
  mla: 'Bergmann, Claudia Dorit. “Mothers of a Nation: How Motherhood and Religion
    Intermingle in the Hebrew Bible.” <i>Motherhood(s) in Religions: Religionification
    of Motherhood and Mothers’ Appropriation of Religion</i>, vol. 6, De Gruyter,
    2020, pp. 132–44, doi:<a href="https://doi.org/10.1515/opth-2020-0012">10.1515/opth-2020-0012</a>.'
  short: 'C.D. Bergmann, Motherhood(s) in Religions: Religionification of Motherhood
    and Mothers’ Appropriation of Religion 6 (2020) 132–144.'
date_created: 2024-11-03T20:26:04Z
date_updated: 2024-11-20T16:18:32Z
doi: 10.1515/opth-2020-0012
intvolume: '         6'
language:
- iso: eng
page: 132-144
publication: 'Motherhood(s) in Religions: Religionification of Motherhood and Mothers’
  Appropriation of Religion'
publisher: De Gruyter
related_material:
  link:
  - relation: confirmation
    url: https://www.researchgate.net/publication/347772909_Mothers_of_a_Nation_How_Motherhood_and_Religion_Intermingle_in_the_Hebrew_Bible
status: public
title: 'Mothers of a Nation: How Motherhood and Religion Intermingle in the Hebrew
  Bible'
type: journal_article
user_id: '94584'
volume: 6
year: '2020'
...
---
_id: '56764'
author:
- first_name: Claudia Dorit
  full_name: Bergmann, Claudia Dorit
  id: '94584'
  last_name: Bergmann
- first_name: 'Maria '
  full_name: 'Stürzebecher, Maria '
  last_name: Stürzebecher
citation:
  ama: 'Bergmann CD, Stürzebecher M. Editorial. In: <i>Ritual Objects in Ritual Contexts.</i>
    Vol 6. Erfurter Schriften zur jüdischen Geschichte . Bussert &#38; Stadeler; 2020:8-9.'
  apa: Bergmann, C. D., &#38; Stürzebecher, M. (2020). Editorial. In <i>Ritual Objects
    in Ritual Contexts.</i> (Vol. 6, pp. 8–9). Bussert &#38; Stadeler.
  bibtex: '@inbook{Bergmann_Stürzebecher_2020, place={Jena}, series={Erfurter Schriften
    zur jüdischen Geschichte }, title={Editorial}, volume={6}, booktitle={Ritual Objects
    in Ritual Contexts.}, publisher={Bussert &#38; Stadeler}, author={Bergmann, Claudia
    Dorit and Stürzebecher, Maria }, year={2020}, pages={8–9}, collection={Erfurter
    Schriften zur jüdischen Geschichte } }'
  chicago: 'Bergmann, Claudia Dorit, and Maria  Stürzebecher. “Editorial.” In <i>Ritual
    Objects in Ritual Contexts.</i>, 6:8–9. Erfurter Schriften Zur Jüdischen Geschichte
    . Jena: Bussert &#38; Stadeler, 2020.'
  ieee: 'C. D. Bergmann and M. Stürzebecher, “Editorial,” in <i>Ritual Objects in
    Ritual Contexts.</i>, vol. 6, Jena: Bussert &#38; Stadeler, 2020, pp. 8–9.'
  mla: Bergmann, Claudia Dorit, and Maria Stürzebecher. “Editorial.” <i>Ritual Objects
    in Ritual Contexts.</i>, vol. 6, Bussert &#38; Stadeler, 2020, pp. 8–9.
  short: 'C.D. Bergmann, M. Stürzebecher, in: Ritual Objects in Ritual Contexts.,
    Bussert &#38; Stadeler, Jena, 2020, pp. 8–9.'
date_created: 2024-10-27T09:01:18Z
date_updated: 2024-11-20T16:19:03Z
intvolume: '         6'
language:
- iso: eng
page: 8-9
place: Jena
publication: Ritual Objects in Ritual Contexts.
publisher: Bussert & Stadeler
series_title: 'Erfurter Schriften zur jüdischen Geschichte '
status: public
title: Editorial
type: book_chapter
user_id: '94584'
volume: 6
year: '2020'
...
---
_id: '57338'
author:
- first_name: Andreas
  full_name: Marchetti, Andreas
  id: '41561'
  last_name: Marchetti
citation:
  ama: Marchetti A. <i>Durchbruch für die dezentrale deutsch-französische Zusammenarbeit?
    Perspektiven nach dem Vertrag von Aachen</i>. Vol 30. Institut français des relations
    internationales; 2020.
  apa: Marchetti, A. (2020). <i>Durchbruch für die dezentrale deutsch-französische
    Zusammenarbeit? Perspektiven nach dem Vertrag von Aachen</i> (Vol. 30). Institut
    français des relations internationales.
  bibtex: '@book{Marchetti_2020, place={Paris}, series={Visions franco- allemandes},
    title={Durchbruch für die dezentrale deutsch-französische Zusammenarbeit? Perspektiven
    nach dem Vertrag von Aachen}, volume={30}, publisher={Institut français des relations
    internationales}, author={Marchetti, Andreas}, year={2020}, collection={Visions
    franco- allemandes} }'
  chicago: 'Marchetti, Andreas. <i>Durchbruch für die dezentrale deutsch-französische
    Zusammenarbeit? Perspektiven nach dem Vertrag von Aachen</i>. Vol. 30. Visions
    franco- allemandes. Paris: Institut français des relations internationales, 2020.'
  ieee: 'A. Marchetti, <i>Durchbruch für die dezentrale deutsch-französische Zusammenarbeit?
    Perspektiven nach dem Vertrag von Aachen</i>, vol. 30. Paris: Institut français
    des relations internationales, 2020.'
  mla: Marchetti, Andreas. <i>Durchbruch für die dezentrale deutsch-französische Zusammenarbeit?
    Perspektiven nach dem Vertrag von Aachen</i>. Institut français des relations
    internationales, 2020.
  short: A. Marchetti, Durchbruch für die dezentrale deutsch-französische Zusammenarbeit?
    Perspektiven nach dem Vertrag von Aachen, Institut français des relations internationales,
    Paris, 2020.
date_created: 2024-11-22T23:05:57Z
date_updated: 2024-11-22T23:17:26Z
intvolume: '        30'
language:
- iso: ger
page: '29'
place: Paris
publisher: Institut français des relations internationales
series_title: Visions franco- allemandes
status: public
title: Durchbruch für die dezentrale deutsch-französische Zusammenarbeit? Perspektiven
  nach dem Vertrag von Aachen
type: working_paper
user_id: '41561'
volume: 30
year: '2020'
...