---
_id: '63371'
abstract:
- lang: eng
  text: <jats:p>Adhesion between cells and other cells (cell–cell adhesion) or other
    tissue components (cell–matrix adhesion) is an intrinsically non-local phenomenon.
    Consequently, a number of recently developed mathematical models for cell adhesion
    have taken the form of non-local partial differential equations, where the non-local
    term arises inside a spatial derivative. The mathematical properties of such a
    non-local gradient term are not yet well understood. Here we use sophisticated
    estimation techniques to show local and global existence of classical solutions
    for such examples of adhesion-type models, and we provide a uniform upper bound
    for the solutions. Further, we discuss the significance of these results to applications
    in cell sorting and in cancer invasion and support the theoretical results through
    numerical simulations.</jats:p>
author:
- first_name: T.
  full_name: HILLEN, T.
  last_name: HILLEN
- first_name: K. J.
  full_name: PAINTER, K. J.
  last_name: PAINTER
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: HILLEN T, PAINTER KJ, Winkler M. Global solvability and explicit bounds for
    non-local adhesion models. <i>European Journal of Applied Mathematics</i>. 2017;29(4):645-684.
    doi:<a href="https://doi.org/10.1017/s0956792517000328">10.1017/s0956792517000328</a>
  apa: HILLEN, T., PAINTER, K. J., &#38; Winkler, M. (2017). Global solvability and
    explicit bounds for non-local adhesion models. <i>European Journal of Applied
    Mathematics</i>, <i>29</i>(4), 645–684. <a href="https://doi.org/10.1017/s0956792517000328">https://doi.org/10.1017/s0956792517000328</a>
  bibtex: '@article{HILLEN_PAINTER_Winkler_2017, title={Global solvability and explicit
    bounds for non-local adhesion models}, volume={29}, DOI={<a href="https://doi.org/10.1017/s0956792517000328">10.1017/s0956792517000328</a>},
    number={4}, journal={European Journal of Applied Mathematics}, publisher={Cambridge
    University Press (CUP)}, author={HILLEN, T. and PAINTER, K. J. and Winkler, Michael},
    year={2017}, pages={645–684} }'
  chicago: 'HILLEN, T., K. J. PAINTER, and Michael Winkler. “Global Solvability and
    Explicit Bounds for Non-Local Adhesion Models.” <i>European Journal of Applied
    Mathematics</i> 29, no. 4 (2017): 645–84. <a href="https://doi.org/10.1017/s0956792517000328">https://doi.org/10.1017/s0956792517000328</a>.'
  ieee: 'T. HILLEN, K. J. PAINTER, and M. Winkler, “Global solvability and explicit
    bounds for non-local adhesion models,” <i>European Journal of Applied Mathematics</i>,
    vol. 29, no. 4, pp. 645–684, 2017, doi: <a href="https://doi.org/10.1017/s0956792517000328">10.1017/s0956792517000328</a>.'
  mla: HILLEN, T., et al. “Global Solvability and Explicit Bounds for Non-Local Adhesion
    Models.” <i>European Journal of Applied Mathematics</i>, vol. 29, no. 4, Cambridge
    University Press (CUP), 2017, pp. 645–84, doi:<a href="https://doi.org/10.1017/s0956792517000328">10.1017/s0956792517000328</a>.
  short: T. HILLEN, K.J. PAINTER, M. Winkler, European Journal of Applied Mathematics
    29 (2017) 645–684.
date_created: 2025-12-19T11:03:50Z
date_updated: 2025-12-19T11:03:57Z
doi: 10.1017/s0956792517000328
intvolume: '        29'
issue: '4'
language:
- iso: eng
page: 645-684
publication: European Journal of Applied Mathematics
publication_identifier:
  issn:
  - 0956-7925
  - 1469-4425
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: Global solvability and explicit bounds for non-local adhesion models
type: journal_article
user_id: '31496'
volume: 29
year: '2017'
...
---
_id: '63372'
author:
- first_name: Yulan
  full_name: Wang, Yulan
  last_name: Wang
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
- first_name: Zhaoyin
  full_name: Xiang, Zhaoyin
  last_name: Xiang
citation:
  ama: Wang Y, Winkler M, Xiang Z. The small-convection limit in a two-dimensional
    chemotaxis-Navier–Stokes system. <i>Mathematische Zeitschrift</i>. 2017;289(1-2):71-108.
    doi:<a href="https://doi.org/10.1007/s00209-017-1944-6">10.1007/s00209-017-1944-6</a>
  apa: Wang, Y., Winkler, M., &#38; Xiang, Z. (2017). The small-convection limit in
    a two-dimensional chemotaxis-Navier–Stokes system. <i>Mathematische Zeitschrift</i>,
    <i>289</i>(1–2), 71–108. <a href="https://doi.org/10.1007/s00209-017-1944-6">https://doi.org/10.1007/s00209-017-1944-6</a>
  bibtex: '@article{Wang_Winkler_Xiang_2017, title={The small-convection limit in
    a two-dimensional chemotaxis-Navier–Stokes system}, volume={289}, DOI={<a href="https://doi.org/10.1007/s00209-017-1944-6">10.1007/s00209-017-1944-6</a>},
    number={1–2}, journal={Mathematische Zeitschrift}, publisher={Springer Science
    and Business Media LLC}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin},
    year={2017}, pages={71–108} }'
  chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “The Small-Convection
    Limit in a Two-Dimensional Chemotaxis-Navier–Stokes System.” <i>Mathematische
    Zeitschrift</i> 289, no. 1–2 (2017): 71–108. <a href="https://doi.org/10.1007/s00209-017-1944-6">https://doi.org/10.1007/s00209-017-1944-6</a>.'
  ieee: 'Y. Wang, M. Winkler, and Z. Xiang, “The small-convection limit in a two-dimensional
    chemotaxis-Navier–Stokes system,” <i>Mathematische Zeitschrift</i>, vol. 289,
    no. 1–2, pp. 71–108, 2017, doi: <a href="https://doi.org/10.1007/s00209-017-1944-6">10.1007/s00209-017-1944-6</a>.'
  mla: Wang, Yulan, et al. “The Small-Convection Limit in a Two-Dimensional Chemotaxis-Navier–Stokes
    System.” <i>Mathematische Zeitschrift</i>, vol. 289, no. 1–2, Springer Science
    and Business Media LLC, 2017, pp. 71–108, doi:<a href="https://doi.org/10.1007/s00209-017-1944-6">10.1007/s00209-017-1944-6</a>.
  short: Y. Wang, M. Winkler, Z. Xiang, Mathematische Zeitschrift 289 (2017) 71–108.
date_created: 2025-12-19T11:04:38Z
date_updated: 2025-12-19T11:04:46Z
doi: 10.1007/s00209-017-1944-6
intvolume: '       289'
issue: 1-2
language:
- iso: eng
page: 71-108
publication: Mathematische Zeitschrift
publication_identifier:
  issn:
  - 0025-5874
  - 1432-1823
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system
type: journal_article
user_id: '31496'
volume: 289
year: '2017'
...
---
_id: '63374'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Singular structure formation in a degenerate haptotaxis model involving
    myopic diffusion. <i>Journal de Mathématiques Pures et Appliquées</i>. 2017;112:118-169.
    doi:<a href="https://doi.org/10.1016/j.matpur.2017.11.002">10.1016/j.matpur.2017.11.002</a>
  apa: Winkler, M. (2017). Singular structure formation in a degenerate haptotaxis
    model involving myopic diffusion. <i>Journal de Mathématiques Pures et Appliquées</i>,
    <i>112</i>, 118–169. <a href="https://doi.org/10.1016/j.matpur.2017.11.002">https://doi.org/10.1016/j.matpur.2017.11.002</a>
  bibtex: '@article{Winkler_2017, title={Singular structure formation in a degenerate
    haptotaxis model involving myopic diffusion}, volume={112}, DOI={<a href="https://doi.org/10.1016/j.matpur.2017.11.002">10.1016/j.matpur.2017.11.002</a>},
    journal={Journal de Mathématiques Pures et Appliquées}, publisher={Elsevier BV},
    author={Winkler, Michael}, year={2017}, pages={118–169} }'
  chicago: 'Winkler, Michael. “Singular Structure Formation in a Degenerate Haptotaxis
    Model Involving Myopic Diffusion.” <i>Journal de Mathématiques Pures et Appliquées</i>
    112 (2017): 118–69. <a href="https://doi.org/10.1016/j.matpur.2017.11.002">https://doi.org/10.1016/j.matpur.2017.11.002</a>.'
  ieee: 'M. Winkler, “Singular structure formation in a degenerate haptotaxis model
    involving myopic diffusion,” <i>Journal de Mathématiques Pures et Appliquées</i>,
    vol. 112, pp. 118–169, 2017, doi: <a href="https://doi.org/10.1016/j.matpur.2017.11.002">10.1016/j.matpur.2017.11.002</a>.'
  mla: Winkler, Michael. “Singular Structure Formation in a Degenerate Haptotaxis
    Model Involving Myopic Diffusion.” <i>Journal de Mathématiques Pures et Appliquées</i>,
    vol. 112, Elsevier BV, 2017, pp. 118–69, doi:<a href="https://doi.org/10.1016/j.matpur.2017.11.002">10.1016/j.matpur.2017.11.002</a>.
  short: M. Winkler, Journal de Mathématiques Pures et Appliquées 112 (2017) 118–169.
date_created: 2025-12-19T11:05:33Z
date_updated: 2025-12-19T11:05:40Z
doi: 10.1016/j.matpur.2017.11.002
intvolume: '       112'
language:
- iso: eng
page: 118-169
publication: Journal de Mathématiques Pures et Appliquées
publication_identifier:
  issn:
  - 0021-7824
publication_status: published
publisher: Elsevier BV
status: public
title: Singular structure formation in a degenerate haptotaxis model involving myopic
  diffusion
type: journal_article
user_id: '31496'
volume: 112
year: '2017'
...
---
_id: '63378'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: 'Winkler M. One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction
    Revisited—Extinction at Spatial Infinity. <i>Journal of Dynamics and Differential
    Equations</i>. 2017;30(1):331-358. doi:<a href="https://doi.org/10.1007/s10884-017-9577-3">10.1007/s10884-017-9577-3</a>'
  apa: 'Winkler, M. (2017). One-Dimensional Super-Fast Diffusion: Persistence Versus
    Extinction Revisited—Extinction at Spatial Infinity. <i>Journal of Dynamics and
    Differential Equations</i>, <i>30</i>(1), 331–358. <a href="https://doi.org/10.1007/s10884-017-9577-3">https://doi.org/10.1007/s10884-017-9577-3</a>'
  bibtex: '@article{Winkler_2017, title={One-Dimensional Super-Fast Diffusion: Persistence
    Versus Extinction Revisited—Extinction at Spatial Infinity}, volume={30}, DOI={<a
    href="https://doi.org/10.1007/s10884-017-9577-3">10.1007/s10884-017-9577-3</a>},
    number={1}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer
    Science and Business Media LLC}, author={Winkler, Michael}, year={2017}, pages={331–358}
    }'
  chicago: 'Winkler, Michael. “One-Dimensional Super-Fast Diffusion: Persistence Versus
    Extinction Revisited—Extinction at Spatial Infinity.” <i>Journal of Dynamics and
    Differential Equations</i> 30, no. 1 (2017): 331–58. <a href="https://doi.org/10.1007/s10884-017-9577-3">https://doi.org/10.1007/s10884-017-9577-3</a>.'
  ieee: 'M. Winkler, “One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction
    Revisited—Extinction at Spatial Infinity,” <i>Journal of Dynamics and Differential
    Equations</i>, vol. 30, no. 1, pp. 331–358, 2017, doi: <a href="https://doi.org/10.1007/s10884-017-9577-3">10.1007/s10884-017-9577-3</a>.'
  mla: 'Winkler, Michael. “One-Dimensional Super-Fast Diffusion: Persistence Versus
    Extinction Revisited—Extinction at Spatial Infinity.” <i>Journal of Dynamics and
    Differential Equations</i>, vol. 30, no. 1, Springer Science and Business Media
    LLC, 2017, pp. 331–58, doi:<a href="https://doi.org/10.1007/s10884-017-9577-3">10.1007/s10884-017-9577-3</a>.'
  short: M. Winkler, Journal of Dynamics and Differential Equations 30 (2017) 331–358.
date_created: 2025-12-19T11:07:24Z
date_updated: 2025-12-19T11:07:30Z
doi: 10.1007/s10884-017-9577-3
intvolume: '        30'
issue: '1'
language:
- iso: eng
page: 331-358
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: 'One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction
  at Spatial Infinity'
type: journal_article
user_id: '31496'
volume: 30
year: '2017'
...
---
_id: '63379'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Renormalized radial large-data solutions to the higher-dimensional
    Keller–Segel system with singular sensitivity and signal absorption. <i>Journal
    of Differential Equations</i>. 2017;264(3):2310-2350. doi:<a href="https://doi.org/10.1016/j.jde.2017.10.029">10.1016/j.jde.2017.10.029</a>
  apa: Winkler, M. (2017). Renormalized radial large-data solutions to the higher-dimensional
    Keller–Segel system with singular sensitivity and signal absorption. <i>Journal
    of Differential Equations</i>, <i>264</i>(3), 2310–2350. <a href="https://doi.org/10.1016/j.jde.2017.10.029">https://doi.org/10.1016/j.jde.2017.10.029</a>
  bibtex: '@article{Winkler_2017, title={Renormalized radial large-data solutions
    to the higher-dimensional Keller–Segel system with singular sensitivity and signal
    absorption}, volume={264}, DOI={<a href="https://doi.org/10.1016/j.jde.2017.10.029">10.1016/j.jde.2017.10.029</a>},
    number={3}, journal={Journal of Differential Equations}, publisher={Elsevier BV},
    author={Winkler, Michael}, year={2017}, pages={2310–2350} }'
  chicago: 'Winkler, Michael. “Renormalized Radial Large-Data Solutions to the Higher-Dimensional
    Keller–Segel System with Singular Sensitivity and Signal Absorption.” <i>Journal
    of Differential Equations</i> 264, no. 3 (2017): 2310–50. <a href="https://doi.org/10.1016/j.jde.2017.10.029">https://doi.org/10.1016/j.jde.2017.10.029</a>.'
  ieee: 'M. Winkler, “Renormalized radial large-data solutions to the higher-dimensional
    Keller–Segel system with singular sensitivity and signal absorption,” <i>Journal
    of Differential Equations</i>, vol. 264, no. 3, pp. 2310–2350, 2017, doi: <a href="https://doi.org/10.1016/j.jde.2017.10.029">10.1016/j.jde.2017.10.029</a>.'
  mla: Winkler, Michael. “Renormalized Radial Large-Data Solutions to the Higher-Dimensional
    Keller–Segel System with Singular Sensitivity and Signal Absorption.” <i>Journal
    of Differential Equations</i>, vol. 264, no. 3, Elsevier BV, 2017, pp. 2310–50,
    doi:<a href="https://doi.org/10.1016/j.jde.2017.10.029">10.1016/j.jde.2017.10.029</a>.
  short: M. Winkler, Journal of Differential Equations 264 (2017) 2310–2350.
date_created: 2025-12-19T11:07:52Z
date_updated: 2025-12-19T11:07:59Z
doi: 10.1016/j.jde.2017.10.029
intvolume: '       264'
issue: '3'
language:
- iso: eng
page: 2310-2350
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Renormalized radial large-data solutions to the higher-dimensional Keller–Segel
  system with singular sensitivity and signal absorption
type: journal_article
user_id: '31496'
volume: 264
year: '2017'
...
---
_id: '63383'
abstract:
- lang: eng
  text: "<p>This paper is concerned with radially symmetric solutions of the parabolic-elliptic
    version of the Keller-Segel system with flux limitation, as given by <disp-formula
    content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"StartLayout 1st Row  with Label left-parenthesis reverse-solidus star
    right-parenthesis EndLabel StartLayout Enlarged left-brace 1st Row  u Subscript
    t Baseline equals nabla dot left-parenthesis StartFraction u nabla u Over StartRoot
    u squared plus StartAbsoluteValue nabla u EndAbsoluteValue squared EndRoot EndFraction
    right-parenthesis minus chi nabla dot left-parenthesis StartFraction u nabla v
    Over StartRoot 1 plus StartAbsoluteValue nabla v EndAbsoluteValue squared EndRoot
    EndFraction right-parenthesis comma 2nd Row  0 equals normal upper Delta v minus
    mu plus u comma EndLayout EndLayout\">\r\n  <mml:semantics>\r\n    <mml:mtable
    side=\"left\" displaystyle=\"false\">\r\n      <mml:mlabeledtr>\r\n        <mml:mtd>\r\n
    \         <mml:mtext>(\\star)</mml:mtext>\r\n        </mml:mtd>\r\n        <mml:mtd>\r\n
    \         <mml:mrow>\r\n            <mml:mo>{</mml:mo>\r\n            <mml:mtable
    columnalign=\"left left\" rowspacing=\"0.5em 0.2em\" columnspacing=\"1em\" displaystyle=\"false\">\r\n
    \             <mml:mtr>\r\n                <mml:mtd>\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:mi
    mathvariant=\"normal\">∇<!-- ∇ --></mml:mi>\r\n                  <mml:mo>⋅<!--
    ⋅ --></mml:mo>\r\n                  <mml:mstyle scriptlevel=\"0\">\r\n                    <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n                      <mml:mo maxsize=\"1.623em\"
    minsize=\"1.623em\">(</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mstyle>\r\n
    \                 <mml:mfrac>\r\n                    <mml:mrow>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mi mathvariant=\"normal\">∇<!-- ∇ --></mml:mi>\r\n
    \                     <mml:mi>u</mml:mi>\r\n                    </mml:mrow>\r\n
    \                   <mml:msqrt>\r\n                      <mml:msup>\r\n                        <mml:mi>u</mml:mi>\r\n
    \                       <mml:mn>2</mml:mn>\r\n                      </mml:msup>\r\n
    \                     <mml:mo>+</mml:mo>\r\n                      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \                       <mml:mo stretchy=\"false\">|</mml:mo>\r\n                      </mml:mrow>\r\n
    \                     <mml:mi mathvariant=\"normal\">∇<!-- ∇ --></mml:mi>\r\n
    \                     <mml:mi>u</mml:mi>\r\n                      <mml:msup>\r\n
    \                       <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n                          <mml:mo
    stretchy=\"false\">|</mml:mo>\r\n                        </mml:mrow>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                     </mml:msup>\r\n                    </mml:msqrt>\r\n                  </mml:mfrac>\r\n
    \                 <mml:mstyle scriptlevel=\"0\">\r\n                    <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n                      <mml:mo maxsize=\"1.623em\"
    minsize=\"1.623em\">)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mstyle>\r\n
    \                 <mml:mo>−<!-- − --></mml:mo>\r\n                  <mml:mi>χ<!--
    χ --></mml:mi>\r\n                  <mml:mspace width=\"thinmathspace\" />\r\n
    \                 <mml:mi mathvariant=\"normal\">∇<!-- ∇ --></mml:mi>\r\n                  <mml:mo>⋅<!--
    ⋅ --></mml:mo>\r\n                  <mml:mstyle scriptlevel=\"0\">\r\n                    <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n                      <mml:mo maxsize=\"1.623em\"
    minsize=\"1.623em\">(</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mstyle>\r\n
    \                 <mml:mfrac>\r\n                    <mml:mrow>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mi mathvariant=\"normal\">∇<!-- ∇ --></mml:mi>\r\n
    \                     <mml:mi>v</mml:mi>\r\n                    </mml:mrow>\r\n
    \                   <mml:msqrt>\r\n                      <mml:mn>1</mml:mn>\r\n
    \                     <mml:mo>+</mml:mo>\r\n                      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \                       <mml:mo stretchy=\"false\">|</mml:mo>\r\n                      </mml:mrow>\r\n
    \                     <mml:mi mathvariant=\"normal\">∇<!-- ∇ --></mml:mi>\r\n
    \                     <mml:mi>v</mml:mi>\r\n                      <mml:msup>\r\n
    \                       <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n                          <mml:mo
    stretchy=\"false\">|</mml:mo>\r\n                        </mml:mrow>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                     </mml:msup>\r\n                    </mml:msqrt>\r\n                  </mml:mfrac>\r\n
    \                 <mml:mstyle scriptlevel=\"0\">\r\n                    <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n                      <mml:mo maxsize=\"1.623em\"
    minsize=\"1.623em\">)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mstyle>\r\n
    \                 <mml:mo>,</mml:mo>\r\n                </mml:mtd>\r\n              </mml:mtr>\r\n
    \             <mml:mtr>\r\n                <mml:mtd>\r\n                  <mml:mn>0</mml:mn>\r\n
    \                 <mml:mo>=</mml:mo>\r\n                  <mml:mi mathvariant=\"normal\">Δ<!--
    Δ --></mml:mi>\r\n                  <mml:mi>v</mml:mi>\r\n                  <mml:mo>−<!--
    − --></mml:mo>\r\n                  <mml:mi>μ<!-- μ --></mml:mi>\r\n                  <mml:mo>+</mml:mo>\r\n
    \                 <mml:mi>u</mml:mi>\r\n                  <mml:mo>,</mml:mo>\r\n
    \               </mml:mtd>\r\n              </mml:mtr>\r\n            </mml:mtable>\r\n
    \           <mml:mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" />\r\n
    \         </mml:mrow>\r\n        </mml:mtd>\r\n      </mml:mlabeledtr>\r\n    </mml:mtable>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\begin{equation}\\tag {\\star
    } \\begin {cases} u_t=\\nabla \\cdot \\Big (\\frac {u\\nabla u}{\\sqrt {u^2+|\\nabla
    u|^2}}\\Big ) - \\chi \\, \\nabla \\cdot \\Big (\\frac {u\\nabla v}{\\sqrt {1+|\\nabla
    v|^2}}\\Big ), \\\\[3pt] 0=\\Delta v - \\mu + u, \\end{cases} \\end{equation}</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</disp-formula>\r\n under the initial condition
    <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"u vertical-bar Subscript t equals 0 Baseline equals u 0 greater-than
    0\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>u</mml:mi>\r\n      <mml:msub>\r\n
    \       <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo stretchy=\"false\">|</mml:mo>\r\n
    \       </mml:mrow>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mi>t</mml:mi>\r\n
    \         <mml:mo>=</mml:mo>\r\n          <mml:mn>0</mml:mn>\r\n        </mml:mrow>\r\n
    \     </mml:msub>\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:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">u|_{t=0}=u_0&gt;0</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> and no-flux boundary conditions
    in a ball <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"normal upper Omega subset-of double-struck upper R Superscript n\">\r\n
    \ <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi mathvariant=\"normal\">Ω<!--
    Ω --></mml:mi>\r\n      <mml:mo>⊂<!-- ⊂ --></mml:mo>\r\n      <mml:msup>\r\n        <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mi mathvariant=\"double-struck\">R</mml:mi>\r\n
    \       </mml:mrow>\r\n        <mml:mi>n</mml:mi>\r\n      </mml:msup>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\Omega \\subset \\mathbb {R}^n</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>, where <inline-formula
    content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"chi greater-than 0\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>χ<!--
    χ --></mml:mi>\r\n      <mml:mo>&gt;</mml:mo>\r\n      <mml:mn>0</mml:mn>\r\n
    \   </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">\\chi &gt;0</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> and <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"mu colon equals StartFraction
    1 Over StartAbsoluteValue normal upper Omega EndAbsoluteValue EndFraction integral
    Underscript normal upper Omega Endscripts u 0\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n
    \     <mml:mi>μ<!-- μ --></mml:mi>\r\n      <mml:mo>:=</mml:mo>\r\n      <mml:mfrac>\r\n
    \       <mml:mn>1</mml:mn>\r\n        <mml:mrow>\r\n          <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \           <mml:mo stretchy=\"false\">|</mml:mo>\r\n          </mml:mrow>\r\n
    \         <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n          <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n            <mml:mo stretchy=\"false\">|</mml:mo>\r\n
    \         </mml:mrow>\r\n        </mml:mrow>\r\n      </mml:mfrac>\r\n      <mml:msub>\r\n
    \       <mml:mo>∫<!-- ∫ --></mml:mo>\r\n        <mml:mi mathvariant=\"normal\">Ω<!--
    Ω --></mml:mi>\r\n      </mml:msub>\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:annotation
    encoding=\"application/x-tex\">\\mu :=\\frac {1}{|\\Omega |} \\int _\\Omega u_0</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>. A previous result of the
    authors [Comm. Partial Differential Equations 42 (2017), 436–473] has asserted
    global existence of bounded classical solutions for arbitrary positive radial
    initial data <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"u 0 element-of upper C cubed left-parenthesis normal upper Omega overbar
    right-parenthesis\">\r\n  <mml:semantics>\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>3</mml:mn>\r\n      </mml:msup>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n
    \     <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mover>\r\n          <mml:mi
    mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n          <mml:mo stretchy=\"false\">¯<!--
    ¯ --></mml:mo>\r\n        </mml:mover>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n
    \   </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">u_0\\in
    C^3(\\bar \\Omega )</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>
    when either <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"n greater-than-or-equal-to 2\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n
    \     <mml:mi>n</mml:mi>\r\n      <mml:mo>≥<!-- ≥ --></mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n
    \   </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">n\\ge 2</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> and <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"chi greater-than 1\">\r\n
    \ <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>χ<!-- χ --></mml:mi>\r\n
    \     <mml:mo>&gt;</mml:mo>\r\n      <mml:mn>1</mml:mn>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\chi &gt;1</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>, or <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"n equals 1\">\r\n  <mml:semantics>\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:annotation encoding=\"application/x-tex\">n=1</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> and <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"integral Underscript
    normal upper Omega Endscripts u 0 greater-than StartFraction 1 Over StartRoot
    left-parenthesis chi squared minus 1 right-parenthesis Subscript plus Baseline
    EndRoot EndFraction\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:msub>\r\n
    \       <mml:mo>∫<!-- ∫ --></mml:mo>\r\n        <mml:mi mathvariant=\"normal\">Ω<!--
    Ω --></mml:mi>\r\n      </mml:msub>\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:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:msqrt>\r\n          <mml:mo
    stretchy=\"false\">(</mml:mo>\r\n          <mml:msup>\r\n            <mml:mi>χ<!--
    χ --></mml:mi>\r\n            <mml:mn>2</mml:mn>\r\n          </mml:msup>\r\n
    \         <mml:mo>−<!-- − --></mml:mo>\r\n          <mml:mn>1</mml:mn>\r\n          <mml:msub>\r\n
    \           <mml:mo stretchy=\"false\">)</mml:mo>\r\n            <mml:mo>+</mml:mo>\r\n
    \         </mml:msub>\r\n        </mml:msqrt>\r\n      </mml:mfrac>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\int _\\Omega u_0&gt;\\frac
    {1}{\\sqrt {(\\chi ^2-1)_+}}</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>.</p>\r\n\r\n<p>This
    present paper shows that these conditions are essentially optimal: Indeed, it
    is shown that if the taxis coefficient satisfies <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"chi greater-than 1\">\r\n
    \ <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>χ<!-- χ --></mml:mi>\r\n
    \     <mml:mo>&gt;</mml:mo>\r\n      <mml:mn>1</mml:mn>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\chi &gt;1</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>, then for any choice of
    <disp-formula content-type=\"math/mathml\">\r\n\\[\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"StartLayout Enlarged left-brace 1st Row 1st Column m greater-than StartFraction
    1 Over StartRoot chi squared minus 1 EndRoot EndFraction 2nd Column a m p semicolon
    if n equals 1 comma 2nd Row 1st Column m greater-than 0 is arbitrary 2nd Column
    a m p semicolon if n greater-than-or-equal-to 2 comma EndLayout\">\r\n  <mml:semantics>\r\n
    \   <mml:mrow>\r\n      <mml:mo>{</mml:mo>\r\n      <mml:mtable columnalign=\"left
    left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\r\n        <mml:mtr>\r\n
    \         <mml:mtd>\r\n            <mml:mi>m</mml:mi>\r\n            <mml:mo>&gt;</mml:mo>\r\n
    \           <mml:mfrac>\r\n              <mml:mn>1</mml:mn>\r\n              <mml:msqrt>\r\n
    \               <mml:msup>\r\n                  <mml:mi>χ<!-- χ --></mml:mi>\r\n
    \                 <mml:mn>2</mml:mn>\r\n                </mml:msup>\r\n                <mml:mo>−<!--
    − --></mml:mo>\r\n                <mml:mn>1</mml:mn>\r\n              </mml:msqrt>\r\n
    \           </mml:mfrac>\r\n          </mml:mtd>\r\n          <mml:mtd>\r\n            <mml:mi>a</mml:mi>\r\n
    \           <mml:mi>m</mml:mi>\r\n            <mml:mi>p</mml:mi>\r\n            <mml:mo>;</mml:mo>\r\n
    \           <mml:mrow>\r\n              <mml:mtext>if </mml:mtext>\r\n              <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\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:mrow>\r\n
    \           <mml:mo>,</mml:mo>\r\n          </mml:mtd>\r\n        </mml:mtr>\r\n
    \       <mml:mtr>\r\n          <mml:mtd>\r\n            <mml:mrow>\r\n              <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n                <mml:mi>m</mml:mi>\r\n                <mml:mo>&gt;</mml:mo>\r\n
    \               <mml:mn>0</mml:mn>\r\n              </mml:mrow>\r\n              <mml:mtext> is
    arbitrary</mml:mtext>\r\n            </mml:mrow>\r\n          </mml:mtd>\r\n          <mml:mtd>\r\n
    \           <mml:mi>a</mml:mi>\r\n            <mml:mi>m</mml:mi>\r\n            <mml:mi>p</mml:mi>\r\n
    \           <mml:mo>;</mml:mo>\r\n            <mml:mrow>\r\n              <mml:mtext>if </mml:mtext>\r\n
    \             <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n                <mml:mi>n</mml:mi>\r\n
    \               <mml:mo>≥<!-- ≥ --></mml:mo>\r\n                <mml:mn>2</mml:mn>\r\n
    \             </mml:mrow>\r\n            </mml:mrow>\r\n            <mml:mo>,</mml:mo>\r\n
    \         </mml:mtd>\r\n        </mml:mtr>\r\n      </mml:mtable>\r\n      <mml:mo
    fence=\"true\" stretchy=\"true\" symmetric=\"true\" />\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\begin {cases} m&gt;\\frac
    {1}{\\sqrt {\\chi ^2-1}} &amp; \\text {if $n=1$}, \\\\ \\text {$m&gt;0$ is arbitrary}
    &amp; \\text {if $n\\ge 2$}, \\end {cases}</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n\\]\r\n</disp-formula>
    there exist positive initial data <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"u 0 element-of upper
    C cubed left-parenthesis normal upper Omega overbar right-parenthesis\">\r\n  <mml:semantics>\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>3</mml:mn>\r\n      </mml:msup>\r\n
    \     <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \       <mml:mover>\r\n          <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n
    \         <mml:mo stretchy=\"false\">¯<!-- ¯ --></mml:mo>\r\n        </mml:mover>\r\n
    \     </mml:mrow>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">u_0\\in C^3(\\bar \\Omega )</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> satisfying <inline-formula
    content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"integral Underscript normal upper Omega Endscripts u 0 equals m\">\r\n
    \ <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:msub>\r\n        <mml:mo>∫<!--
    ∫ --></mml:mo>\r\n        <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n
    \     </mml:msub>\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:mi>m</mml:mi>\r\n
    \   </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">\\int _\\Omega
    u_0=m</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>
    which are such that for some <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper T greater-than
    0\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>T</mml:mi>\r\n      <mml:mo>&gt;</mml:mo>\r\n
    \     <mml:mn>0</mml:mn>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">T&gt;0</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>, (<inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"star\">\r\n  <mml:semantics>\r\n
    \   <mml:mo>⋆<!-- ⋆ --></mml:mo>\r\n    <mml:annotation encoding=\"application/x-tex\">\\star</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>) possesses a uniquely determined
    classical solution <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"left-parenthesis u
    comma v right-parenthesis\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mo
    stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>u</mml:mi>\r\n      <mml:mo>,</mml:mo>\r\n
    \     <mml:mi>v</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">(u,v)</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> in <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Omega
    times left-parenthesis 0 comma upper T right-parenthesis\">\r\n  <mml:semantics>\r\n
    \   <mml:mrow>\r\n      <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n
    \     <mml:mo>×<!-- × --></mml:mo>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n
    \     <mml:mn>0</mml:mn>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mi>T</mml:mi>\r\n
    \     <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation
    encoding=\"application/x-tex\">\\Omega \\times (0,T)</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>
    blowing up at time <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper T\">\r\n  <mml:semantics>\r\n
    \   <mml:mi>T</mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">T</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> in the sense that <inline-formula
    content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"limit sup double-vertical-bar u left-parenthesis dot comma t right-parenthesis
    double-vertical-bar Subscript upper L Sub Superscript normal infinity Subscript
    left-parenthesis normal upper Omega right-parenthesis Baseline equals normal infinity\">\r\n
    \ <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:munder>\r\n        <mml:mo movablelimits=\"true\"
    form=\"prefix\">lim sup</mml:mo>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \         <mml:mi>t</mml:mi>\r\n          <mml:mo stretchy=\"false\">↗<!-- ↗ --></mml:mo>\r\n
    \         <mml:mi>T</mml:mi>\r\n        </mml:mrow>\r\n      </mml:munder>\r\n
    \     <mml:mo fence=\"false\" stretchy=\"false\">‖<!-- ‖ --></mml:mo>\r\n      <mml:mi>u</mml:mi>\r\n
    \     <mml:mo stretchy=\"false\">(</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 stretchy=\"false\">)</mml:mo>\r\n
    \     <mml:msub>\r\n        <mml:mo fence=\"false\" stretchy=\"false\">‖<!-- ‖
    --></mml:mo>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:msup>\r\n
    \           <mml:mi>L</mml:mi>\r\n            <mml:mi mathvariant=\"normal\">∞<!--
    ∞ --></mml:mi>\r\n          </mml:msup>\r\n          <mml:mo stretchy=\"false\">(</mml:mo>\r\n
    \         <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n          <mml:mo
    stretchy=\"false\">)</mml:mo>\r\n        </mml:mrow>\r\n      </mml:msub>\r\n
    \     <mml:mo>=</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">∞<!-- ∞ --></mml:mi>\r\n
    \   </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">\\limsup
    _{t\\nearrow T} \\|u(\\cdot ,t)\\|_{L^\\infty (\\Omega )}=\\infty</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>.</p>\r\n\r\n<p>This result
    is derived by means of a comparison argument applied to the doubly degenerate
    scalar parabolic equation satisfied by the mass accumulation function associated
    with (<inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"star\">\r\n  <mml:semantics>\r\n    <mml:mo>⋆<!-- ⋆ --></mml:mo>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\star</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>).</p>"
author:
- first_name: Nicola
  full_name: Bellomo, Nicola
  last_name: Bellomo
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Bellomo N, Winkler M. Finite-time blow-up in a degenerate chemotaxis system
    with flux limitation. <i>Transactions of the American Mathematical Society, Series
    B</i>. 2017;4(2):31-67. doi:<a href="https://doi.org/10.1090/btran/17">10.1090/btran/17</a>
  apa: Bellomo, N., &#38; Winkler, M. (2017). Finite-time blow-up in a degenerate
    chemotaxis system with flux limitation. <i>Transactions of the American Mathematical
    Society, Series B</i>, <i>4</i>(2), 31–67. <a href="https://doi.org/10.1090/btran/17">https://doi.org/10.1090/btran/17</a>
  bibtex: '@article{Bellomo_Winkler_2017, title={Finite-time blow-up in a degenerate
    chemotaxis system with flux limitation}, volume={4}, DOI={<a href="https://doi.org/10.1090/btran/17">10.1090/btran/17</a>},
    number={2}, journal={Transactions of the American Mathematical Society, Series
    B}, publisher={American Mathematical Society (AMS)}, author={Bellomo, Nicola and
    Winkler, Michael}, year={2017}, pages={31–67} }'
  chicago: 'Bellomo, Nicola, and Michael Winkler. “Finite-Time Blow-up in a Degenerate
    Chemotaxis System with Flux Limitation.” <i>Transactions of the American Mathematical
    Society, Series B</i> 4, no. 2 (2017): 31–67. <a href="https://doi.org/10.1090/btran/17">https://doi.org/10.1090/btran/17</a>.'
  ieee: 'N. Bellomo and M. Winkler, “Finite-time blow-up in a degenerate chemotaxis
    system with flux limitation,” <i>Transactions of the American Mathematical Society,
    Series B</i>, vol. 4, no. 2, pp. 31–67, 2017, doi: <a href="https://doi.org/10.1090/btran/17">10.1090/btran/17</a>.'
  mla: Bellomo, Nicola, and Michael Winkler. “Finite-Time Blow-up in a Degenerate
    Chemotaxis System with Flux Limitation.” <i>Transactions of the American Mathematical
    Society, Series B</i>, vol. 4, no. 2, American Mathematical Society (AMS), 2017,
    pp. 31–67, doi:<a href="https://doi.org/10.1090/btran/17">10.1090/btran/17</a>.
  short: N. Bellomo, M. Winkler, Transactions of the American Mathematical Society,
    Series B 4 (2017) 31–67.
date_created: 2025-12-19T11:09:53Z
date_updated: 2025-12-19T11:10:17Z
doi: 10.1090/btran/17
intvolume: '         4'
issue: '2'
language:
- iso: eng
page: 31-67
publication: Transactions of the American Mathematical Society, Series B
publication_identifier:
  issn:
  - 2330-0000
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Finite-time blow-up in a degenerate chemotaxis system with flux limitation
type: journal_article
user_id: '31496'
volume: 4
year: '2017'
...
---
_id: '63040'
article_number: '054422'
author:
- first_name: L.
  full_name: Thevenard, L.
  last_name: Thevenard
- first_name: B.
  full_name: Boutigny, B.
  last_name: Boutigny
- first_name: Nicholas Alexander
  full_name: Güsken, Nicholas Alexander
  id: '112030'
  last_name: Güsken
  orcid: 0000-0002-4816-0666
- first_name: L.
  full_name: Becerra, L.
  last_name: Becerra
- first_name: C.
  full_name: Ulysse, C.
  last_name: Ulysse
- first_name: S.
  full_name: Shihab, S.
  last_name: Shihab
- first_name: A.
  full_name: Lemaître, A.
  last_name: Lemaître
- first_name: J.-V.
  full_name: Kim, J.-V.
  last_name: Kim
- first_name: V.
  full_name: Jeudy, V.
  last_name: Jeudy
- first_name: C.
  full_name: Gourdon, C.
  last_name: Gourdon
citation:
  ama: Thevenard L, Boutigny B, Güsken NA, et al. Spin transfer and spin-orbit torques
    in in-plane magnetized (Ga,Mn)As tracks. <i>Physical Review B</i>. 2017;95(5).
    doi:<a href="https://doi.org/10.1103/physrevb.95.054422">10.1103/physrevb.95.054422</a>
  apa: Thevenard, L., Boutigny, B., Güsken, N. A., Becerra, L., Ulysse, C., Shihab,
    S., Lemaître, A., Kim, J.-V., Jeudy, V., &#38; Gourdon, C. (2017). Spin transfer
    and spin-orbit torques in in-plane magnetized (Ga,Mn)As tracks. <i>Physical Review
    B</i>, <i>95</i>(5), Article 054422. <a href="https://doi.org/10.1103/physrevb.95.054422">https://doi.org/10.1103/physrevb.95.054422</a>
  bibtex: '@article{Thevenard_Boutigny_Güsken_Becerra_Ulysse_Shihab_Lemaître_Kim_Jeudy_Gourdon_2017,
    title={Spin transfer and spin-orbit torques in in-plane magnetized (Ga,Mn)As tracks},
    volume={95}, DOI={<a href="https://doi.org/10.1103/physrevb.95.054422">10.1103/physrevb.95.054422</a>},
    number={5054422}, journal={Physical Review B}, publisher={American Physical Society
    (APS)}, author={Thevenard, L. and Boutigny, B. and Güsken, Nicholas Alexander
    and Becerra, L. and Ulysse, C. and Shihab, S. and Lemaître, A. and Kim, J.-V.
    and Jeudy, V. and Gourdon, C.}, year={2017} }'
  chicago: Thevenard, L., B. Boutigny, Nicholas Alexander Güsken, L. Becerra, C. Ulysse,
    S. Shihab, A. Lemaître, J.-V. Kim, V. Jeudy, and C. Gourdon. “Spin Transfer and
    Spin-Orbit Torques in in-Plane Magnetized (Ga,Mn)As Tracks.” <i>Physical Review
    B</i> 95, no. 5 (2017). <a href="https://doi.org/10.1103/physrevb.95.054422">https://doi.org/10.1103/physrevb.95.054422</a>.
  ieee: 'L. Thevenard <i>et al.</i>, “Spin transfer and spin-orbit torques in in-plane
    magnetized (Ga,Mn)As tracks,” <i>Physical Review B</i>, vol. 95, no. 5, Art. no.
    054422, 2017, doi: <a href="https://doi.org/10.1103/physrevb.95.054422">10.1103/physrevb.95.054422</a>.'
  mla: Thevenard, L., et al. “Spin Transfer and Spin-Orbit Torques in in-Plane Magnetized
    (Ga,Mn)As Tracks.” <i>Physical Review B</i>, vol. 95, no. 5, 054422, American
    Physical Society (APS), 2017, doi:<a href="https://doi.org/10.1103/physrevb.95.054422">10.1103/physrevb.95.054422</a>.
  short: L. Thevenard, B. Boutigny, N.A. Güsken, L. Becerra, C. Ulysse, S. Shihab,
    A. Lemaître, J.-V. Kim, V. Jeudy, C. Gourdon, Physical Review B 95 (2017).
date_created: 2025-12-11T20:32:23Z
date_updated: 2026-01-08T16:07:55Z
department:
- _id: '623'
- _id: '15'
- _id: '230'
doi: 10.1103/physrevb.95.054422
intvolume: '        95'
issue: '5'
language:
- iso: eng
publication: Physical Review B
publication_identifier:
  issn:
  - 2469-9950
  - 2469-9969
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Spin transfer and spin-orbit torques in in-plane magnetized (Ga,Mn)As tracks
type: journal_article
user_id: '112030'
volume: 95
year: '2017'
...
---
_id: '59497'
abstract:
- lang: eng
  text: <p>High-quality Al/InAs and Nb/InAs superconducting hybrid structure interfaces
    on catalyst free InAs nanowires.</p>
author:
- first_name: Nicholas Alexander
  full_name: Güsken, Nicholas Alexander
  id: '112030'
  last_name: Güsken
  orcid: 0000-0002-4816-0666
- first_name: Torsten
  full_name: Rieger, Torsten
  last_name: Rieger
- first_name: Patrick
  full_name: Zellekens, Patrick
  last_name: Zellekens
- first_name: Benjamin
  full_name: Bennemann, Benjamin
  last_name: Bennemann
- first_name: Elmar
  full_name: Neumann, Elmar
  last_name: Neumann
- first_name: Mihail I.
  full_name: Lepsa, Mihail I.
  last_name: Lepsa
- first_name: Thomas
  full_name: Schäpers, Thomas
  last_name: Schäpers
- first_name: Detlev
  full_name: Grützmacher, Detlev
  last_name: Grützmacher
citation:
  ama: Güsken NA, Rieger T, Zellekens P, et al. MBE growth of Al/InAs and Nb/InAs
    superconducting hybrid nanowire structures. <i>Nanoscale</i>. 2017;9(43):16735-16741.
    doi:<a href="https://doi.org/10.1039/c7nr03982d">10.1039/c7nr03982d</a>
  apa: Güsken, N. A., Rieger, T., Zellekens, P., Bennemann, B., Neumann, E., Lepsa,
    M. I., Schäpers, T., &#38; Grützmacher, D. (2017). MBE growth of Al/InAs and Nb/InAs
    superconducting hybrid nanowire structures. <i>Nanoscale</i>, <i>9</i>(43), 16735–16741.
    <a href="https://doi.org/10.1039/c7nr03982d">https://doi.org/10.1039/c7nr03982d</a>
  bibtex: '@article{Güsken_Rieger_Zellekens_Bennemann_Neumann_Lepsa_Schäpers_Grützmacher_2017,
    title={MBE growth of Al/InAs and Nb/InAs superconducting hybrid nanowire structures},
    volume={9}, DOI={<a href="https://doi.org/10.1039/c7nr03982d">10.1039/c7nr03982d</a>},
    number={43}, journal={Nanoscale}, publisher={Royal Society of Chemistry (RSC)},
    author={Güsken, Nicholas Alexander and Rieger, Torsten and Zellekens, Patrick
    and Bennemann, Benjamin and Neumann, Elmar and Lepsa, Mihail I. and Schäpers,
    Thomas and Grützmacher, Detlev}, year={2017}, pages={16735–16741} }'
  chicago: 'Güsken, Nicholas Alexander, Torsten Rieger, Patrick Zellekens, Benjamin
    Bennemann, Elmar Neumann, Mihail I. Lepsa, Thomas Schäpers, and Detlev Grützmacher.
    “MBE Growth of Al/InAs and Nb/InAs Superconducting Hybrid Nanowire Structures.”
    <i>Nanoscale</i> 9, no. 43 (2017): 16735–41. <a href="https://doi.org/10.1039/c7nr03982d">https://doi.org/10.1039/c7nr03982d</a>.'
  ieee: 'N. A. Güsken <i>et al.</i>, “MBE growth of Al/InAs and Nb/InAs superconducting
    hybrid nanowire structures,” <i>Nanoscale</i>, vol. 9, no. 43, pp. 16735–16741,
    2017, doi: <a href="https://doi.org/10.1039/c7nr03982d">10.1039/c7nr03982d</a>.'
  mla: Güsken, Nicholas Alexander, et al. “MBE Growth of Al/InAs and Nb/InAs Superconducting
    Hybrid Nanowire Structures.” <i>Nanoscale</i>, vol. 9, no. 43, Royal Society of
    Chemistry (RSC), 2017, pp. 16735–41, doi:<a href="https://doi.org/10.1039/c7nr03982d">10.1039/c7nr03982d</a>.
  short: N.A. Güsken, T. Rieger, P. Zellekens, B. Bennemann, E. Neumann, M.I. Lepsa,
    T. Schäpers, D. Grützmacher, Nanoscale 9 (2017) 16735–16741.
date_created: 2025-04-10T13:23:39Z
date_updated: 2026-01-08T16:08:19Z
doi: 10.1039/c7nr03982d
intvolume: '         9'
issue: '43'
language:
- iso: eng
page: 16735-16741
publication: Nanoscale
publication_identifier:
  issn:
  - 2040-3364
  - 2040-3372
publication_status: published
publisher: Royal Society of Chemistry (RSC)
status: public
title: MBE growth of Al/InAs and Nb/InAs superconducting hybrid nanowire structures
type: journal_article
user_id: '112030'
volume: 9
year: '2017'
...
---
_id: '58786'
author:
- first_name: Robert
  full_name: Wirth, Robert
  id: '43040'
  last_name: Wirth
citation:
  ama: 'Wirth R. Notions of India in A.J. Cronin’s Hatter’s Castle. In: <i>Imperial
    Middlebrow: Cross-Colonial Encounters and Expressions of Power in Middlebrow Literature
    and Culture, 1890-1940</i>. ; 2017.'
  apa: 'Wirth, R. (2017). Notions of India in A.J. Cronin’s Hatter’s Castle. <i>Imperial
    Middlebrow: Cross-Colonial Encounters and Expressions of Power in Middlebrow Literature
    and Culture, 1890-1940</i>.'
  bibtex: '@inproceedings{Wirth_2017, place={University of Reading, England}, title={Notions
    of India in A.J. Cronin’s Hatter’s Castle}, booktitle={Imperial Middlebrow: Cross-colonial
    encounters and expressions of power in middlebrow literature and culture, 1890-1940},
    author={Wirth, Robert}, year={2017} }'
  chicago: 'Wirth, Robert. “Notions of India in A.J. Cronin’s Hatter’s Castle.” In
    <i>Imperial Middlebrow: Cross-Colonial Encounters and Expressions of Power in
    Middlebrow Literature and Culture, 1890-1940</i>. University of Reading, England,
    2017.'
  ieee: R. Wirth, “Notions of India in A.J. Cronin’s Hatter’s Castle,” 2017.
  mla: 'Wirth, Robert. “Notions of India in A.J. Cronin’s Hatter’s Castle.” <i>Imperial
    Middlebrow: Cross-Colonial Encounters and Expressions of Power in Middlebrow Literature
    and Culture, 1890-1940</i>, 2017.'
  short: 'R. Wirth, in: Imperial Middlebrow: Cross-Colonial Encounters and Expressions
    of Power in Middlebrow Literature and Culture, 1890-1940, University of Reading,
    England, 2017.'
date_created: 2025-02-23T16:17:16Z
date_updated: 2026-03-10T16:05:32Z
department:
- _id: '381'
language:
- iso: eng
place: University of Reading, England
publication: 'Imperial Middlebrow: Cross-colonial encounters and expressions of power
  in middlebrow literature and culture, 1890-1940'
status: public
title: Notions of India in A.J. Cronin’s Hatter’s Castle
type: conference
user_id: '43040'
year: '2017'
...
---
_id: '58787'
author:
- first_name: Robert
  full_name: Wirth, Robert
  id: '43040'
  last_name: Wirth
citation:
  ama: 'Wirth R. Putting the ‘Great’ Back Into Great Britain. In: <i>Britain in Europe
    / Europe in Britain</i>. ; 2017.'
  apa: Wirth, R. (2017). Putting the ‘Great’ Back Into Great Britain. <i>Britain in
    Europe / Europe in Britain</i>.
  bibtex: '@inproceedings{Wirth_2017, place={University of Portsmouth, England}, title={Putting
    the ‘Great’ Back Into Great Britain}, booktitle={Britain in Europe / Europe in
    Britain}, author={Wirth, Robert}, year={2017} }'
  chicago: Wirth, Robert. “Putting the ‘Great’ Back Into Great Britain.” In <i>Britain
    in Europe / Europe in Britain</i>. University of Portsmouth, England, 2017.
  ieee: R. Wirth, “Putting the ‘Great’ Back Into Great Britain,” 2017.
  mla: Wirth, Robert. “Putting the ‘Great’ Back Into Great Britain.” <i>Britain in
    Europe / Europe in Britain</i>, 2017.
  short: 'R. Wirth, in: Britain in Europe / Europe in Britain, University of Portsmouth,
    England, 2017.'
date_created: 2025-02-23T16:18:27Z
date_updated: 2026-03-10T16:05:26Z
department:
- _id: '381'
language:
- iso: eng
place: University of Portsmouth, England
publication: Britain in Europe / Europe in Britain
status: public
title: Putting the ‘Great’ Back Into Great Britain
type: conference
user_id: '43040'
year: '2017'
...
---
_id: '58777'
citation:
  ama: Procházka M, Poncarová PJ, eds. <i>Cultural and Textual Appropriation in Alan
    Bissett’s Boyracers</i>. Vol 27.; 2017:101-122.
  apa: 'Cultural and Textual Appropriation in Alan Bissett’s Boyracers. (2017). In
    M. Procházka &#38; P. J. Poncarová (Eds.), <i>Litteraria Pragensia: Studies in
    Literature and Culture</i> (Vol. 27, Issue 53, pp. 101–122).'
  bibtex: '@book{Procházka_Poncarová_2017, title={Cultural and Textual Appropriation
    in Alan Bissett’s Boyracers}, volume={27}, number={53}, journal={Litteraria Pragensia:
    Studies in Literature and Culture}, year={2017}, pages={101–122} }'
  chicago: 'Procházka, Martin, and Petra Johana Poncarová, eds. <i>Cultural and Textual
    Appropriation in Alan Bissett’s Boyracers</i>. <i>Litteraria Pragensia: Studies
    in Literature and Culture</i>. Vol. 27, 2017.'
  ieee: M. Procházka and P. J. Poncarová, Eds., <i>Cultural and Textual Appropriation
    in Alan Bissett’s Boyracers</i>, vol. 27, no. 53. 2017, pp. 101–122.
  mla: 'Procházka, Martin, and Petra Johana Poncarová, editors. “Cultural and Textual
    Appropriation in Alan Bissett’s Boyracers.” <i>Litteraria Pragensia: Studies in
    Literature and Culture</i>, vol. 27, no. 53, 2017, pp. 101–22.'
  short: M. Procházka, P.J. Poncarová, eds., Cultural and Textual Appropriation in
    Alan Bissett’s Boyracers, 2017.
date_created: 2025-02-23T15:52:24Z
date_updated: 2026-03-10T16:09:07Z
department:
- _id: '381'
editor:
- first_name: Martin
  full_name: Procházka, Martin
  last_name: Procházka
- first_name: Petra Johana
  full_name: Poncarová, Petra Johana
  last_name: Poncarová
intvolume: '        27'
issue: '53'
language:
- iso: eng
page: 101-122
publication: 'Litteraria Pragensia: Studies in Literature and Culture'
publication_identifier:
  issn:
  - 0862-8424
publication_status: published
status: public
title: Cultural and Textual Appropriation in Alan Bissett's Boyracers
type: journal_editor
user_id: '43040'
volume: 27
year: '2017'
...
---
_id: '64888'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Manche boranbasierten frustrierten
    Lewis‐Paare spalten Wasserstoff – wie, war bislang unklar. Um Struktur und Reaktivität
    in Beziehung zu setzen, werden quantenchemische Untersuchungen und NMR‐Experimente
    kombiniert. Sind pK<jats:sub>a</jats:sub>‐Werte der Lewis‐Base bekannt, lässt
    sich damit Reaktivität vorhersagen.</jats:p>
author:
- first_name: Jan
  full_name: Paradies, Jan
  id: '53339'
  last_name: Paradies
  orcid: 0000-0002-3698-668X
citation:
  ama: Paradies J. Reaktivität verstehen, ohne die Katalysatorstruktur zu kennen.
    <i>Nachrichten aus der Chemie</i>. 2017;65(2):118-122. doi:<a href="https://doi.org/10.1002/nadc.20174055283">10.1002/nadc.20174055283</a>
  apa: Paradies, J. (2017). Reaktivität verstehen, ohne die Katalysatorstruktur zu
    kennen. <i>Nachrichten Aus Der Chemie</i>, <i>65</i>(2), 118–122. <a href="https://doi.org/10.1002/nadc.20174055283">https://doi.org/10.1002/nadc.20174055283</a>
  bibtex: '@article{Paradies_2017, title={Reaktivität verstehen, ohne die Katalysatorstruktur
    zu kennen}, volume={65}, DOI={<a href="https://doi.org/10.1002/nadc.20174055283">10.1002/nadc.20174055283</a>},
    number={2}, journal={Nachrichten aus der Chemie}, publisher={Wiley}, author={Paradies,
    Jan}, year={2017}, pages={118–122} }'
  chicago: 'Paradies, Jan. “Reaktivität Verstehen, Ohne Die Katalysatorstruktur Zu
    Kennen.” <i>Nachrichten Aus Der Chemie</i> 65, no. 2 (2017): 118–22. <a href="https://doi.org/10.1002/nadc.20174055283">https://doi.org/10.1002/nadc.20174055283</a>.'
  ieee: 'J. Paradies, “Reaktivität verstehen, ohne die Katalysatorstruktur zu kennen,”
    <i>Nachrichten aus der Chemie</i>, vol. 65, no. 2, pp. 118–122, 2017, doi: <a
    href="https://doi.org/10.1002/nadc.20174055283">10.1002/nadc.20174055283</a>.'
  mla: Paradies, Jan. “Reaktivität Verstehen, Ohne Die Katalysatorstruktur Zu Kennen.”
    <i>Nachrichten Aus Der Chemie</i>, vol. 65, no. 2, Wiley, 2017, pp. 118–22, doi:<a
    href="https://doi.org/10.1002/nadc.20174055283">10.1002/nadc.20174055283</a>.
  short: J. Paradies, Nachrichten Aus Der Chemie 65 (2017) 118–122.
date_created: 2026-03-11T10:15:53Z
date_updated: 2026-03-11T10:15:59Z
department:
- _id: '2'
- _id: '389'
doi: 10.1002/nadc.20174055283
intvolume: '        65'
issue: '2'
language:
- iso: eng
page: 118-122
publication: Nachrichten aus der Chemie
publication_identifier:
  issn:
  - 1439-9598
  - 1868-0054
publication_status: published
publisher: Wiley
status: public
title: Reaktivität verstehen, ohne die Katalysatorstruktur zu kennen
type: journal_article
user_id: '53339'
volume: 65
year: '2017'
...
---
_id: '64899'
author:
- first_name: Bernd F.
  full_name: Straub, Bernd F.
  last_name: Straub
- first_name: Jennifer
  full_name: Andexer, Jennifer
  last_name: Andexer
- first_name: Christoph
  full_name: Arenz, Christoph
  last_name: Arenz
- first_name: Uwe
  full_name: Beifuss, Uwe
  last_name: Beifuss
- first_name: Florian
  full_name: Beuerle, Florian
  last_name: Beuerle
- first_name: Malte
  full_name: Brasholz, Malte
  last_name: Brasholz
- first_name: Rolf
  full_name: Breinbauer, Rolf
  last_name: Breinbauer
- first_name: Klaus
  full_name: Ditrich, Klaus
  last_name: Ditrich
- first_name: Tobias A. M.
  full_name: Gulder, Tobias A. M.
  last_name: Gulder
- first_name: Wolfgang
  full_name: Hüttel, Wolfgang
  last_name: Hüttel
- first_name: Markus
  full_name: Kordes, Markus
  last_name: Kordes
- first_name: Anke
  full_name: Krueger, Anke
  last_name: Krueger
- first_name: Matthias
  full_name: Lehmann, Matthias
  last_name: Lehmann
- first_name: Thomas
  full_name: Lindel, Thomas
  last_name: Lindel
- first_name: Burkhard
  full_name: Luy, Burkhard
  last_name: Luy
- first_name: Michael A. R.
  full_name: Meier, Michael A. R.
  last_name: Meier
- first_name: Christian
  full_name: Mück-Lichtenfeld, Christian
  last_name: Mück-Lichtenfeld
- first_name: Claudia
  full_name: Muhle-Goll, Claudia
  last_name: Muhle-Goll
- first_name: Thomas J. J.
  full_name: Müller, Thomas J. J.
  last_name: Müller
- first_name: Arun
  full_name: Narine, Arun
  last_name: Narine
- first_name: Jan
  full_name: Paradies, Jan
  id: '53339'
  last_name: Paradies
  orcid: 0000-0002-3698-668X
- first_name: Roland
  full_name: Pfau, Roland
  last_name: Pfau
- first_name: Jörg
  full_name: Pietruszka, Jörg
  last_name: Pietruszka
- first_name: Norbert
  full_name: Schaschke, Norbert
  last_name: Schaschke
- first_name: Mathias O.
  full_name: Senge, Mathias O.
  last_name: Senge
- first_name: Thomas
  full_name: Werner, Thomas
  last_name: Werner
- first_name: Daniel B.
  full_name: Werz, Daniel B.
  last_name: Werz
- first_name: Christian A.
  full_name: Winter, Christian A.
  last_name: Winter
- first_name: Dennis
  full_name: Worgull, Dennis
  last_name: Worgull
citation:
  ama: Straub BF, Andexer J, Arenz C, et al. Organische Chemie 2016. <i>Nachrichten
    aus der Chemie</i>. 2017;65(3):266-304. doi:<a href="https://doi.org/10.1002/nadc.20174059831">10.1002/nadc.20174059831</a>
  apa: Straub, B. F., Andexer, J., Arenz, C., Beifuss, U., Beuerle, F., Brasholz,
    M., Breinbauer, R., Ditrich, K., Gulder, T. A. M., Hüttel, W., Kordes, M., Krueger,
    A., Lehmann, M., Lindel, T., Luy, B., Meier, M. A. R., Mück-Lichtenfeld, C., Muhle-Goll,
    C., Müller, T. J. J., … Worgull, D. (2017). Organische Chemie 2016. <i>Nachrichten
    Aus Der Chemie</i>, <i>65</i>(3), 266–304. <a href="https://doi.org/10.1002/nadc.20174059831">https://doi.org/10.1002/nadc.20174059831</a>
  bibtex: '@article{Straub_Andexer_Arenz_Beifuss_Beuerle_Brasholz_Breinbauer_Ditrich_Gulder_Hüttel_et
    al._2017, title={Organische Chemie 2016}, volume={65}, DOI={<a href="https://doi.org/10.1002/nadc.20174059831">10.1002/nadc.20174059831</a>},
    number={3}, journal={Nachrichten aus der Chemie}, publisher={Wiley}, author={Straub,
    Bernd F. and Andexer, Jennifer and Arenz, Christoph and Beifuss, Uwe and Beuerle,
    Florian and Brasholz, Malte and Breinbauer, Rolf and Ditrich, Klaus and Gulder,
    Tobias A. M. and Hüttel, Wolfgang and et al.}, year={2017}, pages={266–304} }'
  chicago: 'Straub, Bernd F., Jennifer Andexer, Christoph Arenz, Uwe Beifuss, Florian
    Beuerle, Malte Brasholz, Rolf Breinbauer, et al. “Organische Chemie 2016.” <i>Nachrichten
    Aus Der Chemie</i> 65, no. 3 (2017): 266–304. <a href="https://doi.org/10.1002/nadc.20174059831">https://doi.org/10.1002/nadc.20174059831</a>.'
  ieee: 'B. F. Straub <i>et al.</i>, “Organische Chemie 2016,” <i>Nachrichten aus
    der Chemie</i>, vol. 65, no. 3, pp. 266–304, 2017, doi: <a href="https://doi.org/10.1002/nadc.20174059831">10.1002/nadc.20174059831</a>.'
  mla: Straub, Bernd F., et al. “Organische Chemie 2016.” <i>Nachrichten Aus Der Chemie</i>,
    vol. 65, no. 3, Wiley, 2017, pp. 266–304, doi:<a href="https://doi.org/10.1002/nadc.20174059831">10.1002/nadc.20174059831</a>.
  short: B.F. Straub, J. Andexer, C. Arenz, U. Beifuss, F. Beuerle, M. Brasholz, R.
    Breinbauer, K. Ditrich, T.A.M. Gulder, W. Hüttel, M. Kordes, A. Krueger, M. Lehmann,
    T. Lindel, B. Luy, M.A.R. Meier, C. Mück-Lichtenfeld, C. Muhle-Goll, T.J.J. Müller,
    A. Narine, J. Paradies, R. Pfau, J. Pietruszka, N. Schaschke, M.O. Senge, T. Werner,
    D.B. Werz, C.A. Winter, D. Worgull, Nachrichten Aus Der Chemie 65 (2017) 266–304.
date_created: 2026-03-11T10:25:45Z
date_updated: 2026-03-11T10:26:39Z
department:
- _id: '2'
- _id: '389'
doi: 10.1002/nadc.20174059831
intvolume: '        65'
issue: '3'
language:
- iso: eng
page: 266-304
publication: Nachrichten aus der Chemie
publication_identifier:
  issn:
  - 1439-9598
publication_status: published
publisher: Wiley
status: public
title: Organische Chemie 2016
type: journal_article
user_id: '53339'
volume: 65
year: '2017'
...
---
_id: '64900'
author:
- first_name: Jan
  full_name: Paradies, Jan
  id: '53339'
  last_name: Paradies
  orcid: 0000-0002-3698-668X
citation:
  ama: 'Paradies J. Chiral Borane-Based Lewis Acids for Metal Free Hydrogenations.
    In: <i>Topics in Organometallic Chemistry</i>. Springer International Publishing;
    2017. doi:<a href="https://doi.org/10.1007/3418_2016_173">10.1007/3418_2016_173</a>'
  apa: Paradies, J. (2017). Chiral Borane-Based Lewis Acids for Metal Free Hydrogenations.
    In <i>Topics in Organometallic Chemistry</i>. Springer International Publishing.
    <a href="https://doi.org/10.1007/3418_2016_173">https://doi.org/10.1007/3418_2016_173</a>
  bibtex: '@inbook{Paradies_2017, place={Cham}, title={Chiral Borane-Based Lewis Acids
    for Metal Free Hydrogenations}, DOI={<a href="https://doi.org/10.1007/3418_2016_173">10.1007/3418_2016_173</a>},
    booktitle={Topics in Organometallic Chemistry}, publisher={Springer International
    Publishing}, author={Paradies, Jan}, year={2017} }'
  chicago: 'Paradies, Jan. “Chiral Borane-Based Lewis Acids for Metal Free Hydrogenations.”
    In <i>Topics in Organometallic Chemistry</i>. Cham: Springer International Publishing,
    2017. <a href="https://doi.org/10.1007/3418_2016_173">https://doi.org/10.1007/3418_2016_173</a>.'
  ieee: 'J. Paradies, “Chiral Borane-Based Lewis Acids for Metal Free Hydrogenations,”
    in <i>Topics in Organometallic Chemistry</i>, Cham: Springer International Publishing,
    2017.'
  mla: Paradies, Jan. “Chiral Borane-Based Lewis Acids for Metal Free Hydrogenations.”
    <i>Topics in Organometallic Chemistry</i>, Springer International Publishing,
    2017, doi:<a href="https://doi.org/10.1007/3418_2016_173">10.1007/3418_2016_173</a>.
  short: 'J. Paradies, in: Topics in Organometallic Chemistry, Springer International
    Publishing, Cham, 2017.'
date_created: 2026-03-11T10:30:16Z
date_updated: 2026-03-11T10:34:43Z
department:
- _id: '2'
- _id: '389'
doi: 10.1007/3418_2016_173
language:
- iso: eng
place: Cham
publication: Topics in Organometallic Chemistry
publication_identifier:
  isbn:
  - '9783319708041'
  - '9783319708065'
  issn:
  - 1436-6002
  - 1616-8534
publication_status: published
publisher: Springer International Publishing
status: public
title: Chiral Borane-Based Lewis Acids for Metal Free Hydrogenations
type: book_chapter
user_id: '53339'
year: '2017'
...
---
_id: '64964'
author:
- first_name: Katharina Ulrike
  full_name: Mersch, Katharina Ulrike
  id: '125834'
  last_name: Mersch
  orcid: 0009-0003-0843-1868
citation:
  ama: Mersch KU. Franz-Josef Arlinghaus (Ed.), Forms of Individuality and Literacy
    in the Medieval and Early Modern Periods, Turnhout, Brepols Publishers, 2015.
    <i>Historische Zeitschrift</i>. 2017;304(2):432-433.
  apa: Mersch, K. U. (2017). Franz-Josef Arlinghaus (Ed.), Forms of Individuality
    and Literacy in the Medieval and Early Modern Periods, Turnhout, Brepols Publishers,
    2015. In <i>Historische Zeitschrift</i> (Vol. 304, Issue 2, pp. 432–433).
  bibtex: '@article{Mersch_2017, title={Franz-Josef Arlinghaus (Ed.), Forms of Individuality
    and Literacy in the Medieval and Early Modern Periods, Turnhout, Brepols Publishers,
    2015}, volume={304}, number={2}, journal={Historische Zeitschrift}, author={Mersch,
    Katharina Ulrike}, year={2017}, pages={432–433} }'
  chicago: Mersch, Katharina Ulrike. “Franz-Josef Arlinghaus (Ed.), Forms of Individuality
    and Literacy in the Medieval and Early Modern Periods, Turnhout, Brepols Publishers,
    2015.” <i>Historische Zeitschrift</i>, 2017.
  ieee: K. U. Mersch, “Franz-Josef Arlinghaus (Ed.), Forms of Individuality and Literacy
    in the Medieval and Early Modern Periods, Turnhout, Brepols Publishers, 2015,”
    <i>Historische Zeitschrift</i>, vol. 304, no. 2. pp. 432–433, 2017.
  mla: Mersch, Katharina Ulrike. “Franz-Josef Arlinghaus (Ed.), Forms of Individuality
    and Literacy in the Medieval and Early Modern Periods, Turnhout, Brepols Publishers,
    2015.” <i>Historische Zeitschrift</i>, vol. 304, no. 2, 2017, pp. 432–33.
  short: K.U. Mersch, Historische Zeitschrift 304 (2017) 432–433.
date_created: 2026-03-15T16:03:18Z
date_updated: 2026-03-15T16:03:23Z
extern: '1'
intvolume: '       304'
issue: '2'
language:
- iso: ger
page: 432-433
publication: Historische Zeitschrift
publication_status: published
status: public
title: Franz-Josef Arlinghaus (Ed.), Forms of Individuality and Literacy in the Medieval
  and Early Modern Periods, Turnhout, Brepols Publishers, 2015
type: review
user_id: '125834'
volume: 304
year: '2017'
...
---
_id: '65320'
author:
- first_name: Kerstin
  full_name: Droß-Krüpe, Kerstin
  id: '125711'
  last_name: Droß-Krüpe
citation:
  ama: 'Droß-Krüpe K. Businessmen and Local Elites in the Lycos Valley. In: Heldaas
    Seland E, Teigen H, eds. <i>Sinews of Empire: Networks and Regional Interaction
    in the Roman Near East and Beyond</i>. ; 2017:155-165.'
  apa: 'Droß-Krüpe, K. (2017). Businessmen and Local Elites in the Lycos Valley. In
    E. Heldaas Seland &#38; H. Teigen (Eds.), <i>Sinews of Empire: Networks and Regional
    Interaction in the Roman Near East and Beyond</i> (pp. 155–165).'
  bibtex: '@inbook{Droß-Krüpe_2017, place={Oxford}, title={Businessmen and Local Elites
    in the Lycos Valley}, booktitle={Sinews of Empire: Networks and Regional Interaction
    in the Roman Near East and Beyond}, author={Droß-Krüpe, Kerstin}, editor={Heldaas
    Seland, E. and Teigen, H.}, year={2017}, pages={155–165} }'
  chicago: 'Droß-Krüpe, Kerstin. “Businessmen and Local Elites in the Lycos Valley.”
    In <i>Sinews of Empire: Networks and Regional Interaction in the Roman Near East
    and Beyond</i>, edited by E. Heldaas Seland and H. Teigen, 155–65. Oxford, 2017.'
  ieee: 'K. Droß-Krüpe, “Businessmen and Local Elites in the Lycos Valley,” in <i>Sinews
    of Empire: Networks and Regional Interaction in the Roman Near East and Beyond</i>,
    E. Heldaas Seland and H. Teigen, Eds. Oxford, 2017, pp. 155–165.'
  mla: 'Droß-Krüpe, Kerstin. “Businessmen and Local Elites in the Lycos Valley.” <i>Sinews
    of Empire: Networks and Regional Interaction in the Roman Near East and Beyond</i>,
    edited by E. Heldaas Seland and H. Teigen, 2017, pp. 155–65.'
  short: 'K. Droß-Krüpe, in: E. Heldaas Seland, H. Teigen (Eds.), Sinews of Empire:
    Networks and Regional Interaction in the Roman Near East and Beyond, Oxford, 2017,
    pp. 155–165.'
date_created: 2026-04-02T08:45:07Z
date_updated: 2026-04-02T15:34:21Z
editor:
- first_name: E.
  full_name: Heldaas Seland, E.
  last_name: Heldaas Seland
- first_name: H.
  full_name: Teigen, H.
  last_name: Teigen
extern: '1'
language:
- iso: eng
page: 155-165
place: Oxford
publication: 'Sinews of Empire: Networks and Regional Interaction in the Roman Near
  East and Beyond'
publication_status: published
quality_controlled: '1'
status: public
title: Businessmen and Local Elites in the Lycos Valley
type: book_chapter
user_id: '125711'
year: '2017'
...
---
_id: '65321'
author:
- first_name: Kerstin
  full_name: Droß-Krüpe, Kerstin
  id: '125711'
  last_name: Droß-Krüpe
citation:
  ama: 'Droß-Krüpe K. Great Women on Stage. The Reception of Women Monarchs from Antiquity
    in Baroque Opera. In: Droß-Krüpe K, ed. <i>Great Women on Stage. The Reception
    of Women Monarchs from Antiquity in Baroque Opera</i>. ; 2017:9-16.'
  apa: Droß-Krüpe, K. (2017). Great Women on Stage. The Reception of Women Monarchs
    from Antiquity in Baroque Opera. In K. Droß-Krüpe (Ed.), <i>Great Women on Stage.
    The Reception of Women Monarchs from Antiquity in Baroque Opera</i> (pp. 9–16).
  bibtex: '@inbook{Droß-Krüpe_2017, place={Wiesbaden}, title={Great Women on Stage.
    The Reception of Women Monarchs from Antiquity in Baroque Opera}, booktitle={Great
    Women on Stage. The Reception of Women Monarchs from Antiquity in Baroque Opera},
    author={Droß-Krüpe, Kerstin}, editor={Droß-Krüpe, K.}, year={2017}, pages={9–16}
    }'
  chicago: Droß-Krüpe, Kerstin. “Great Women on Stage. The Reception of Women Monarchs
    from Antiquity in Baroque Opera.” In <i>Great Women on Stage. The Reception of
    Women Monarchs from Antiquity in Baroque Opera</i>, edited by K. Droß-Krüpe, 9–16.
    Wiesbaden, 2017.
  ieee: K. Droß-Krüpe, “Great Women on Stage. The Reception of Women Monarchs from
    Antiquity in Baroque Opera,” in <i>Great Women on Stage. The Reception of Women
    Monarchs from Antiquity in Baroque Opera</i>, K. Droß-Krüpe, Ed. Wiesbaden, 2017,
    pp. 9–16.
  mla: Droß-Krüpe, Kerstin. “Great Women on Stage. The Reception of Women Monarchs
    from Antiquity in Baroque Opera.” <i>Great Women on Stage. The Reception of Women
    Monarchs from Antiquity in Baroque Opera</i>, edited by K. Droß-Krüpe, 2017, pp.
    9–16.
  short: 'K. Droß-Krüpe, in: K. Droß-Krüpe (Ed.), Great Women on Stage. The Reception
    of Women Monarchs from Antiquity in Baroque Opera, Wiesbaden, 2017, pp. 9–16.'
date_created: 2026-04-02T08:47:25Z
date_updated: 2026-04-02T15:34:04Z
editor:
- first_name: K.
  full_name: Droß-Krüpe, K.
  last_name: Droß-Krüpe
extern: '1'
language:
- iso: eng
page: 9-16
place: Wiesbaden
publication: Great Women on Stage. The Reception of Women Monarchs from Antiquity
  in Baroque Opera
publication_status: published
status: public
title: Great Women on Stage. The Reception of Women Monarchs from Antiquity in Baroque
  Opera
type: book_chapter
user_id: '126800'
year: '2017'
...
---
_id: '65319'
author:
- first_name: Kerstin
  full_name: Droß-Krüpe, Kerstin
  id: '125711'
  last_name: Droß-Krüpe
- first_name: 'John Peter '
  full_name: 'Wild, John Peter '
  last_name: Wild
citation:
  ama: 'Droß-Krüpe K, Wild JP. Ars polymita, ars plumaria: the Weaving Terminology
    of Taqueté and Tapestry. In: Nosch M-L, Michel C, Gaspa S, eds. <i>Textile Terminologies
    from the Orient to the Mediterranean and Europe 1000 BC - AD 1000</i>. ; 2017:301-320.'
  apa: 'Droß-Krüpe, K., &#38; Wild, J. P. (2017). Ars polymita, ars plumaria: the
    Weaving Terminology of Taqueté and Tapestry. In M.-L. Nosch, C. Michel, &#38;
    S. Gaspa (Eds.), <i>Textile Terminologies from the Orient to the Mediterranean
    and Europe 1000 BC - AD 1000</i> (pp. 301–320).'
  bibtex: '@inbook{Droß-Krüpe_Wild_2017, place={Lincoln / London}, title={Ars polymita,
    ars plumaria: the Weaving Terminology of Taqueté and Tapestry}, booktitle={Textile
    Terminologies from the Orient to the Mediterranean and Europe 1000 BC - AD 1000},
    author={Droß-Krüpe, Kerstin and Wild, John Peter }, editor={Nosch, M.-L. and Michel,
    C. and Gaspa, S.}, year={2017}, pages={301–320} }'
  chicago: 'Droß-Krüpe, Kerstin, and John Peter  Wild. “Ars Polymita, Ars Plumaria:
    The Weaving Terminology of Taqueté and Tapestry.” In <i>Textile Terminologies
    from the Orient to the Mediterranean and Europe 1000 BC - AD 1000</i>, edited
    by M.-L. Nosch, C. Michel, and S. Gaspa, 301–20. Lincoln / London, 2017.'
  ieee: 'K. Droß-Krüpe and J. P. Wild, “Ars polymita, ars plumaria: the Weaving Terminology
    of Taqueté and Tapestry,” in <i>Textile Terminologies from the Orient to the Mediterranean
    and Europe 1000 BC - AD 1000</i>, M.-L. Nosch, C. Michel, and S. Gaspa, Eds. Lincoln
    / London, 2017, pp. 301–320.'
  mla: 'Droß-Krüpe, Kerstin, and John Peter Wild. “Ars Polymita, Ars Plumaria: The
    Weaving Terminology of Taqueté and Tapestry.” <i>Textile Terminologies from the
    Orient to the Mediterranean and Europe 1000 BC - AD 1000</i>, edited by M.-L.
    Nosch et al., 2017, pp. 301–20.'
  short: 'K. Droß-Krüpe, J.P. Wild, in: M.-L. Nosch, C. Michel, S. Gaspa (Eds.), Textile
    Terminologies from the Orient to the Mediterranean and Europe 1000 BC - AD 1000,
    Lincoln / London, 2017, pp. 301–320.'
date_created: 2026-04-02T08:37:26Z
date_updated: 2026-04-02T15:35:08Z
editor:
- first_name: M.-L.
  full_name: Nosch, M.-L.
  last_name: Nosch
- first_name: C.
  full_name: Michel, C.
  last_name: Michel
- first_name: S.
  full_name: Gaspa, S.
  last_name: Gaspa
extern: '1'
language:
- iso: eng
page: 301-320
place: Lincoln / London
publication: Textile Terminologies from the Orient to the Mediterranean and Europe
  1000 BC - AD 1000
publication_status: published
quality_controlled: '1'
status: public
title: 'Ars polymita, ars plumaria: the Weaving Terminology of Taqueté and Tapestry'
type: book_chapter
user_id: '125711'
year: '2017'
...
---
_id: '65318'
author:
- first_name: Kerstin
  full_name: Droß-Krüpe, Kerstin
  id: '125711'
  last_name: Droß-Krüpe
citation:
  ama: 'Droß-Krüpe K. χιτών - δαλματική - μαφόρτης - σύνθεσις. Common and Uncommon
    Garment Terms in Roman Egypt. In: Nosch M-L, Michel C, Gaspa S, eds. <i>Textile
    Terminologies from the Orient to the Mediterranean and Europe 1000 BC - AD 1000</i>.
    ; 2017:295-300.'
  apa: Droß-Krüpe, K. (2017). χιτών - δαλματική - μαφόρτης - σύνθεσις. Common and
    Uncommon Garment Terms in Roman Egypt. In M.-L. Nosch, C. Michel, &#38; S. Gaspa
    (Eds.), <i>Textile Terminologies from the Orient to the Mediterranean and Europe
    1000 BC - AD 1000</i> (pp. 295–300).
  bibtex: '@inbook{Droß-Krüpe_2017, place={Lincoln / London}, title={χιτών - δαλματική
    - μαφόρτης - σύνθεσις. Common and Uncommon Garment Terms in Roman Egypt}, booktitle={Textile
    Terminologies from the Orient to the Mediterranean and Europe 1000 BC - AD 1000},
    author={Droß-Krüpe, Kerstin}, editor={Nosch, M.-L. and Michel, C. and Gaspa, S.},
    year={2017}, pages={295–300} }'
  chicago: Droß-Krüpe, Kerstin. “Χιτών - Δαλματική - Μαφόρτης - Σύνθεσις. Common and
    Uncommon Garment Terms in Roman Egypt.” In <i>Textile Terminologies from the Orient
    to the Mediterranean and Europe 1000 BC - AD 1000</i>, edited by M.-L. Nosch,
    C. Michel, and S. Gaspa, 295–300. Lincoln / London, 2017.
  ieee: K. Droß-Krüpe, “χιτών - δαλματική - μαφόρτης - σύνθεσις. Common and Uncommon
    Garment Terms in Roman Egypt,” in <i>Textile Terminologies from the Orient to
    the Mediterranean and Europe 1000 BC - AD 1000</i>, M.-L. Nosch, C. Michel, and
    S. Gaspa, Eds. Lincoln / London, 2017, pp. 295–300.
  mla: Droß-Krüpe, Kerstin. “Χιτών - Δαλματική - Μαφόρτης - Σύνθεσις. Common and Uncommon
    Garment Terms in Roman Egypt.” <i>Textile Terminologies from the Orient to the
    Mediterranean and Europe 1000 BC - AD 1000</i>, edited by M.-L. Nosch et al.,
    2017, pp. 295–300.
  short: 'K. Droß-Krüpe, in: M.-L. Nosch, C. Michel, S. Gaspa (Eds.), Textile Terminologies
    from the Orient to the Mediterranean and Europe 1000 BC - AD 1000, Lincoln / London,
    2017, pp. 295–300.'
date_created: 2026-04-02T08:33:10Z
date_updated: 2026-04-02T15:35:42Z
editor:
- first_name: M.-L.
  full_name: Nosch, M.-L.
  last_name: Nosch
- first_name: C.
  full_name: Michel, C.
  last_name: Michel
- first_name: S.
  full_name: Gaspa, S.
  last_name: Gaspa
extern: '1'
language:
- iso: eng
page: 295-300
place: Lincoln / London
publication: Textile Terminologies from the Orient to the Mediterranean and Europe
  1000 BC - AD 1000
quality_controlled: '1'
status: public
title: χιτών - δαλματική - μαφόρτης - σύνθεσις. Common and Uncommon Garment Terms
  in Roman Egypt
type: book_chapter
user_id: '125711'
year: '2017'
...
---
_id: '65317'
author:
- first_name: Kerstin
  full_name: Droß-Krüpe, Kerstin
  id: '125711'
  last_name: Droß-Krüpe
citation:
  ama: Droß-Krüpe K. Die Pacht von gewerblichen Räumen im römischen Ägypten - Prinzipale
    und Agenten? <i>MBAH</i>. 2017;35:109-122.
  apa: Droß-Krüpe, K. (2017). Die Pacht von gewerblichen Räumen im römischen Ägypten
    - Prinzipale und Agenten? <i>MBAH</i>, <i>35</i>, 109–122.
  bibtex: '@article{Droß-Krüpe_2017, title={Die Pacht von gewerblichen Räumen im römischen
    Ägypten - Prinzipale und Agenten?}, volume={35}, journal={MBAH}, author={Droß-Krüpe,
    Kerstin}, year={2017}, pages={109–122} }'
  chicago: 'Droß-Krüpe, Kerstin. “Die Pacht von gewerblichen Räumen im römischen Ägypten
    - Prinzipale und Agenten?” <i>MBAH</i> 35 (2017): 109–22.'
  ieee: K. Droß-Krüpe, “Die Pacht von gewerblichen Räumen im römischen Ägypten - Prinzipale
    und Agenten?,” <i>MBAH</i>, vol. 35, pp. 109–122, 2017.
  mla: Droß-Krüpe, Kerstin. “Die Pacht von gewerblichen Räumen im römischen Ägypten
    - Prinzipale und Agenten?” <i>MBAH</i>, vol. 35, 2017, pp. 109–22.
  short: K. Droß-Krüpe, MBAH 35 (2017) 109–122.
date_created: 2026-04-02T08:29:43Z
date_updated: 2026-04-02T15:35:26Z
extern: '1'
intvolume: '        35'
language:
- iso: ger
page: 109-122
publication: MBAH
publication_status: published
quality_controlled: '1'
status: public
title: Die Pacht von gewerblichen Räumen im römischen Ägypten - Prinzipale und Agenten?
type: journal_article
user_id: '125711'
volume: 35
year: '2017'
...
