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Sloane (Eds.), ZBW-Beiheft: Betriebliche Berufsbildungsforschung, 2022.","mla":"Krause, Ina. “Distanzarbeit Als Impulsgeber Beruflicher Weiterbildung. Zur Bedeutung von Neuen Schlüsselkompetenzen Und Weiterbildung Im Strukturwandels von Büroarbeitswelten in Und Nach Der Corona-Pandemie.” <i>ZBW-Beiheft: Betriebliche Berufsbildungsforschung</i>, edited by Lutz  Bellmann et al., 2022.","apa":"Krause, I. (2022). Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie. In L. Bellmann, H. Ertl, C. Gerhards, &#38; P. Sloane (Eds.), <i>ZBW-Beiheft: Betriebliche Berufsbildungsforschung</i>.","chicago":"Krause, Ina. “Distanzarbeit Als Impulsgeber Beruflicher Weiterbildung. Zur Bedeutung von Neuen Schlüsselkompetenzen Und Weiterbildung Im Strukturwandels von Büroarbeitswelten in Und Nach Der Corona-Pandemie.” In <i>ZBW-Beiheft: Betriebliche Berufsbildungsforschung</i>, edited by Lutz  Bellmann, Hubert Ertl, Christian Gerhards, and Peter Sloane, 2022.","ieee":"I. Krause, “Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie,” in <i>ZBW-Beiheft: Betriebliche Berufsbildungsforschung</i>, L. Bellmann, H. Ertl, C. Gerhards, and P. Sloane, Eds. 2022.","ama":"Krause I. Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie. In: Bellmann L, Ertl H, Gerhards C, Sloane P, eds. <i>ZBW-Beiheft: Betriebliche Berufsbildungsforschung</i>. ; 2022."},"status":"public","date_updated":"2024-04-03T11:27:18Z","_id":"53174","author":[{"last_name":"Krause","orcid":"0000-0003-0170-7713","full_name":"Krause, Ina","id":"105654","first_name":"Ina"}],"user_id":"105654","date_created":"2024-04-03T11:27:03Z","title":"Distanzarbeit als Impulsgeber beruflicher Weiterbildung. Zur Bedeutung von neuen Schlüsselkompetenzen und Weiterbildung im Strukturwandels von Büroarbeitswelten in und nach der Corona-Pandemie","language":[{"iso":"eng"}]},{"publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783031069802","9783031069819"]},"publication_status":"published","related_material":{"link":[{"relation":"confirmation","url":"https://link.springer.com/chapter/10.1007/978-3-031-06981-9_14"}]},"place":"Cham","year":"2022","citation":{"bibtex":"@inbook{KOUAGOU_Heindorf_Demir_Ngonga Ngomo_2022, place={Cham}, title={Learning Concept Lengths Accelerates Concept Learning in ALC}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">10.1007/978-3-031-06981-9_14</a>}, booktitle={The Semantic Web}, publisher={Springer International Publishing}, author={KOUAGOU, N’Dah Jean and Heindorf, Stefan and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}, year={2022} }","short":"N.J. KOUAGOU, S. Heindorf, C. Demir, A.-C. Ngonga Ngomo, in: The Semantic Web, Springer International Publishing, Cham, 2022.","mla":"KOUAGOU, N’Dah Jean, et al. “Learning Concept Lengths Accelerates Concept Learning in ALC.” <i>The Semantic Web</i>, Springer International Publishing, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">10.1007/978-3-031-06981-9_14</a>.","apa":"KOUAGOU, N. J., Heindorf, S., Demir, C., &#38; Ngonga Ngomo, A.-C. (2022). Learning Concept Lengths Accelerates Concept Learning in ALC. In <i>The Semantic Web</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">https://doi.org/10.1007/978-3-031-06981-9_14</a>","ama":"KOUAGOU NJ, Heindorf S, Demir C, Ngonga Ngomo A-C. Learning Concept Lengths Accelerates Concept Learning in ALC. In: <i>The Semantic Web</i>. Springer International Publishing; 2022. doi:<a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">10.1007/978-3-031-06981-9_14</a>","ieee":"N. J. KOUAGOU, S. Heindorf, C. Demir, and A.-C. 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Rate Splitting in MIMO RIS-Assisted Systems With Hardware Impairments and Improper Signaling. <i>IEEE Transactions on Vehicular Technology</i>. 2022;72(4):4580-4597. doi:<a href=\"https://doi.org/10.1109/tvt.2022.3222633\">10.1109/tvt.2022.3222633</a>","chicago":"Soleymani, Mohammad, Ignacio Santamaria, and Eduard A. Jorswieck. “Rate Splitting in MIMO RIS-Assisted Systems With Hardware Impairments and Improper Signaling.” <i>IEEE Transactions on Vehicular Technology</i> 72, no. 4 (2022): 4580–97. <a href=\"https://doi.org/10.1109/tvt.2022.3222633\">https://doi.org/10.1109/tvt.2022.3222633</a>.","ieee":"M. Soleymani, I. Santamaria, and E. A. Jorswieck, “Rate Splitting in MIMO RIS-Assisted Systems With Hardware Impairments and Improper Signaling,” <i>IEEE Transactions on Vehicular Technology</i>, vol. 72, no. 4, pp. 4580–4597, 2022, doi: <a href=\"https://doi.org/10.1109/tvt.2022.3222633\">10.1109/tvt.2022.3222633</a>.","mla":"Soleymani, Mohammad, et al. “Rate Splitting in MIMO RIS-Assisted Systems With Hardware Impairments and Improper Signaling.” <i>IEEE Transactions on Vehicular Technology</i>, vol. 72, no. 4, Institute of Electrical and Electronics Engineers (IEEE), 2022, pp. 4580–97, doi:<a href=\"https://doi.org/10.1109/tvt.2022.3222633\">10.1109/tvt.2022.3222633</a>.","short":"M. Soleymani, I. Santamaria, E.A. Jorswieck, IEEE Transactions on Vehicular Technology 72 (2022) 4580–4597.","bibtex":"@article{Soleymani_Santamaria_Jorswieck_2022, title={Rate Splitting in MIMO RIS-Assisted Systems With Hardware Impairments and Improper Signaling}, volume={72}, DOI={<a href=\"https://doi.org/10.1109/tvt.2022.3222633\">10.1109/tvt.2022.3222633</a>}, number={4}, journal={IEEE Transactions on Vehicular Technology}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard A.}, year={2022}, pages={4580–4597} }","apa":"Soleymani, M., Santamaria, I., &#38; Jorswieck, E. A. (2022). Rate Splitting in MIMO RIS-Assisted Systems With Hardware Impairments and Improper Signaling. <i>IEEE Transactions on Vehicular Technology</i>, <i>72</i>(4), 4580–4597. <a href=\"https://doi.org/10.1109/tvt.2022.3222633\">https://doi.org/10.1109/tvt.2022.3222633</a>"},"intvolume":"        72","page":"4580-4597","year":"2022"},{"year":"2022","citation":{"chicago":"Soleymani, Mohammad, Ignacio Santamaria, and Peter J. Schreier. “Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance.” <i>IEEE Transactions on Green Communications and Networking</i> 6, no. 2 (2022): 723–38. <a href=\"https://doi.org/10.1109/tgcn.2021.3140150\">https://doi.org/10.1109/tgcn.2021.3140150</a>.","ieee":"M. Soleymani, I. Santamaria, and P. J. Schreier, “Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance,” <i>IEEE Transactions on Green Communications and Networking</i>, vol. 6, no. 2, pp. 723–738, 2022, doi: <a href=\"https://doi.org/10.1109/tgcn.2021.3140150\">10.1109/tgcn.2021.3140150</a>.","ama":"Soleymani M, Santamaria I, Schreier PJ. Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance. <i>IEEE Transactions on Green Communications and Networking</i>. 2022;6(2):723-738. doi:<a href=\"https://doi.org/10.1109/tgcn.2021.3140150\">10.1109/tgcn.2021.3140150</a>","apa":"Soleymani, M., Santamaria, I., &#38; Schreier, P. J. (2022). Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance. <i>IEEE Transactions on Green Communications and Networking</i>, <i>6</i>(2), 723–738. <a href=\"https://doi.org/10.1109/tgcn.2021.3140150\">https://doi.org/10.1109/tgcn.2021.3140150</a>","bibtex":"@article{Soleymani_Santamaria_Schreier_2022, title={Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance}, volume={6}, DOI={<a href=\"https://doi.org/10.1109/tgcn.2021.3140150\">10.1109/tgcn.2021.3140150</a>}, number={2}, journal={IEEE Transactions on Green Communications and Networking}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Schreier, Peter J.}, year={2022}, pages={723–738} }","short":"M. Soleymani, I. Santamaria, P.J. Schreier, IEEE Transactions on Green Communications and Networking 6 (2022) 723–738.","mla":"Soleymani, Mohammad, et al. “Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance.” <i>IEEE Transactions on Green Communications and Networking</i>, vol. 6, no. 2, Institute of Electrical and Electronics Engineers (IEEE), 2022, pp. 723–38, doi:<a href=\"https://doi.org/10.1109/tgcn.2021.3140150\">10.1109/tgcn.2021.3140150</a>."},"page":"723-738","intvolume":"         6","publication_status":"published","publication_identifier":{"issn":["2473-2400"]},"issue":"2","title":"Improper Signaling for Multicell MIMO RIS-Assisted Broadcast Channels With I/Q Imbalance","doi":"10.1109/tgcn.2021.3140150","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","date_updated":"2024-04-05T13:21:41Z","author":[{"last_name":"Soleymani","full_name":"Soleymani, Mohammad","first_name":"Mohammad"},{"first_name":"Ignacio","last_name":"Santamaria","full_name":"Santamaria, Ignacio"},{"full_name":"Schreier, Peter J.","last_name":"Schreier","first_name":"Peter J."}],"date_created":"2024-04-05T09:04:25Z","volume":6,"status":"public","type":"journal_article","publication":"IEEE Transactions on Green Communications and Networking","keyword":["Computer Networks and Communications","Renewable Energy","Sustainability and the Environment"],"language":[{"iso":"eng"}],"_id":"53267","user_id":"67076","department":[{"_id":"263"}]},{"publication_identifier":{"issn":["1865-0929","1865-0937"],"isbn":["9783030937355","9783030937362"]},"publication_status":"published","citation":{"chicago":"Mohammadi, Hassan Ghasemzadeh, Felix Paul Jentzsch, Maurice Kuschel, Rahil Arshad, Sneha Rautmare, Suraj Manjunatha, Marco Platzner, Alexander Boschmann, and Dirk Schollbach. “FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics.” In <i>Communications in Computer and Information Science</i>. Cham: Springer International Publishing, 2022. <a href=\"https://doi.org/10.1007/978-3-030-93736-2_27\">https://doi.org/10.1007/978-3-030-93736-2_27</a>.","ieee":"H. G. Mohammadi <i>et al.</i>, “FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics,” in <i>Communications in Computer and Information Science</i>, Cham: Springer International Publishing, 2022.","ama":"Mohammadi HG, Jentzsch FP, Kuschel M, et al. FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics. In: <i>Communications in Computer and Information Science</i>. Springer International Publishing; 2022. doi:<a href=\"https://doi.org/10.1007/978-3-030-93736-2_27\">10.1007/978-3-030-93736-2_27</a>","mla":"Mohammadi, Hassan Ghasemzadeh, et al. “FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics.” <i>Communications in Computer and Information Science</i>, Springer International Publishing, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-030-93736-2_27\">10.1007/978-3-030-93736-2_27</a>.","bibtex":"@inbook{Mohammadi_Jentzsch_Kuschel_Arshad_Rautmare_Manjunatha_Platzner_Boschmann_Schollbach_2022, place={Cham}, title={FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-93736-2_27\">10.1007/978-3-030-93736-2_27</a>}, booktitle={Communications in Computer and Information Science}, publisher={Springer International Publishing}, author={Mohammadi, Hassan Ghasemzadeh and Jentzsch, Felix Paul and Kuschel, Maurice and Arshad, Rahil and Rautmare, Sneha and Manjunatha, Suraj and Platzner, Marco and Boschmann, Alexander and Schollbach, Dirk}, year={2022} }","short":"H.G. Mohammadi, F.P. Jentzsch, M. Kuschel, R. Arshad, S. Rautmare, S. Manjunatha, M. Platzner, A. Boschmann, D. Schollbach, in: Communications in Computer and Information Science, Springer International Publishing, Cham, 2022.","apa":"Mohammadi, H. G., Jentzsch, F. P., Kuschel, M., Arshad, R., Rautmare, S., Manjunatha, S., Platzner, M., Boschmann, A., &#38; Schollbach, D. (2022). FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics. In <i>Communications in Computer and Information Science</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-030-93736-2_27\">https://doi.org/10.1007/978-3-030-93736-2_27</a>"},"place":"Cham","year":"2022","date_created":"2024-04-05T14:43:07Z","author":[{"full_name":"Mohammadi, Hassan Ghasemzadeh","last_name":"Mohammadi","first_name":"Hassan Ghasemzadeh"},{"first_name":"Felix Paul","last_name":"Jentzsch","full_name":"Jentzsch, Felix Paul"},{"last_name":"Kuschel","full_name":"Kuschel, Maurice","id":"56070","first_name":"Maurice"},{"full_name":"Arshad, Rahil","last_name":"Arshad","first_name":"Rahil"},{"last_name":"Rautmare","full_name":"Rautmare, Sneha","first_name":"Sneha"},{"first_name":"Suraj","full_name":"Manjunatha, Suraj","last_name":"Manjunatha"},{"full_name":"Platzner, Marco","last_name":"Platzner","first_name":"Marco"},{"first_name":"Alexander","last_name":"Boschmann","full_name":"Boschmann, Alexander"},{"full_name":"Schollbach, Dirk","last_name":"Schollbach","first_name":"Dirk"}],"publisher":"Springer International Publishing","date_updated":"2024-04-05T14:50:26Z","doi":"10.1007/978-3-030-93736-2_27","title":"FLight: FPGA Acceleration of Lightweight DNN Model Inference in Industrial Analytics","publication":"Communications in Computer and Information Science","type":"book_chapter","status":"public","user_id":"56070","_id":"53306","language":[{"iso":"eng"}]},{"publication":"International Mathematics Research Notices","type":"journal_article","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>The Neumann problem for (0.1)$$ \\begin{align}&amp; V_t = \\Delta V-aV+f(x,t) \\end{align}$$is considered in bounded domains $\\Omega \\subset {\\mathbb {R}}^n$ with smooth boundary, where $n\\ge 1$ and $a\\in {\\mathbb {R}}$. By means of a variational approach, a statement on boundedness of the quantities $$ \\begin{eqnarray*} \\sup_{t\\in (0,T)} \\int_\\Omega \\big|\\nabla V(\\cdot,t)\\big|^p L^{\\frac{n+p}{n+2}} \\Big( \\big|\\nabla V(\\cdot,t)\\big| \\Big) \\end{eqnarray*}$$in dependence on the expressions (0.2)$$ \\begin{align}&amp; \\sup_{t\\in (0,T-\\tau)} \\int_t^{t+\\tau} \\int_\\Omega |f|^{\\frac{(n+2)p}{n+p}} L\\big( |f|\\big) \\end{align}$$is derived for $p\\ge 2$, $\\tau&amp;gt;0$, and $T\\ge 2\\tau $, provided that $L\\in C^0([0,\\infty ))$ is positive, strictly increasing, unbounded, and slowly growing in the sense that $\\limsup _{s\\to \\infty } \\frac {L(s^{\\lambda _0})}{L(s)} &amp;lt;\\infty $ for some $\\lambda _0&amp;gt;1$. In the particular case when $p=n\\ge 2$, an additional condition on growth of $L$, particularly satisfied by $L(\\xi ):=\\ln ^\\alpha (\\xi +b)$ whenever $b&amp;gt;0$ and $\\alpha&amp;gt;\\frac {(n+2)(n-1)}{2n}$, is identified as sufficient to ensure that as a consequence of the above, bounds for theintegrals in (0.2) even imply estimates for the spatio-temporal modulus of continuity of solutions to (0.1). A subsequent application to the Keller–Segel system $$ \\begin{eqnarray*} \\left\\{ \\begin{array}{l} u_t = \\nabla \\cdot \\big( D(v)\\nabla u\\big) - \\nabla \\cdot \\big( uS(v)\\nabla v\\big) + ru - \\mu u^2, \\\\[1mm] v_t = \\Delta v-v+u, \\end{array} \\right. \\end{eqnarray*}$$shows that when $n=2$, $r\\in {\\mathbb {R}}$, $0&amp;lt;D\\in C^2([0,\\infty ))$, and $S\\in C^2([0,\\infty )) \\cap W^{1,\\infty }((0,\\infty ))$ and thus especially in the presence of arbitrarily strong diffusion degeneracies implied by rapid decay of $D$, any choice of $\\mu&amp;gt;0$ excludes blowup in the sense that for all suitably regular nonnegative initial data, an associated initial-boundary value problem admits a global bounded classical solution.</jats:p>","lang":"eng"}],"status":"public","_id":"53319","user_id":"31496","keyword":["General Mathematics"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"publication_status":"published","issue":"19","year":"2022","page":"16336-16393","intvolume":"      2023","citation":{"mla":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” <i>International Mathematics Research Notices</i>, vol. 2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi:<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>.","bibtex":"@article{Winkler_2022, title={A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System}, volume={2023}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>}, number={19}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393} }","short":"M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.","apa":"Winkler, M. (2022). A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. <i>International Mathematics Research Notices</i>, <i>2023</i>(19), 16336–16393. <a href=\"https://doi.org/10.1093/imrn/rnac286\">https://doi.org/10.1093/imrn/rnac286</a>","ieee":"M. Winkler, “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System,” <i>International Mathematics Research Notices</i>, vol. 2023, no. 19, pp. 16336–16393, 2022, doi: <a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>.","chicago":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” <i>International Mathematics Research Notices</i> 2023, no. 19 (2022): 16336–93. <a href=\"https://doi.org/10.1093/imrn/rnac286\">https://doi.org/10.1093/imrn/rnac286</a>.","ama":"Winkler M. A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. <i>International Mathematics Research Notices</i>. 2022;2023(19):16336-16393. doi:<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>"},"date_updated":"2024-04-07T12:36:06Z","publisher":"Oxford University Press (OUP)","volume":2023,"author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_created":"2024-04-07T12:33:44Z","title":"A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System","doi":"10.1093/imrn/rnac286"},{"doi":"10.1142/s0219199722500626","title":"Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems","author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2024-04-07T12:35:09Z","volume":25,"date_updated":"2024-04-07T12:35:53Z","publisher":"World Scientific Pub Co Pte Ltd","citation":{"ieee":"M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2022, doi: <a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","chicago":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>.","ama":"Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>","apa":"Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>","bibtex":"@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>}, number={10}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, World Scientific Pub Co Pte Ltd, 2022, doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","short":"M. Winkler, Communications in Contemporary Mathematics 25 (2022)."},"intvolume":"        25","year":"2022","issue":"10","publication_status":"published","publication_identifier":{"issn":["0219-1997","1793-6683"]},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"user_id":"31496","_id":"53321","status":"public","abstract":[{"text":"<jats:p> The chemotaxis system [Formula: see text] is considered in a ball [Formula: see text], [Formula: see text], where the positive function [Formula: see text] reflects suitably weak diffusion by satisfying [Formula: see text] for some [Formula: see text]. It is shown that whenever [Formula: see text] is positive and satisfies [Formula: see text] as [Formula: see text], one can find a suitably regular nonlinearity [Formula: see text] with the property that at each sufficiently large mass level [Formula: see text] there exists a globally defined radially symmetric classical solution to a Neumann-type boundary value problem for (⋆) which satisfies [Formula: see text] </jats:p>","lang":"eng"}],"type":"journal_article","publication":"Communications in Contemporary Mathematics"},{"publication":"Journal of Dynamics and Differential Equations","type":"journal_article","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega =B_R(0)\\subset \\mathbb {R}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>Ω</mml:mi>\r\n                  <mml:mo>=</mml:mo>\r\n                  <mml:msub>\r\n                    <mml:mi>B</mml:mi>\r\n                    <mml:mi>R</mml:mi>\r\n                  </mml:msub>\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: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:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\ge 2$$</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>2</mml:mn>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, the chemotaxis system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\nabla \\cdot \\big ( D(u) \\nabla u \\big ) - \\nabla \\cdot \\big ( uS(u)\\nabla v\\big ), \\\\ 0 = \\Delta v - \\mu + u, \\qquad \\mu =\\frac{1}{|\\Omega |} \\int _\\Omega u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$</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:mfenced>\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: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:mi>D</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\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:mi>u</mml:mi>\r\n                                      <mml:mi>S</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:mi>v</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mtd>\r\n                                </mml:mtr>\r\n                                <mml:mtr>\r\n                                  <mml:mtd>\r\n                                    <mml:mrow>\r\n                                      <mml:mrow />\r\n                                      <mml:mn>0</mml:mn>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:mi>Δ</mml:mi>\r\n                                      <mml:mi>v</mml:mi>\r\n                                      <mml:mo>-</mml:mo>\r\n                                      <mml:mi>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:mspace />\r\n                                      <mml:mi>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:mo>|</mml:mo>\r\n                                          <mml:mi>Ω</mml:mi>\r\n                                          <mml:mo>|</mml:mo>\r\n                                        </mml:mrow>\r\n                                      </mml:mfrac>\r\n                                      <mml:msub>\r\n                                        <mml:mo>∫</mml:mo>\r\n                                        <mml:mi>Ω</mml:mi>\r\n                                      </mml:msub>\r\n                                      <mml:mi>u</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:mfenced>\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 under no-flux boundary conditions, with a focus on nonlinearities <jats:inline-formula><jats:alternatives><jats:tex-math>$$S\\in C^2([0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>S</mml:mi>\r\n                  <mml:mo>∈</mml:mo>\r\n                  <mml:msup>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mn>2</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> which exhibit super-algebraically fast decay in the sense that with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_S&gt;0, \\beta \\in [0,1)$$</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>K</mml:mi>\r\n                    <mml:mi>S</mml:mi>\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:mi>β</mml:mi>\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:mn>1</mml:mn>\r\n                    <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\xi _0&gt;0$$</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>ξ</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:math></jats:alternatives></jats:inline-formula>, <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} S(\\xi )&gt;0 \\quad \\text{ and } \\quad S'(\\xi ) \\le -K_S\\xi ^{-\\beta } S(\\xi ) \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0. \\end{aligned}$$</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:mi>S</mml:mi>\r\n                          <mml:mrow>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n                          <mml:mo>&gt;</mml:mo>\r\n                          <mml:mn>0</mml:mn>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>and</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:msup>\r\n                            <mml:mi>S</mml:mi>\r\n                            <mml:mo>′</mml:mo>\r\n                          </mml:msup>\r\n                          <mml:mrow>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mi>ξ</mml:mi>\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:msub>\r\n                            <mml:mi>K</mml:mi>\r\n                            <mml:mi>S</mml:mi>\r\n                          </mml:msub>\r\n                          <mml:msup>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mrow>\r\n                              <mml:mo>-</mml:mo>\r\n                              <mml:mi>β</mml:mi>\r\n                            </mml:mrow>\r\n                          </mml:msup>\r\n                          <mml:mi>S</mml:mi>\r\n                          <mml:mrow>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mi>ξ</mml:mi>\r\n                          <mml:mo>≥</mml:mo>\r\n                          <mml:msub>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:msub>\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>It is, inter alia, shown that if furthermore <jats:inline-formula><jats:alternatives><jats:tex-math>$$D\\in C^2((0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>D</mml:mi>\r\n                  <mml:mo>∈</mml:mo>\r\n                  <mml:msup>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mn>2</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> is positive and suitably small in relation to <jats:italic>S</jats:italic> by satisfying <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{\\xi S(\\xi )}{D(\\xi )} \\ge K_{SD}\\xi ^\\lambda \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0 \\end{aligned}$$</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:mi>ξ</mml:mi>\r\n                              <mml:mi>S</mml:mi>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mrow>\r\n                              <mml:mi>D</mml:mi>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>ξ</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:msub>\r\n                            <mml:mi>K</mml:mi>\r\n                            <mml:mrow>\r\n                              <mml:mi>SD</mml:mi>\r\n                            </mml:mrow>\r\n                          </mml:msub>\r\n                          <mml:msup>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mi>λ</mml:mi>\r\n                          </mml:msup>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mi>ξ</mml:mi>\r\n                          <mml:mo>≥</mml:mo>\r\n                          <mml:msub>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:msub>\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>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_{SD}&gt;0$$</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>K</mml:mi>\r\n                    <mml:mrow>\r\n                      <mml:mi>SD</mml:mi>\r\n                    </mml:mrow>\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:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\lambda &gt;\\frac{2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>λ</mml:mi>\r\n                  <mml:mo>&gt;</mml:mo>\r\n                  <mml:mfrac>\r\n                    <mml:mn>2</mml:mn>\r\n                    <mml:mi>n</mml:mi>\r\n                  </mml:mfrac>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, then throughout a considerably large set of initial data, (<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>) admits global classical solutions (<jats:italic>u</jats:italic>, <jats:italic>v</jats:italic>) fulfilling <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{z(t)}{C} \\le \\Vert u(\\cdot ,t)\\Vert _{L^\\infty (\\Omega )} \\le Cz(t) \\qquad \\text{ for } \\text{ all } t&gt;0, \\end{aligned}$$</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:mi>z</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:mi>C</mml:mi>\r\n                          </mml:mfrac>\r\n                          <mml:mo>≤</mml:mo>\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:mi>Ω</mml:mi>\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>C</mml:mi>\r\n                          <mml:mi>z</mml:mi>\r\n                          <mml:mrow>\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:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mi>t</mml:mi>\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:mtd>\r\n                    </mml:mtr>\r\n                  </mml:mtable>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$C=C^{(u,v)}\\ge 1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>C</mml:mi>\r\n                  <mml:mo>=</mml:mo>\r\n                  <mml:msup>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</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>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:msup>\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>, where <jats:italic>z</jats:italic> denotes the solution of <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}z'(t) = z^2(t) \\cdot S\\big ( z(t)\\big ), \\qquad t&gt;0, \\\\ z(0)=\\xi _0, \\end{array} \\right. \\end{aligned}$$</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:mfenced>\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>z</mml:mi>\r\n                                      <mml:mo>′</mml:mo>\r\n                                    </mml:msup>\r\n                                    <mml:mrow>\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:msup>\r\n                                      <mml:mi>z</mml:mi>\r\n                                      <mml:mn>2</mml:mn>\r\n                                    </mml:msup>\r\n                                    <mml:mrow>\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:mi>S</mml:mi>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mi>z</mml:mi>\r\n                                    <mml:mrow>\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:mrow>\r\n                                      <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>,</mml:mo>\r\n                                    <mml:mspace />\r\n                                    <mml:mi>t</mml:mi>\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:mtd>\r\n                              </mml:mtr>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:mrow />\r\n                                    <mml:mi>z</mml:mi>\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:mrow>\r\n                                    <mml:mo>=</mml:mo>\r\n                                    <mml:msub>\r\n                                      <mml:mi>ξ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\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:mfenced>\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>which is seen to exist globally, and to satisfy <jats:inline-formula><jats:alternatives><jats:tex-math>$$z(t)\\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>z</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>. As particular examples, exponentially and doubly exponentially decaying <jats:italic>S</jats:italic> are found to imply corresponding infinite-time blow-up properties in (<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>) at logarithmic and doubly logarithmic rates, respectively.</jats:p>","lang":"eng"}],"user_id":"31496","_id":"53323","language":[{"iso":"eng"}],"keyword":["Analysis"],"publication_identifier":{"issn":["1040-7294","1572-9222"]},"publication_status":"published","citation":{"bibtex":"@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel System}, DOI={<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }","short":"M. Winkler, Journal of Dynamics and Differential Equations (2022).","mla":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” <i>Journal of Dynamics and Differential Equations</i>, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>.","apa":"Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal of Dynamics and Differential Equations</i>. <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">https://doi.org/10.1007/s10884-022-10167-w</a>","chicago":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” <i>Journal of Dynamics and Differential Equations</i>, 2022. <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">https://doi.org/10.1007/s10884-022-10167-w</a>.","ieee":"M. Winkler, “Slow Grow-up in a Quasilinear Keller–Segel System,” <i>Journal of Dynamics and Differential Equations</i>, 2022, doi: <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>.","ama":"Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal of Dynamics and Differential Equations</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>"},"year":"2022","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_created":"2024-04-07T12:39:12Z","date_updated":"2024-04-07T12:39:17Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s10884-022-10167-w","title":"Slow Grow-up in a Quasilinear Keller–Segel System"},{"publication_status":"published","publication_identifier":{"issn":["0022-0396"]},"citation":{"ama":"Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal of Differential Equations</i>. 2022;343:390-418. doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>","ieee":"Y. Tao and M. Winkler, “Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension,” <i>Journal of Differential Equations</i>, vol. 343, pp. 390–418, 2022, doi: <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>.","chicago":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” <i>Journal of Differential Equations</i> 343 (2022): 390–418. <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">https://doi.org/10.1016/j.jde.2022.10.022</a>.","bibtex":"@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }","short":"Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.","mla":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” <i>Journal of Differential Equations</i>, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>.","apa":"Tao, Y., &#38; Winkler, M. (2022). Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal of Differential Equations</i>, <i>343</i>, 390–418. <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">https://doi.org/10.1016/j.jde.2022.10.022</a>"},"intvolume":"       343","page":"390-418","year":"2022","date_created":"2024-04-07T12:42:28Z","author":[{"last_name":"Tao","full_name":"Tao, Youshan","first_name":"Youshan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"volume":343,"date_updated":"2024-04-07T12:42:32Z","publisher":"Elsevier BV","doi":"10.1016/j.jde.2022.10.022","title":"Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension","type":"journal_article","publication":"Journal of Differential Equations","status":"public","user_id":"31496","_id":"53327","language":[{"iso":"eng"}],"keyword":["Analysis","Applied Mathematics"]},{"user_id":"31496","_id":"53325","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"article_number":"113153","publication":"Nonlinear Analysis","type":"journal_article","status":"public","volume":226,"date_created":"2024-04-07T12:41:15Z","author":[{"first_name":"Laurent","full_name":"Desvillettes, Laurent","last_name":"Desvillettes"},{"first_name":"Philippe","full_name":"Laurençot, Philippe","last_name":"Laurençot"},{"first_name":"Ariane","last_name":"Trescases","full_name":"Trescases, Ariane"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_updated":"2024-04-07T12:41:20Z","publisher":"Elsevier BV","doi":"10.1016/j.na.2022.113153","title":"Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing","publication_identifier":{"issn":["0362-546X"]},"publication_status":"published","intvolume":"       226","citation":{"chicago":"Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i> 226 (2022). <a href=\"https://doi.org/10.1016/j.na.2022.113153\">https://doi.org/10.1016/j.na.2022.113153</a>.","ieee":"L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing,” <i>Nonlinear Analysis</i>, vol. 226, Art. no. 113153, 2022, doi: <a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>.","ama":"Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>. 2022;226. doi:<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>","mla":"Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i>, vol. 226, 113153, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>.","short":"L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).","bibtex":"@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing}, volume={226}, DOI={<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>}, number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes, Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022} }","apa":"Desvillettes, L., Laurençot, P., Trescases, A., &#38; Winkler, M. (2022). Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>, <i>226</i>, Article 113153. <a href=\"https://doi.org/10.1016/j.na.2022.113153\">https://doi.org/10.1016/j.na.2022.113153</a>"},"year":"2022"},{"language":[{"iso":"eng"}],"keyword":["General Mathematics"],"user_id":"31496","_id":"53331","status":"public","abstract":[{"lang":"eng","text":"<jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega \\subset \\mathbb {R}^{n}$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline1.png\" /></jats:alternatives></jats:inline-formula> with <jats:inline-formula><jats:alternatives><jats:tex-math>$n\\ge 2$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline2.png\" /></jats:alternatives></jats:inline-formula>, the chemotaxis system\r\n<jats:disp-formula><jats:alternatives><jats:tex-math>\\[ \\left\\{ \\begin{array}{@{}l} u_t = \\nabla \\cdot \\big( D(u)\\nabla u\\big) + \\nabla\\cdot \\big(\\dfrac{u}{v} \\nabla v\\big), \\\\ 0=\\Delta v - uv \\end{array} \\right. \\]</jats:tex-math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" mimetype=\"image\" position=\"float\" xlink:href=\"S0308210522000397_eqnU1.png\" /></jats:alternatives></jats:disp-formula>is considered along with no-flux boundary conditions for <jats:inline-formula><jats:alternatives><jats:tex-math>$u$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline3.png\" /></jats:alternatives></jats:inline-formula> and with prescribed constant positive Dirichlet boundary data for <jats:inline-formula><jats:alternatives><jats:tex-math>$v$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline4.png\" /></jats:alternatives></jats:inline-formula>. It is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$D\\in C^{3}([0,\\infty ))$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline5.png\" /></jats:alternatives></jats:inline-formula> is such that <jats:inline-formula><jats:alternatives><jats:tex-math>$0&lt; D(\\xi ) \\le {K_D} (\\xi +1)^{-\\alpha }$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline6.png\" /></jats:alternatives></jats:inline-formula> for all <jats:inline-formula><jats:alternatives><jats:tex-math>$\\xi &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline7.png\" /></jats:alternatives></jats:inline-formula> with some <jats:inline-formula><jats:alternatives><jats:tex-math>${K_D}&gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline8.png\" /></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$\\alpha &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline9.png\" /></jats:alternatives></jats:inline-formula>, then for all initial data from a considerably large set of radial functions on <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline10.png\" /></jats:alternatives></jats:inline-formula>, the corresponding initial-boundary value problem admits a solution blowing up in finite time.</jats:p>"}],"type":"journal_article","publication":"Proceedings of the Royal Society of Edinburgh: Section A Mathematics","doi":"10.1017/prm.2022.39","title":"Finite-time blow-up in a repulsive chemotaxis-consumption system","date_created":"2024-04-07T12:44:26Z","author":[{"first_name":"Yulan","last_name":"Wang","full_name":"Wang, Yulan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"volume":153,"date_updated":"2024-04-07T12:44:30Z","publisher":"Cambridge University Press (CUP)","citation":{"mla":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi:<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>.","short":"Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166.","bibtex":"@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption system}, volume={153}, DOI={<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>}, number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan and Winkler, Michael}, year={2022}, pages={1150–1166} }","apa":"Wang, Y., &#38; Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, <i>153</i>(4), 1150–1166. <a href=\"https://doi.org/10.1017/prm.2022.39\">https://doi.org/10.1017/prm.2022.39</a>","ama":"Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>. 2022;153(4):1150-1166. doi:<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>","chicago":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i> 153, no. 4 (2022): 1150–66. <a href=\"https://doi.org/10.1017/prm.2022.39\">https://doi.org/10.1017/prm.2022.39</a>.","ieee":"Y. Wang and M. Winkler, “Finite-time blow-up in a repulsive chemotaxis-consumption system,” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, vol. 153, no. 4, pp. 1150–1166, 2022, doi: <a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>."},"page":"1150-1166","intvolume":"       153","year":"2022","issue":"4","publication_status":"published","publication_identifier":{"issn":["0308-2105","1473-7124"]}},{"citation":{"ama":"Winkler M. Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. <i>Bulletin of Mathematical Sciences</i>. 2022;13(02). doi:<a href=\"https://doi.org/10.1142/s1664360722500126\">10.1142/s1664360722500126</a>","ieee":"M. Winkler, “Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model,” <i>Bulletin of Mathematical Sciences</i>, vol. 13, no. 02, 2022, doi: <a href=\"https://doi.org/10.1142/s1664360722500126\">10.1142/s1664360722500126</a>.","chicago":"Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction of Global Solutions to a Strongly Degenerate Migration Model.” <i>Bulletin of Mathematical Sciences</i> 13, no. 02 (2022). <a href=\"https://doi.org/10.1142/s1664360722500126\">https://doi.org/10.1142/s1664360722500126</a>.","apa":"Winkler, M. (2022). Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. <i>Bulletin of Mathematical Sciences</i>, <i>13</i>(02). <a href=\"https://doi.org/10.1142/s1664360722500126\">https://doi.org/10.1142/s1664360722500126</a>","bibtex":"@article{Winkler_2022, title={Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model}, volume={13}, DOI={<a href=\"https://doi.org/10.1142/s1664360722500126\">10.1142/s1664360722500126</a>}, number={02}, journal={Bulletin of Mathematical Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction of Global Solutions to a Strongly Degenerate Migration Model.” <i>Bulletin of Mathematical Sciences</i>, vol. 13, no. 02, World Scientific Pub Co Pte Ltd, 2022, doi:<a href=\"https://doi.org/10.1142/s1664360722500126\">10.1142/s1664360722500126</a>.","short":"M. Winkler, Bulletin of Mathematical Sciences 13 (2022)."},"intvolume":"        13","year":"2022","issue":"02","publication_status":"published","publication_identifier":{"issn":["1664-3607","1664-3615"]},"doi":"10.1142/s1664360722500126","title":"Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_created":"2024-04-07T12:55:07Z","volume":13,"date_updated":"2024-04-07T12:55:11Z","publisher":"World Scientific Pub Co Pte Ltd","status":"public","abstract":[{"text":"<jats:p> A no-flux initial-boundary value problem for the cross-diffusion system [Formula: see text] is considered in smoothly bounded domains [Formula: see text] with [Formula: see text]. It is shown that whenever [Formula: see text] is positive on [Formula: see text] and such that [Formula: see text] for some [Formula: see text], for all suitably regular positive initial data a global very weak solution, particularly preserving mass in its first component, can be constructed. This extends previous results which either concentrate on non-degenerate analogs, or are restricted to the special case [Formula: see text]. </jats:p><jats:p> To appropriately cope with the considerably stronger cross-degeneracies thus allowed through [Formula: see text] when [Formula: see text] is large, in its core part the analysis relies on the use of the Moser–Trudinger inequality in controlling the respective diffusion rates [Formula: see text] from below. </jats:p>","lang":"eng"}],"type":"journal_article","publication":"Bulletin of Mathematical Sciences","language":[{"iso":"eng"}],"keyword":["General Mathematics"],"user_id":"31496","_id":"53344"},{"language":[{"iso":"ger"}],"keyword":["General Earth and Planetary Sciences","General Environmental Science"],"user_id":"530","series_title":"TRR 266 Accounting for Transparency Working Paper Series","department":[{"_id":"187"}],"_id":"35788","status":"public","type":"working_paper","main_file_link":[{"open_access":"1"}],"doi":"10.2139/ssrn.4210460","title":"Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)","author":[{"first_name":"Martin","full_name":"Fochmann, Martin","last_name":"Fochmann"},{"first_name":"Vanessa","last_name":"Heinemann-Heile","id":"83380","full_name":"Heinemann-Heile, Vanessa"},{"full_name":"Huber, Hans-Peter","last_name":"Huber","first_name":"Hans-Peter"},{"first_name":"Ralf","full_name":"Maiterth, Ralf","last_name":"Maiterth"},{"first_name":"Caren","orcid":" 0000-0002-8183-5901","last_name":"Sureth-Sloane","full_name":"Sureth-Sloane, Caren","id":"530"}],"date_created":"2023-01-10T10:51:40Z","volume":100,"date_updated":"2024-04-08T11:33:02Z","oa":"1","citation":{"chicago":"Fochmann, Martin, Vanessa Heinemann-Heile, Hans-Peter Huber, Ralf Maiterth, and Caren Sureth-Sloane. <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)</i>. Vol. 100. TRR 266 Accounting for Transparency Working Paper Series, 2022. <a href=\"https://doi.org/10.2139/ssrn.4210460\">https://doi.org/10.2139/ssrn.4210460</a>.","ieee":"M. Fochmann, V. Heinemann-Heile, H.-P. Huber, R. Maiterth, and C. Sureth-Sloane, <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)</i>, vol. 100. 2022.","ama":"Fochmann M, Heinemann-Heile V, Huber H-P, Maiterth R, Sureth-Sloane C. <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)</i>. Vol 100.; 2022. doi:<a href=\"https://doi.org/10.2139/ssrn.4210460\">10.2139/ssrn.4210460</a>","apa":"Fochmann, M., Heinemann-Heile, V., Huber, H.-P., Maiterth, R., &#38; Sureth-Sloane, C. (2022). <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)</i> (Vol. 100). <a href=\"https://doi.org/10.2139/ssrn.4210460\">https://doi.org/10.2139/ssrn.4210460</a>","bibtex":"@book{Fochmann_Heinemann-Heile_Huber_Maiterth_Sureth-Sloane_2022, series={TRR 266 Accounting for Transparency Working Paper Series}, title={Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)}, volume={100}, DOI={<a href=\"https://doi.org/10.2139/ssrn.4210460\">10.2139/ssrn.4210460</a>}, author={Fochmann, Martin and Heinemann-Heile, Vanessa and Huber, Hans-Peter and Maiterth, Ralf and Sureth-Sloane, Caren}, year={2022}, collection={TRR 266 Accounting for Transparency Working Paper Series} }","mla":"Fochmann, Martin, et al. <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation)</i>. 2022, doi:<a href=\"https://doi.org/10.2139/ssrn.4210460\">10.2139/ssrn.4210460</a>.","short":"M. Fochmann, V. Heinemann-Heile, H.-P. Huber, R. Maiterth, C. Sureth-Sloane, Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of Taxation), 2022."},"intvolume":"       100","year":"2022","publication_status":"published","publication_identifier":{"issn":["1556-5068"]}},{"user_id":"530","series_title":"TRR 266 Accounting for Transparency Working Paper Series","department":[{"_id":"187"}],"_id":"35795","language":[{"iso":"eng"}],"type":"working_paper","status":"public","date_created":"2023-01-10T11:00:37Z","author":[{"first_name":"Stefan","last_name":"Greil","full_name":"Greil, Stefan"},{"full_name":"Overesch, Michael","last_name":"Overesch","first_name":"Michael"},{"first_name":"Anna","full_name":"Rohlfing-Bastian, Anna","last_name":"Rohlfing-Bastian"},{"full_name":"Schreiber, Ulrich","last_name":"Schreiber","first_name":"Ulrich"},{"id":"530","full_name":"Sureth-Sloane, Caren","orcid":" 0000-0002-8183-5901","last_name":"Sureth-Sloane","first_name":"Caren"}],"volume":89,"date_updated":"2024-04-08T11:32:32Z","oa":"1","main_file_link":[{"open_access":"1"}],"doi":"10.2139/ssrn.4166972","title":"Towards an Amended Arm's Length Principle - Tackling complexity and implementing destination rules in transfer pricing","publication_status":"published","publication_identifier":{"issn":["1556-5068"]},"citation":{"apa":"Greil, S., Overesch, M., Rohlfing-Bastian, A., Schreiber, U., &#38; Sureth-Sloane, C. (2022). <i>Towards an Amended Arm’s Length Principle - Tackling complexity and implementing destination rules in transfer pricing</i> (Vol. 89). <a href=\"https://doi.org/10.2139/ssrn.4166972\">https://doi.org/10.2139/ssrn.4166972</a>","bibtex":"@book{Greil_Overesch_Rohlfing-Bastian_Schreiber_Sureth-Sloane_2022, series={TRR 266 Accounting for Transparency Working Paper Series}, title={Towards an Amended Arm’s Length Principle - Tackling complexity and implementing destination rules in transfer pricing}, volume={89}, DOI={<a href=\"https://doi.org/10.2139/ssrn.4166972\">10.2139/ssrn.4166972</a>}, author={Greil, Stefan and Overesch, Michael and Rohlfing-Bastian, Anna and Schreiber, Ulrich and Sureth-Sloane, Caren}, year={2022}, collection={TRR 266 Accounting for Transparency Working Paper Series} }","short":"S. Greil, M. Overesch, A. Rohlfing-Bastian, U. Schreiber, C. Sureth-Sloane, Towards an Amended Arm’s Length Principle - Tackling Complexity and Implementing Destination Rules in Transfer Pricing, 2022.","mla":"Greil, Stefan, et al. <i>Towards an Amended Arm’s Length Principle - Tackling Complexity and Implementing Destination Rules in Transfer Pricing</i>. 2022, doi:<a href=\"https://doi.org/10.2139/ssrn.4166972\">10.2139/ssrn.4166972</a>.","ama":"Greil S, Overesch M, Rohlfing-Bastian A, Schreiber U, Sureth-Sloane C. <i>Towards an Amended Arm’s Length Principle - Tackling Complexity and Implementing Destination Rules in Transfer Pricing</i>. Vol 89.; 2022. doi:<a href=\"https://doi.org/10.2139/ssrn.4166972\">10.2139/ssrn.4166972</a>","ieee":"S. Greil, M. Overesch, A. Rohlfing-Bastian, U. Schreiber, and C. Sureth-Sloane, <i>Towards an Amended Arm’s Length Principle - Tackling complexity and implementing destination rules in transfer pricing</i>, vol. 89. 2022.","chicago":"Greil, Stefan, Michael Overesch, Anna Rohlfing-Bastian, Ulrich Schreiber, and Caren Sureth-Sloane. <i>Towards an Amended Arm’s Length Principle - Tackling Complexity and Implementing Destination Rules in Transfer Pricing</i>. Vol. 89. TRR 266 Accounting for Transparency Working Paper Series, 2022. <a href=\"https://doi.org/10.2139/ssrn.4166972\">https://doi.org/10.2139/ssrn.4166972</a>."},"intvolume":"        89","year":"2022"},{"_id":"52574","user_id":"578","department":[{"_id":"10"},{"_id":"98"},{"_id":"360"}],"language":[{"iso":"ger"}],"type":"conference","publication":"Beiträge zum Mathematikunterricht","status":"public","publisher":"WTM","date_updated":"2024-04-09T10:56:58Z","author":[{"id":"578","full_name":"Werth, Gerda","last_name":"Werth","first_name":"Gerda"}],"date_created":"2024-03-14T11:17:56Z","title":"Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings","conference":{"end_date":"2022-09-02","location":"Frankfurt am. Main","name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","start_date":"2022-08-29"},"doi":"https://doi.org/10.37626/GA9783959872089.0","publication_status":"published","year":"2022","place":"Münster","citation":{"apa":"Werth, G. (2022). Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings. <i>Beiträge zum Mathematikunterricht</i>. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am. Main. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>","mla":"Werth, Gerda. “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings.” <i>Beiträge zum Mathematikunterricht</i>, WTM, 2022, doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>.","bibtex":"@inproceedings{Werth_2022, place={Münster}, title={Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings}, DOI={<a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>}, booktitle={Beiträge zum Mathematikunterricht}, publisher={WTM}, author={Werth, Gerda}, year={2022} }","short":"G. Werth, in: Beiträge zum Mathematikunterricht, WTM, Münster, 2022.","ama":"Werth G. Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings. In: <i>Beiträge zum Mathematikunterricht</i>. WTM; 2022. doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>","ieee":"G. Werth, “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings,” presented at the 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am. Main, 2022, doi: <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>.","chicago":"Werth, Gerda. “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings.” In <i>Beiträge zum Mathematikunterricht</i>. Münster: WTM, 2022. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>."}},{"volume":31,"author":[{"full_name":"Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V., .","last_name":"Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V.","first_name":"."},{"first_name":"A","last_name":"lead authors: Kreuzer","full_name":"lead authors: Kreuzer, A"},{"full_name":"Maier, H","last_name":"Maier","first_name":"H"},{"first_name":"J. T.","last_name":"Martini","full_name":"Martini, J. T."},{"first_name":"Rainer","full_name":"Niemann, Rainer","last_name":"Niemann"},{"first_name":"Maite","full_name":"Schachtebeck, Maite","last_name":"Schachtebeck"},{"last_name":"Simons","full_name":"Simons, Dirk","first_name":"Dirk"},{"full_name":"Stoltenberg, J","last_name":"Stoltenberg","first_name":"J"},{"first_name":"Caren","id":"530","full_name":"Sureth-Sloane, Caren","last_name":"Sureth-Sloane","orcid":" 0000-0002-8183-5901"}],"date_created":"2023-01-10T10:18:09Z","date_updated":"2024-04-11T12:05:34Z","title":"Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter","issue":"22","publication_status":"published","page":"824-829","intvolume":"        31","citation":{"apa":"Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V., ., lead authors: Kreuzer, A., Maier, H., Martini, J. T., Niemann, R., Schachtebeck, M., Simons, D., Stoltenberg, J., &#38; Sureth-Sloane, C. (2022). Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter. <i>Internationales Steuerrecht</i>, <i>31</i>(22), 824–829.","short":". Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V., A. lead authors: Kreuzer, H. Maier, J.T. Martini, R. Niemann, M. Schachtebeck, D. Simons, J. Stoltenberg, C. 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T. and Niemann, Rainer and Schachtebeck, Maite and Simons, Dirk and Stoltenberg, J and Sureth-Sloane, Caren}, year={2022}, pages={824–829} }","ama":"Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V. ., lead authors: Kreuzer A, Maier H, et al. Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter. <i>Internationales Steuerrecht</i>. 2022;31(22):824-829.","chicago":"Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V., ., A lead authors: Kreuzer, H Maier, J. T. Martini, Rainer Niemann, Maite Schachtebeck, Dirk Simons, J Stoltenberg, and Caren Sureth-Sloane. “Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter.” <i>Internationales Steuerrecht</i> 31, no. 22 (2022): 824–29.","ieee":". Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V. <i>et al.</i>, “Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter,” <i>Internationales Steuerrecht</i>, vol. 31, no. 22, pp. 824–829, 2022."},"year":"2022","department":[{"_id":"187"}],"user_id":"74000","_id":"35749","language":[{"iso":"ger"}],"publication":"Internationales Steuerrecht","type":"journal_article","status":"public"},{"date_created":"2024-04-11T12:43:14Z","author":[{"first_name":"Fabian","full_name":"Gundlach, Fabian","id":"100450","last_name":"Gundlach"}],"date_updated":"2024-04-11T12:50:44Z","title":"Malle's conjecture with multiple invariants","citation":{"short":"F. Gundlach, ArXiv:2211.16698 (2022).","mla":"Gundlach, Fabian. “Malle’s Conjecture with Multiple Invariants.” <i>ArXiv:2211.16698</i>, 2022.","bibtex":"@article{Gundlach_2022, title={Malle’s conjecture with multiple invariants}, journal={arXiv:2211.16698}, author={Gundlach, Fabian}, year={2022} }","apa":"Gundlach, F. (2022). Malle’s conjecture with multiple invariants. In <i>arXiv:2211.16698</i>.","ama":"Gundlach F. Malle’s conjecture with multiple invariants. <i>arXiv:221116698</i>. Published online 2022.","chicago":"Gundlach, Fabian. “Malle’s Conjecture with Multiple Invariants.” <i>ArXiv:2211.16698</i>, 2022.","ieee":"F. Gundlach, “Malle’s conjecture with multiple invariants,” <i>arXiv:2211.16698</i>. 2022."},"year":"2022","user_id":"100450","_id":"53421","external_id":{"arxiv":["2211.16698"]},"language":[{"iso":"eng"}],"extern":"1","publication":"arXiv:2211.16698","type":"preprint","status":"public","abstract":[{"lang":"eng","text":"We define invariants $\\operatorname{inv}_1,\\dots,\\operatorname{inv}_m$ of\r\nGalois extensions of number fields with a fixed Galois group. Then, we propose\r\na heuristic in the spirit of Malle's conjecture which asymptotically predicts\r\nthe number of extensions that satisfy $\\operatorname{inv}_i\\leq X_i$ for all\r\n$X_i$. The resulting conjecture is proved for abelian Galois groups. We also\r\ndescribe refined Artin conductors that carry essentially the same information\r\nas the invariants $\\operatorname{inv}_1,\\dots,\\operatorname{inv}_m$."}]},{"publication_status":"published","year":"2022","citation":{"mla":"Lehmann, Isabell, et al. “Multi-Task FMRI Data Fusion Using IVA and PARAFAC2.” <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>, IEEE, 2022, doi:<a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">10.1109/icassp43922.2022.9747662</a>.","short":"I. Lehmann, E. Acar, T. Hasija, M.A.B.S. Akhonda, V.D. Calhoun, P. Schreier, T. Adali, in: ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2022.","bibtex":"@inproceedings{Lehmann_Acar_Hasija_Akhonda_Calhoun_Schreier_Adali_2022, title={Multi-Task fMRI Data Fusion Using IVA and PARAFAC2}, DOI={<a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">10.1109/icassp43922.2022.9747662</a>}, booktitle={ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}, publisher={IEEE}, author={Lehmann, Isabell and Acar, Evrim and Hasija, Tanuj and Akhonda, M.A.B.S. and Calhoun, Vince D. and Schreier, Peter and Adali, Tulay}, year={2022} }","apa":"Lehmann, I., Acar, E., Hasija, T., Akhonda, M. A. B. S., Calhoun, V. D., Schreier, P., &#38; Adali, T. (2022). 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In: <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. IEEE; 2022. doi:<a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">10.1109/icassp43922.2022.9747662</a>"},"date_updated":"2024-04-15T07:37:35Z","publisher":"IEEE","author":[{"first_name":"Isabell","full_name":"Lehmann, Isabell","id":"49902","last_name":"Lehmann"},{"first_name":"Evrim","full_name":"Acar, Evrim","last_name":"Acar"},{"full_name":"Hasija, Tanuj","id":"43497","last_name":"Hasija","first_name":"Tanuj"},{"full_name":"Akhonda, M.A.B.S.","last_name":"Akhonda","first_name":"M.A.B.S."},{"full_name":"Calhoun, Vince D.","last_name":"Calhoun","first_name":"Vince D."},{"first_name":"Peter","full_name":"Schreier, Peter","last_name":"Schreier"},{"first_name":"Tulay","full_name":"Adali, Tulay","last_name":"Adali"}],"date_created":"2023-12-19T07:46:36Z","title":"Multi-Task fMRI Data Fusion Using IVA and PARAFAC2","doi":"10.1109/icassp43922.2022.9747662","type":"conference","publication":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","status":"public","_id":"49825","user_id":"49902","department":[{"_id":"263"}],"language":[{"iso":"eng"}]},{"doi":"10.1016/j.seps.2021.101189","title":"A private sustainable partner selection model for green public-private partnerships and regional economic development","author":[{"full_name":"Tavana, Madjid","id":"31858","last_name":"Tavana","first_name":"Madjid"},{"last_name":"Khalili Nasr","full_name":"Khalili Nasr, Arash","first_name":"Arash"},{"last_name":"Mina","full_name":"Mina, Hassan","first_name":"Hassan"},{"first_name":"Jerzy","last_name":"Michnik","full_name":"Michnik, Jerzy"}],"date_created":"2024-04-04T15:50:16Z","volume":83,"publisher":"Elsevier BV","date_updated":"2024-04-15T13:16:33Z","citation":{"ama":"Tavana M, Khalili Nasr A, Mina H, Michnik J. 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A private sustainable partner selection model for green public-private partnerships and regional economic development. <i>Socio-Economic Planning Sciences</i>, <i>83</i>, Article 101189. <a href=\"https://doi.org/10.1016/j.seps.2021.101189\">https://doi.org/10.1016/j.seps.2021.101189</a>"},"intvolume":"        83","year":"2022","publication_status":"published","publication_identifier":{"issn":["0038-0121"]},"language":[{"iso":"eng"}],"article_number":"101189","keyword":["Management Science and Operations Research","Statistics","Probability and Uncertainty","Strategy and Management","Economics and Econometrics","Geography","Planning and Development"],"user_id":"51811","department":[{"_id":"277"}],"_id":"53238","status":"public","type":"journal_article","publication":"Socio-Economic Planning Sciences"},{"title":"A multicriteria-optimization model for cultural heritage renovation projects and public-private partnerships in the hospitality industry","doi":"10.1080/13683500.2021.2015299","date_updated":"2024-04-15T13:17:05Z","publisher":"Informa UK Limited","date_created":"2024-04-04T15:51:30Z","author":[{"full_name":"Tavana, Madjid","id":"31858","last_name":"Tavana","first_name":"Madjid"},{"first_name":"Abdolreza","last_name":"Azadmanesh","full_name":"Azadmanesh, Abdolreza"},{"last_name":"Nasr","full_name":"Nasr, Arash Khalili","first_name":"Arash Khalili"},{"first_name":"Hassan","full_name":"Mina, Hassan","last_name":"Mina"}],"volume":25,"year":"2022","citation":{"chicago":"Tavana, Madjid, Abdolreza Azadmanesh, Arash Khalili Nasr, and Hassan Mina. “A Multicriteria-Optimization Model for Cultural Heritage Renovation Projects and Public-Private Partnerships in the Hospitality Industry.” <i>Current Issues in Tourism</i> 25, no. 22 (2022): 3709–34. <a href=\"https://doi.org/10.1080/13683500.2021.2015299\">https://doi.org/10.1080/13683500.2021.2015299</a>.","ieee":"M. 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