Strongly Coupled Parabolic and Elliptic Systems: Existence and Regularity of Strong and Weak Solutions
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unif...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2018]
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| Series: | De Gruyter Series in Nonlinear Analysis and Applications
28 |
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-706 DE-739 Volltext |
| Summary: | Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) |
| Physical Description: | 1 online resource (195 pages) |
| ISBN: | 9783110608762 |
| DOI: | 10.1515/9783110608762 |
Staff View
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| indexdate | 2025-02-19T17:24:44Z |
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| isbn | 9783110608762 |
| language | English |
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| spelling | Le, Dung Verfasser aut Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions Dung Le Berlin ; Boston De Gruyter [2018] © 2019 1 online resource (195 pages) txt rdacontent c rdamedia cr rdacarrier De Gruyter Series in Nonlinear Analysis and Applications 28 Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity In English Diffusion Gekoppeltes System Nichtlineare elliptische Differentialgleichung Nichtlineare parabolische Differentialgleichung System von partiellen Differentialgleichungen Control theory Coupled mode theory Differential equations, Elliptic Differential equations, Parabolic Gekoppeltes System (DE-588)4414616-4 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 s Gekoppeltes System (DE-588)4414616-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9783110607154 https://doi.org/10.1515/9783110608762 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Le, Dung Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions Diffusion Gekoppeltes System Nichtlineare elliptische Differentialgleichung Nichtlineare parabolische Differentialgleichung System von partiellen Differentialgleichungen Control theory Coupled mode theory Differential equations, Elliptic Differential equations, Parabolic Gekoppeltes System (DE-588)4414616-4 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| subject_GND | (DE-588)4414616-4 (DE-588)4323967-5 |
| title | Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions |
| title_auth | Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions |
| title_exact_search | Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions |
| title_full | Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions Dung Le |
| title_fullStr | Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions Dung Le |
| title_full_unstemmed | Strongly Coupled Parabolic and Elliptic Systems Existence and Regularity of Strong and Weak Solutions Dung Le |
| title_short | Strongly Coupled Parabolic and Elliptic Systems |
| title_sort | strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions |
| title_sub | Existence and Regularity of Strong and Weak Solutions |
| topic | Diffusion Gekoppeltes System Nichtlineare elliptische Differentialgleichung Nichtlineare parabolische Differentialgleichung System von partiellen Differentialgleichungen Control theory Coupled mode theory Differential equations, Elliptic Differential equations, Parabolic Gekoppeltes System (DE-588)4414616-4 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| topic_facet | Diffusion Gekoppeltes System Nichtlineare elliptische Differentialgleichung Nichtlineare parabolische Differentialgleichung System von partiellen Differentialgleichungen Control theory Coupled mode theory Differential equations, Elliptic Differential equations, Parabolic Reaktions-Diffusionsgleichung |
| url | https://doi.org/10.1515/9783110608762 |
| work_keys_str_mv | AT ledung stronglycoupledparabolicandellipticsystemsexistenceandregularityofstrongandweaksolutions |