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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
Walter de Gruyter GmbH,
[2019]
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| Colección: | De Gruyter series in nonlinear analysis and applications ;
28. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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(o)-H1(o). |
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| Descripción Física: | 1 online resource (x, 184 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9783110608762 3110608766 9783110607178 3110607174 |