Strongly Coupled Parabolic and Elliptic Systems
Existence and Regularity of Strong and Weak Solutions
(Sprache: Englisch)
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...
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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 GagliardöNirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(¿)¿H1(¿)| Some algebraic inequalities Partial regularity
Autoren-Porträt von Dung Le
Dung Le, University of Texas at San Antonio, USA.
Bibliographische Angaben
- Autor: Dung Le
- 2018, X, 185 Seiten, Maße: 17,5 x 24,6 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110607158
- ISBN-13: 9783110607154
- Erscheinungsdatum: 05.11.2018
Sprache:
Englisch
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