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Strongly Coupled Parabolic and Elliptic Systems

Existence and Regularity of Strong and Weak Solutions

Dung Le (Autor)

Buch | Hardcover

X, 185 Seiten

2018
De Gruyter (Verlag)
978-3-11-060715-4 (ISBN)

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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 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

Dung Le, University of Texas at San Antonio, USA.

Erscheinungsdatum	14.11.2018
Reihe/Serie	De Gruyter Series in Nonlinear Analysis and Applications ; 28
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	502 g
Themenwelt	Geisteswissenschaften ► Sprach- / Literaturwissenschaft ► Sprachwissenschaft
Schlagworte	Diffusion • Gekoppeltes System • Nichtlineare elliptische Differentialgleichung • Nichtlineare parabolische Differentialgleichung • System von partiellen Differentialgleichungen
ISBN-10	3-11-060715-8 / 3110607158
ISBN-13	978-3-11-060715-4 / 9783110607154
Zustand	Neuware