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Strongly Coupled Parabolic and Elliptic Systems: Existence and Regularity of Strong and Weak Solutions: 28 (de Gruyter Series in Nonlinear Analysis and Applications) (in English)
Dung Le (Author)
·
De Gruyter
· Hardcover
Strongly Coupled Parabolic and Elliptic Systems: Existence and Regularity of Strong and Weak Solutions: 28 (de Gruyter Series in Nonlinear Analysis and Applications) (in English) - Dung Le
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Synopsis "Strongly Coupled Parabolic and Elliptic Systems: Existence and Regularity of Strong and Weak Solutions: 28 (de Gruyter Series in Nonlinear Analysis and Applications) (in English)"
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 GagliardoNirenberg 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
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The book is written in English.
The binding of this edition is Hardcover.
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