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Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions by Dung Le; Walter de Gruyter GmbH & Co. KG is a nonfiction available to read on EtoBox.

What is Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions about?

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__)–__H__1(__μ__)| Some algebraic inequalities Partial regularity * An authoritative monograph on the analysis of strongly-coupled systems * Presents results on the solvability and regularity of solutions in the system case * Of interest to researchers and graduate students working in partial differential equations

Who reads Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions?

Author

Dung Le; Walter de Gruyter GmbH & Co. KG

Publisher

de Gruyter GmbH, Walter

Published

2018

Language

EN

ISBN

9783110607178

Category

nonfiction

Subjects

Mathematics, Stem