Strongly Coupled Parabolic and Elliptic Systems : : Existence and Regularity of Strong and Weak Solutions / / Dung Le.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
• VerfasserIn: Le, Dung,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2018]; ©2019
• Year of Publication: 2018
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 28
• Physical Description: 1 online resource (X, 185 p.)
• Other title: Frontmatter --; Preface --; Contents --; 1. Introduction --; 2. Interpolation Gagliardo–Nirenberg inequalities --; 3. The parabolic systems --; 4. The elliptic systems --; 5. Cross-diffusion systems of porous media type --; 6. Nontrivial steady-state solutions --; A The duality RBMO(μ)–H1(μ) --; B Some algebraic inequalities --; C Partial regularity --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110608762; 9783110762464; 9783110719567; 9783110647099; 9783110616859; 9783110604252; 9783110603255; 9783110604191; 9783110603194
• ISSN: 0941-813X
• DOI: 10.1515/9783110608762
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Dung Le.

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