Strongly Coupled Parabolic and Elliptic Systems : : Existence and Regularity of Strong and Weak Solutions / / 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 unif...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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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 |
Online Access: | |
Physical Description: | 1 online resource (X, 185 p.) |
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Table of Contents:
- 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