Strongly Coupled Parabolic and Elliptic Systems

Existence and Regularity of Strong and Weak Solutions

von Dung Le

185 Seiten, Hardcover

Kurzbeschreibung des Verlags

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

• Reihe: De Gruyter Series in Nonlinear Analysis and Applications
• ISBN: 9783110607154
• Sprache: Englisch
• Erscheinungsdatum: 05.11.2018
• Genre: Mathematik/Analysis
• Verlag: De Gruyter