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
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Differentialrechnung und -gleichungen
• ISBN: 9783110607154
• Sprache: Englisch
• Erscheinungsdatum: 05.11.2018
• Größe: 24 x 17 cm
• Verlag: De Gruyter