Strongly Coupled Parabolic and Elliptic Systems

Existence and Regularity of Strong and Weak Solutions
1. Auflage 2018
ISBN: 978-3-11-060715-4
Verlag: De Gruyter

Buch, Englisch, Band 28, 185 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 524 g

Reihe: De Gruyter Series in Nonlinear Analysis and Applications

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

Zielgruppe

Researchers and graduate students in partial differential equatio

Autoren/Hrsg.

Le, Dung

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

Dung Le, University of Texas at San Antonio, USA.