Author : Dung Le
Release : 2018-11-05
Genre : Mathematics
Kind : eBook
Book Rating : 766/5 ( reviews)
Book Synopsis Strongly Coupled Parabolic and Elliptic Systems by : Dung Le
Download or read book Strongly Coupled Parabolic and Elliptic Systems written by Dung Le. This book was released on 2018-11-05. Available in PDF, EPUB and Kindle. Book excerpt: 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
