Strongly Coupled Parabolic and Elliptic Systems
ebook ∣ Existence and Regularity of Strong and Weak Solutions · De Gruyter Series in Nonlinear Analysis and Applications
By Dung Le
Sign up to save your library
With an OverDrive account, you can save your favorite libraries for at-a-glance information about availability. Find out more about OverDrive accounts.
Share
Find this title in Libby, the library reading app by OverDrive.
Search for a digital library with this title
Title found at these libraries:
| Library Name | Distance |
|---|---|
| Loading... |
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
Share
