Cross Diffusion Systems: Dynamics, Coexistence and Persistence

✍ Scribed by Dung Le

Publisher: De Gruyter
Year: 2022
Tongue: English
Leaves: 236
Series: De Gruyter Nonlinear Analysis and Applications
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.

✦ Table of Contents

Contents
1 Introduction
2 Preliminaries
3 Existence results for cross-diffusion systems
4 Scalar techniques and diagonalization
5 Existence of solutions to general elliptic systems
6 Existence of solutions to elliptic systems of two equations
7 Persistence in the dynamics of evolution processes
Bibliography
Index

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