Cross diffusion systems : dynamics, coexistence and persistence / Dung Le.

Format:

Book

Author/Creator:

Le, Dung (Mathematics professor), author.

Series:

De Gruyter series in nonlinear analysis and applications

De Gruyter Series in Nonlinear Analysis and Applications ; v.40

Language:

English

Subjects (All):

Mathematical analysis.

Reaction-diffusion equations.

Physical Description:

1 online resource (236 pages)

Place of Publication:

Boston, Massachusetts : De Gruyter, [2022]

Summary:

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.

Contents:

Frontmatter

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

ISBN:

3-11-079513-2

OCLC:

1348488592