ENGLISH

Cross Diffusion Systems: Dynamics, Coexistence and Persistence

By Dung Le

Book information

Publisher
de Gruyter
Year
2022
ISBN
3110794985, 9783110794984
Language
english
Format
PDF
Filesize
4 MB (4294664 bytes)
Series
De Gruyter Nonlinear Analysis and Applications
Pages
236\236
Time added
2022-10-19 10:14:35

Description

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 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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