TY  - BOOK
AU  - Le,Dung
TI  - Cross Diffusion Systems: Dynamics, Coexistence and Persistence 
T2  - De Gruyter Series in Nonlinear Analysis and Applications ,
SN  - 9783110795134
PY  - 2022///]
CY  - Berlin, Boston
PB  - De Gruyter, 
KW  - MATHEMATICS / Mathematical Analysis
KW  - bisacsh
KW  - MATHEMATICS / Differential Equations / General
KW  - Cross diffusion systems
KW  - elliptic systems
KW  - dynamics of evolution processes
KW  - Kreuzdiffusionssysteme
KW  - Elliptische Systeme
KW  - Biologische Modellierung
KW  - Cross diffusion systems, elliptic systems, dynamics of evolution processes
N1  - 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; restricted access
N2  - 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
UR  - https://www.degruyterbrill.com/isbn/9783110795134
UR  - https://www.degruyterbrill.com/document/cover/isbn/9783110795134/original
ER  -