Some Maximum Principles for Cross Diffusion Systems

2023/04/17 by Dung T. Le, Le, Dung
Computer Science · Mathematics · #35B65 #35J70 #42B37 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2304.08262

openalex publication_date 2023/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish certain maximum principles for a class of strongly coupled elliptic (or cross diffusion) systems of m≥2 equations. The reaction parts can be non cooperative. These new results will be crucial in obtaining coexistence and persistence for many models with cross diffusion effects.

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