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math.AP2023
A priori Bound of Solutions to a Class of Elliptic/Parabolic Cross Diffusion Systems of Equations on Two/Three Dimensional Domains. Existence on thin domains
Dung Le
We establish several bounds for solutions to elliptic/parabolic cross-diffusion systems of equations () on 2d/3d domains $\Og$. We settle the existence and global existe…
math.AP2023
Strong Persistence of a Class of Strongly Coupled Parabolic Systems of Equations
Dung Le
We establish one of the most important assumptions of the strong persistence theory for dynamical systems associated to cross diffusion systems of equations (): the stab…
math.AP2023
Some Maximum Principles for Cross Diffusion Systems
Dung Le
We establish certain maximum principles for a class of strongly coupled elliptic (or cross diffusion) systems of equations. The reaction parts can be non cooperative. These…