2 citations · 4 across the 20 of their papers we have counts for
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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…
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…
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…
On the Global Existence of a Class of Strongly Coupled Parabolic Systems
Dung Le
We establish the existence of strong solutions to a class of cross diffusion systems on $\RR^N$ consists of equations (). which generalizes the Shigesada-Kawasaki-Ter…
On the Continuity of Bounded Weak Solutions to Parabolic Equations and Systems with Quadratic Growth in Gradients
Dung Le
We establish the pointwise continuity of bounded weak solutions to of a class of scalar parabolic equations and strongly coupled parabolic systems. Our approach to the regularity t…
On the Global Existence of a Class of Strongly Coupled Parabolic Systems
Dung Le
We establish the global existence of a class of strongly coupled parabolic systems. The necessary apriori estimates will be obtained via our new approach to the regularity theory o…