2 citations · 3 across the 3 of their papers we have counts for
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On the smallness of mean oscillations and regularity of weak solutions to regular/degenerate strongly coupled parabolic systems
Dung Le
It will be established that the mean oscillation of bounded weak solutions to strongly coupled parabolic systems is small in small balls. If the systems are regular elliptic then t…
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…
Local and Global Existence of Strong Solutions to Large Cross Diffusion Systems
Dung Le
We study the solvability of a general class of cross diffusion systems and establish the local and global existence of their strong solutions under the weakest assumption that they…
Global Existence and Regularity Results for Strongly Coupled Nonregular Parabolic Systems via Iterative Methods
Dung Le
The global existence of classical solutions to strongly coupled parabolic systems is shown to be equivalent to the availability of an iterative scheme producing a sequence of solut…