Regularity for Fully Nonlinear P-Laplacian Parabolic Systems: the Degenerate Case
Dung Le
TL;DR
This paper investigates the regularity properties of solutions to a class of strongly coupled degenerate parabolic systems, focusing on establishing Hölder continuity in the degenerate case.
Contribution
It provides new regularity results for fully nonlinear P-Laplacian parabolic systems in the degenerate setting, extending previous understanding of solution smoothness.
Findings
Established Hölder regularity for solutions
Extended regularity theory to degenerate systems
Provided new techniques for analyzing degenerate parabolic systems
Abstract
This paper studies H\"older regularity property of bounded weak solutions to a class of strongly coupled degenerate parabolic systems.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Stability and Controllability of Differential Equations