Gradient Hölder regularity for degenerate parabolic systems
Verena Bögelein, Frank Duzaar, Naian Liao, Christoph Scheven
Abstract
We establish the local Hölder regularity of the spatial gradient of weak solutions to a class of general, degenerate parabolic systems. Our results can be regarded as a generalization of the fundamental work by DiBenedetto and Friedman (1985).
Topics & Concepts
Degenerate energy levelsGeneralizationMathematicsParabolic partial differential equationClass (philosophy)Mathematical analysisHölder conditionWork (physics)Pure mathematicsPhysicsComputer sciencePartial differential equationThermodynamicsArtificial intelligenceQuantum mechanicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems