Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems
Wontae Kim, Juha Kinnunen, Kristian Moring
Abstract
Abstract We prove a local higher integrability result for the gradient of a weak solution to degenerate parabolic double-phase systems of p -Laplace type. This result comes with reverse Hölder type estimates. The proof is based on a careful phase analysis, estimates in the intrinsic geometries and stopping time arguments.
Topics & Concepts
Degenerate energy levelsLaplace transformType (biology)MathematicsMathematical analysisPhase (matter)Complex systemParabolic partial differential equationPhysicsPartial differential equationQuantum mechanicsComputer scienceArtificial intelligenceEcologyBiologyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems