Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Abstract

We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak $(1,p)$-Poincaré inequality and to satisfy the annular decay property.

References in corpus (2)

• Local Hölder continuity for doubly nonlinear parabolic equations
• Hölder continuity for Trudinger's equation in measure spaces