Global higher integrability for parabolic quasiminimizers in metric spaces

Abstract

We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces, related to the heat equation. We assume the underlying metric measure space to be equipped with a doubling measure and to support a weak Poincaré-inequality.

arXiv admin note: substantial text overlap with arXiv:1301.2945