Global higher integrability for parabolic quasiminimizers in metric spaces

Published 24 Feb 2013 in math.AP | (1302.5962v1)

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 Poincar\'e-inequality.

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