Global higher integrability for parabolic quasiminimizers in metric spaces
Analysis of PDEs
2013-02-26 v1
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.
Keywords
Cite
@article{arxiv.1302.5962,
title = {Global higher integrability for parabolic quasiminimizers in metric spaces},
author = {Mathias Masson and Mikko Parviainen},
journal= {arXiv preprint arXiv:1302.5962},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1301.2945