Local higher integrability for parabolic quasiminimizers in metric spaces
Analysis of PDEs
2013-01-18 v2
Abstract
Using variational methods, we prove local higher integrability for the minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces. We assume the measure to be doubling and the underlying space to be such that a weak Poincar\'e inequality is supported. We give proofs to density results concerning the space of test functions used when proving estimates for parabolic quasiminimizers.
Keywords
Cite
@article{arxiv.1301.2945,
title = {Local higher integrability for parabolic quasiminimizers in metric spaces},
author = {Mathias Masson and Michele Miranda and Fabio Paronetto and Mikko Parviainen},
journal= {arXiv preprint arXiv:1301.2945},
year = {2013}
}