Local H\"older continuity for doubly nonlinear parabolic equations
Analysis of PDEs
2015-03-17 v2
Abstract
We give a proof of the H\"older continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling non-trivial Borel measure which supports a Poincar\'e inequality. The proof discriminates between large scales, for which a Harnack inequality is used, and small scales, that require intrinsic scaling methods.
Cite
@article{arxiv.1006.0781,
title = {Local H\"older continuity for doubly nonlinear parabolic equations},
author = {Tuomo Kuusi and Juhana Siljander and José Miguel Urbano},
journal= {arXiv preprint arXiv:1006.0781},
year = {2015}
}