Higher regularity of Holder continuous solutions of parabolic equations with singular drift velocities
Analysis of PDEs
2015-05-27 v1
Abstract
Motivated by an equation arising in magnetohydrodynamics, we prove that Holder continuous weak solutions of a nonlinear parabolic equation with singular drift velocity are classical solutions. The result is proved using the space-time Besov spaces introduced by Chemin and Lerner, combined with energy estimates, without any minimality assumption on the Holder exponent of the weak solutions.
Keywords
Cite
@article{arxiv.1102.0585,
title = {Higher regularity of Holder continuous solutions of parabolic equations with singular drift velocities},
author = {Susan Friedlander and Vlad Vicol},
journal= {arXiv preprint arXiv:1102.0585},
year = {2015}
}