%0 Journal Article
%T Higher regularity of Holder continuous solutions of parabolic equations with singular drift velocities
%A Susan Friedlander
%A Vlad Vicol
%J Mathematics
%D 2011
%I arXiv
%R 10.1007/s00021-011-0054-1
%X 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.
%U http://arxiv.org/abs/1102.0585v1