%0 Journal Article
%T Regularity of solutions for the critical $N$-dimensional Burgers' equation
%A Chi Hin Chan
%A Magdalena Czubak
%J Mathematics
%D 2008
%I arXiv
%X We consider the fractional Burgers' equation on $\R^N$ with the critical dissipation term. We follow the parabolic De-Giorgi's method of Caffarelli and Vasseur \cite{Driftdiffusion} and show existence of smooth solutions given any initial datum in $L^2(\R^N)$.
%U http://arxiv.org/abs/0810.3055v3