Regularity of solutions for the critical $N$-dimensional Burgers' equation
Analysis of PDEs
2008-11-10 v3
Abstract
We consider the fractional Burgers' equation on 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 .
Cite
@article{arxiv.0810.3055,
title = {Regularity of solutions for the critical $N$-dimensional Burgers' equation},
author = {Chi Hin Chan and Magdalena Czubak},
journal= {arXiv preprint arXiv:0810.3055},
year = {2008}
}
Comments
31 pages; corrected one of the references, and fixed some typos