Holder estimates for advection fractional-diffusion equations
Analysis of PDEs
2011-04-26 v2
Abstract
We analyse conditions for an evolution equation with a drift and fractional diffusion to have a Holder continuous solution. In case the diffusion is of order one or more, we obtain Holder estimates for the solution for any bounded drift. In the case when the diffusion is of order less than one, we require the drift to be a Holder continuous vector field in order to obtain the same type of regularity result.
Cite
@article{arxiv.1009.5723,
title = {Holder estimates for advection fractional-diffusion equations},
author = {Luis Silvestre},
journal= {arXiv preprint arXiv:1009.5723},
year = {2011}
}
Comments
some typos fixed