Regularity for solutions of non local parabolic equations
Analysis of PDEs
2012-05-17 v2
Abstract
We study the regularity of solutions of parabolic fully nonlinear nonlocal equations. We proof Holder regularity in space and time and for translation invariant equations and under different assumptions on the kernels Holder regularity for the spatial derivatives. The proofs rely on a weak parabolic ABP inspired in recent work done by L. Silvestre and the classic ideas of K. Tso and L. Wang. Our results remain uniform as the order of the equation goes to 2 allowing us to understand the non local theory as an extension to the classical one.
Keywords
Cite
@article{arxiv.1109.3247,
title = {Regularity for solutions of non local parabolic equations},
author = {Héctor A. Chang Lara and Gonzalo Dávila},
journal= {arXiv preprint arXiv:1109.3247},
year = {2012}
}
Comments
The point estimates has been corrected in this version