Regularity results for nonlocal equations by approximation
Analysis of PDEs
2010-03-31 v2
Abstract
In this paper we prove a nonlocal version of the Cordes-Niremberg estimates. We use it to extend our previous regularity results for fully nonlinear integro-differential equations to the variable coefficient case and several other settings where the equation can be thought of as a perturbation of the translation invariant case.
Cite
@article{arxiv.0902.4030,
title = {Regularity results for nonlocal equations by approximation},
author = {Luis Caffarelli and Luis Silvestre},
journal= {arXiv preprint arXiv:0902.4030},
year = {2010}
}