Regularity for anisotropic fully nonlinear integro-differential equations
Analysis of PDEs
2013-11-05 v1
Abstract
We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior regularity, extending the results of [Caffarelli and Silvestre, CPAM 62, 2009] to the anisotropic case.
Cite
@article{arxiv.1311.0795,
title = {Regularity for anisotropic fully nonlinear integro-differential equations},
author = {Luis A. Caffarelli and Raimundo Leitão and José Miguel Urbano},
journal= {arXiv preprint arXiv:1311.0795},
year = {2013}
}