$C^{1,\alpha}$ Interior Regularity for Nonlinear Nonlocal Elliptic Equations With Rough Kernels
Analysis of PDEs
2014-04-07 v1
Abstract
We prove a interior regularity theorem for fully nonlinear uniformly elliptic integro-differential equations without assuming any regularity of the kernel. We then give some applications to linear theory and higher regularity of a special class of nonlinear operators.
Keywords
Cite
@article{arxiv.1304.7525,
title = {$C^{1,\alpha}$ Interior Regularity for Nonlinear Nonlocal Elliptic Equations With Rough Kernels},
author = {Dennis Kriventsov},
journal= {arXiv preprint arXiv:1304.7525},
year = {2014}
}
Comments
23 pages, submitted, Communications in PDE