Fully nonlinear integro-differential equations with deforming kernels
Analysis of PDEs
2020-03-03 v2
Abstract
We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge-Amp\`{e}re equation. We prove an ABP estimate and a Harnack inequality and derive H\"{o}lder and regularity results for solutions.
Cite
@article{arxiv.1809.06821,
title = {Fully nonlinear integro-differential equations with deforming kernels},
author = {Luis Caffarelli and Rafayel Teymurazyan and José Miguel Urbano},
journal= {arXiv preprint arXiv:1809.06821},
year = {2020}
}
Comments
27 pages