Regularity results for fully nonlinear parabolic integro-differential operators
Analysis of PDEs
2011-10-14 v2
Abstract
In this paper, we consider the regularity theory for fully nonlinear parabolic integro-differential equations with symmetric kernels. We are able to find parabolic versions of Alexandrov-Backelman-Pucci estimate with 0<\sigma<2. And we show a Harnack inequality, H\"older regularity, and C^{1,\alpha}-regularity of the solutions by obtaining decay estimates of their level sets.
Cite
@article{arxiv.1109.3807,
title = {Regularity results for fully nonlinear parabolic integro-differential operators},
author = {Yong-Cheol Kim and Ki-Ahm Lee},
journal= {arXiv preprint arXiv:1109.3807},
year = {2011}
}