Analyticity for Solution of Integro-Differential Operators
Analysis of PDEs
2020-09-17 v1
Abstract
We prove that for a certain class of kernels that viscosity solutions of the integro-differential equation are locally analytic if is an analytic function. This extends the result of Albanese, Fiscella, Valdinoci that such solutions belong to certain Gevrey classes.
Cite
@article{arxiv.2009.07673,
title = {Analyticity for Solution of Integro-Differential Operators},
author = {Simon Blatt},
journal= {arXiv preprint arXiv:2009.07673},
year = {2020}
}