Analyticity for solution of fractional integro-differential equations

被引：0
|
作者：
Blatt, Simon [1 ]
机构：
[1] Paris Lodron Univ Salzburg, Dept Math, Hellbrunner Str 34, A-5020 Salzburg, Austria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 224卷
基金：
奥地利科学基金会;
关键词：
Integro-differential equations; Fractional Laplacian; Non-linear elliptic equation; Real analytic solutions; Faa di Bruno's formula; Method of majorants; LINEAR ELLIPTIC SYSTEMS; REGULARITY;
D O I：
10.1016/j.na.2022.113071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for a certain class of kernels K(y) viscosity solutions of the integro-differential equation. integral(n)(R) (u(x + y) - 2u(x) + u(x - y))K(y) dy = f(x, u(x)) are locally analytic if f is an analytic function. This extends results in Albanese et al. (2015) in which it was shown that such solutions belong to certain Gevrey classes. (c) 2022 TheAuthor(s). Published by Elsevier Ltd. This is an open access article under theCCBYlicense (http://creativecommons.org/licenses/by/4.0/).
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