On the modulus of continuity of solutions to nonlocal parabolic equations

被引：3

作者：

Liao, Naian ^{[1
]}

机构：

[1] Paris Lodron Univ Salzburg, Fachbereich Math, Hellbrunner Str 34, A-5020 Salzburg, Austria

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2024年 / 110卷 / 03期

关键词：

REGULARITY;

D O I：

10.1112/jlms.12985

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A general modulus of continuity is quantified for locally bounded, local, weak solutions to nonlocal parabolic equations, under a minimal tail condition. H & ouml;lder modulus of continuity is then deduced under a slightly stronger tail condition. These regularity estimates are demonstrated under the framework of nonlocal p$p$-Laplacian with measurable kernels.

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页数：30

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