A Holder estimate with an optimal tail for nonlocal parabolic p-Laplace equations

被引：7

作者：

Byun, Sun-Sig ^{[1
]}

Kim, Kyeongbae ^{[2
]}

机构：

[1] Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea

[2] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2024年 / 203卷 / 01期

关键词：

Nonlocal; Holder regularity; Nonlinear; Parabolic; Nonlocal tail; REGULARITY;

D O I：

10.1007/s10231-023-01355-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a weak solution of a homogeneous nonlocal parabolic equation of the p-Laplacian type. We identify a minimal regularity assumption on the associated parabolic nonlocal tail for which the weak solution enjoys Holder's regularity.

引用

页码：109 / 147

页数：39

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