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

被引：2
|
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.
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页码：109 / 147
页数：39
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