论非局部抛物方程解的连续性模量

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-09-10 DOI:10.1112/jlms.12985

Naian Liao

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引用次数: 0

摘要

在最小尾部条件下，量化了非局部抛物方程的局部有界、局部弱解的一般连续性模量。然后在稍强的尾部条件下推导出霍尔德连续性模量。这些正则性估计在具有可测核的非局部 p $p$ -拉普拉奇框架下得到了证明。

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On the modulus of continuity of solutions to nonlocal parabolic equations

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

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.