Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradients

被引：0
|
作者：
Renming Song
Longjie Xie
Yingchao Xie
机构：
[1] University of Illinois at Urbana-Champaign,Department of Mathematics
[2] Jiangsu Normal University,School of Mathematics and Statistics
来源：
Science China Mathematics | 2020年 / 63卷
关键词：
spectral fractional Laplacian; Dirichlet heat kernel; Kato class; gradient estimate; 60J35; 60J50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using Duhamel’s formula, we prove sharp two-sided estimates for the spectral fractional Laplacian’s heat kernel with time-dependent gradient perturbation in bounded C1,1 domains. In addition, we obtain a gradient estimate as well as the Hölder continuity of the heat kernel’s gradient.
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页码：2343 / 2362
页数：19
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