THE PARABOLIC HARNACK INEQUALITY FOR NONLOCAL EQUATIONS

被引：0
|
作者：
Kassmann, Moritz [1 ]
Weidner, Marvin [2 ]
机构：
[1] Univ Bielefeld, Fak Math, Bielefeld, Germany
[2] Univ Barcelona, Dept Matemat & Informat, Barcelona, Spain
来源：
DUKE MATHEMATICAL JOURNAL | 2024年 / 173卷 / 17期
基金：
欧洲研究理事会;
关键词：
NONLINEAR INTEGRODIFFERENTIAL OPERATORS; HEAT KERNELS; REGULARITY THEORY; FORMS;
D O I：
10.1215/00127094-2024-0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We complete the local regularity program for weak solutions to linear parabolic nonlocal equations with bounded measurable coefficients. Within the variational framework we prove the parabolic Harnack inequality and H & ouml;lder regularity estimates. We discuss in detail the shortcomings of previous results in this direction. The key element of our approach is a fine study of the nonlocal tail term.
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页码：3413 / 3451
页数：39
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