Holder continuity of harmonic functions with respect to operators of variable order

被引：86

作者：

Bass, RF ^{[1
]}

Kassmann, M

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Univ Bonn, Inst Angew Math, D-5300 Bonn, Germany

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 30卷 / 08期

基金：

美国国家科学基金会;

关键词：

continuity estimates; harmonic functions; Markov jump processes; Martingale problem; regularity;

D O I：

10.1080/03605300500257677

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of integrodifferential operators and their corresponding harmonic functions. Under mild assumptions on the family of jump measures we prove a priori estimates and establish Holder continuity of bounded functions that are harmonic in a domain.

引用

页码：1249 / 1259

页数：11

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