On regularity for Beurling-Deny type Dirichlet forms

被引：6

作者：

Kassmann, M ^{[1
]}

机构：

[1] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

来源：

POTENTIAL ANALYSIS | 2003年 / 19卷 / 01期

关键词：

Dirichlet forms; Harnack inequality; Beurling-Deny formula; Holder regularity; integrodifferential operators;

D O I：

10.1023/A:1022486631020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Characteristic examples of Beurling-Deny type Dirichlet forms are considered. The forms are identified with bilinear forms of integro-differential operators that arise as generators of jump-diffusion processes. The aim of this article is to prove Harnack inequalities for these operators and consequently Holder regularity of weak H-1-solutions. Moser's iteration technique is used.

引用

页码：69 / 87

页数：19

共 35 条

[1] Invariant measures and symmetry property of Levy type operators [J].