Harnack inequalities for jump processes

被引：159

作者：

Bass, RF ^{[1
]}

Levin, DA ^{[1
]}

机构：

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

来源：

POTENTIAL ANALYSIS | 2002年 / 17卷 / 04期

基金：

美国国家科学基金会;

关键词：

Harnack inequality; jump processes; stable processes; Levy systems; integral equations;

D O I：

10.1023/A:1016378210944

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of pure jump Markov processes in R-d whose jump kernels are comparable to those of symmetric stable processes. We establish a Harnack inequality for nonnegative functions that are harmonic with respect to these processes. We also establish regularity for the solutions to certain integral equations.

引用

页码：375 / 388

页数：14

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