Global Dirichlet Heat Kernel Estimates for Symmetric Levy Processes in Half-Space

被引：10

作者：

Chen, Zhen-Qing ^{[1
]}

Kim, Panki ^{[2
,3
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

[2] Seoul Natl Univ, Dept Math Sci, Bldg 27,1 Gwanak Ro, Seoul 08826, South Korea

[3] Seoul Natl Univ, Res Inst Math, Bldg 27,1 Gwanak Ro, Seoul 08826, South Korea

来源：

ACTA APPLICANDAE MATHEMATICAE | 2016年 / 146卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Dirichlet heat kernel; Transition density; Survival probability; Exit time; Levy system; Levy process; Symmetric Levy process; RELATIVISTIC STABLE PROCESSES; METRIC MEASURE-SPACES; JUMP-PROCESSES; OPEN SETS; FRACTIONAL LAPLACIAN;

D O I：

10.1007/s10440-016-0061-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels of a large class of symmetric (but not necessarily rotationally symmetric) Levy processes on half spaces for all . These L,vy processes may or may not have Gaussian component. When Levy density is comparable to a decreasing function with damping exponent, our estimate is explicit in terms of the distance to the boundary, the Levy exponent and the damping exponent of Levy density.

引用

页码：113 / 143

页数：31

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