Heat Content for Stable Processes in Domains of Rd

被引：0

作者：

Acuna Valverde, Luis ^{[1
]}

机构：

[1] Univ Costa Rica, Dept Math, San Jose, Costa Rica

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2017年 / 27卷 / 01期

关键词：

Stable processes; Heat kernels; Heat content; Heat trace; Expansions; SCHRODINGER-OPERATORS; BROWNIAN-MOTION; TRACE; ASYMPTOTICS; INEQUALITY; BOUNDARY; EQUATION; SETS;

D O I：

10.1007/s12220-016-9688-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the small time behavior of the heat content for rotationally invariant alpha-stable processes, 0 < alpha <= 2, in domains of R-d. Unlike the asymptotics for the heat trace, the behavior of the heat content differs depending on the range of alpha according to 0 < alpha < 1, alpha = 1 and 1 < alpha <= 2.

引用

页码：492 / 524

页数：33