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
收藏
页码：492 / 524
页数：33
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