Asymptotic Behavior of the Fundamental Solutions for Critical Schrodinger Forms

被引：0

作者：

Wada, Masaki ^{[1
]}

机构：

[1] Fukushima Univ, Fac Culture & Human Dev, Fukushima 9601296, Japan

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2021年 / 34卷 / 04期

基金：

日本学术振兴会;

关键词：

Schrodinger form; Critical perturbation; Large-time asymptotics; LARGE TIME BEHAVIOR; HEAT KERNELS;

D O I：

10.1007/s10959-020-01027-8

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let {X-t}(t >= 0) be a transient a-stable process on R-d and denote by H its generator. We consider the perturbation of the operator H by a positive measure mu from a certain class and denote by p(mu)(t, x, y) the corresponding fundamental solution. We obtain the precise asymptotics of p mu(t, x, y) as t -> infinity for critical mu, which is an extension of Pinchover (J Funct Anal 206:191-209, 2004).

引用

页码：1951 / 1958

页数：8

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