Heat content estimates for the fractional Schrodinger operator (-Δ)α/2 + c1Ω, c > 0

被引：2

作者：

Acuna Valverde, Luis ^{[1
]}

机构：

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

来源：

JOURNAL OF SPECTRAL THEORY | 2020年 / 10卷 / 02期

关键词：

Isotropic stable processes; spectral heat content; heat content; Schrodinger operator; Fractional Laplacian; set of finite perimeter; alpha-perimeter; SETS; ASYMPTOTICS; PERIMETER; TRACE;

D O I：

10.4171/JST/306

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes by employing analytic and probabilistic techniques estimates concerning the heat content for the fractional Schrodinger operator (-Delta)(alpha/2) + c1(Omega) with 0 < alpha <= 2 in R-d, c > 0, d >= 2 and Omega a Lebesgue measure set satisfying some regularity conditions.

引用

页码：599 / 616

页数：18

共 31 条

[1]

Valverde LA, 2017, J GEOM ANAL, V27, P492, DOI 10.1007/s12220-016-9688-9

[2] On the one dimensional spectral Heat content for stable processes [J].