Heat Kernel Estimates of Fractional Schrödinger Operators with Hardy Potential on Half-line

IF 1 3区数学 Q1 MATHEMATICS

Potential Analysis Pub Date : 2024-09-14 DOI:10.1007/s11118-024-10163-3

Tomasz Jakubowski, Paweł Maciocha

引用次数: 0

Abstract

We provide sharp two-sided estimates of the heat kernel of the Dirichlet fractional Laplacian on the half-line perturbed by a Hardy potential.

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半线上具有哈迪势的分数薛定谔算子的热核估计

我们对受哈代势能扰动的半线上的狄利克特分数拉普拉奇的热核进行了尖锐的双面估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Potential Analysis 数学-数学

CiteScore

2.20

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original papers dealing with potential theory and its applications, probability theory, geometry and functional analysis and in particular estimations of the solutions of elliptic and parabolic equations; analysis of semi-groups, resolvent kernels, harmonic spaces and Dirichlet forms; Markov processes, Markov kernels, stochastic differential equations, diffusion processes and Levy processes; analysis of diffusions, heat kernels and resolvent kernels on fractals; infinite dimensional analysis, Gaussian analysis, analysis of infinite particle systems, of interacting particle systems, of Gibbs measures, of path and loop spaces; connections with global geometry, linear and non-linear analysis on Riemannian manifolds, Lie groups, graphs, and other geometric structures; non-linear or semilinear generalizations of elliptic or parabolic equations and operators; harmonic analysis, ergodic theory, dynamical systems; boundary value problems, Martin boundaries, Poisson boundaries, etc.