An estimate on the heat kernel of Schrodinger operators with non-negative potentials on nilpotent Lie groups and its applications

被引：2

作者：

Liu, Yu ^{[1
]}

Huang, Jizheng ^{[2
]}

Dong, Jianfeng ^{[3
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[2] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

FORUM MATHEMATICUM | 2015年 / 27卷 / 03期

关键词：

Nilpotent Lie groups; Schrodinger operators; reverse Holder class; heat kernel; RD-SPACES;

D O I：

10.1515/forum-2012-0141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the heat kernel of the Schrodinger operator L = -Delta(G) + W on the nilpotent Lie group G, where Delta(G) is the sub-Laplacian on G and the non-negative potential W belongs to the reverse Holder class B-q1. The main aim of the paper is to give a pointwise estimate for the heat kernel of Schrodinger operators with non-negative potentials on the nilpotent Lie group G. As its applications, we obtain the L-p estimates for parabolic Schrodinger operators with certain non-negative potentials.

引用

页码：1773 / 1798

页数：26

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