Elliptic-type gradient estimate for Schrodinger equations on noncompact manifolds

被引：21

作者：

Ruan, Qihua ^{[1
]}

机构：

[1] Zhongshan Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2007年 / 39卷

关键词：

D O I：

10.1112/blms/bdm089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the author discusses an elliptic-type gradient estimate for the solution of the time-dependent Schrodinger equations on noncompact manifolds. As an application, the dimension-free Harnack inequality and a Liouville-type theorem for the Schrodinger equation are proved.

引用

页码：982 / 988

页数：7

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