文献类型：期刊文献

英文题名：Weak solutions for the stationary Schrodinger equation and its application

作者：Qiao, Lei[1]

第一作者：乔蕾

通讯作者：Qiao, L[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 460046, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 460046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2017

卷号：63

起止页码：34-39

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000384398000006)】；

基金：I would like to thank the anonymous referees for valuable comments and remarks. This paper was written while I was at the Laboratoire de Mathematiques de Bretagne Atlantique of the Universite de Bretagne-Sud, Vannes, France, as a visiting scholar. I am grateful for the support and hospitality of this university, and also would like to express gratitude to Professor Quansheng Liu for his kind and cordial help. In particular, I am most grateful to the China Scholarship Council (Grant No. 201308410183) for giving me the financial support that allowed me to work in UBS for one year.

语种：英文

外文关键词：Carleman's formula; Stationary Schrodinger equation; Integral representation

摘要：In this paper, we prove Carleman's formula for weak solutions of the stationary Schrodinger equation in a cylinder. As an application of it, the integral representation of solutions of the stationary Schrodinger equation is also obtained. (C) 2016 Elsevier Ltd. All rights reserved.