文献类型：期刊文献

英文题名：Weak solutions for the stationary Schr?dinger equation and its application

作者：Qiao, Lei[1]

第一作者：乔蕾

机构：[1] School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, China

第一机构：河南财经政法大学数学与信息科学学院

年份：2017

卷号：63

起止页码：34-39

外文期刊名：Applied Mathematics Letters

收录：EI(收录号：20163202695982);Scopus(收录号：2-s2.0-84982710261)

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 Mathématiques de Bretagne Atlantique of the Université 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：Mathematical techniques

摘要：In this paper, we prove Carleman's formula for weak solutions of the stationary Schr?dinger equation in a cylinder. As an application of it, the integral representation of solutions of the stationary Schr?dinger equation is also obtained. ? 2016 Elsevier Ltd