文献类型：期刊文献

英文题名：ASYMPTOTIC BEHAVIORS OF GREEN-SCH POTENTIALS AT INFINITY AND ITS APPLICATIONS

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 450046, 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 450046, 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：22

期号：6

起止页码：2321-2338

外文期刊名：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

收录：;Scopus(收录号：2-s2.0-85018721289);WOS:【SCI-EXPANDED(收录号:WOS:000402303900011)】；

基金：I would like to thank the 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 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：Stationary Schrodinger operator; asymptotic behavior; Green-Sch potential

摘要：The first aim in this paper is to deal with asymptotic behaviors of Green-Sch potentials in a cylinder. As an application we prove the integral representation of nonnegative weak solutions of the stationary Schrodinger equation in a cylinder. Next we give asymptotic behaviors of them outside an exceptional set. Finally we obtain a quantitative property of rarefied sets with respect to the stationary Schrodinger operator at +infinity in a cylinder. Meanwhile we show that the reverse of this property is not true.