文献类型：期刊文献

英文题名：Integral representation for the solution of the stationary Schrodinger equation in a cone

作者：Qiao, Lei[1];Deng, Guantie[2]

第一作者：乔蕾

通讯作者：Qiao, L[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China;[2]Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, MOE, Beijing 100875, 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, Dept Math & Informat Sci, Zhengzhou 450002, 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：2012

卷号：285

期号：16

起止页码：2029-2038

外文期刊名：MATHEMATISCHE NACHRICHTEN

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000310599200010)】；

基金：This work is supported by The National Natural Science Foundation of China under Grant 11071020 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20100003110004.

语种：英文

外文关键词：Integral representation; stationary Schrodinger equation; cone

摘要：In this paper, we consider the Dirichlet problem for the stationary Schrodinger equation in a cone with continuous boundary data. For a solution u of the stationary Schrodinger equation in a cone, we prove that if its positive part u(+) satisfying a slowly growing condition, then its negative part u(-) can also be dominated by a similar slowly growing condition. Meanwhile, u can be represented by its integral in the boundary of the cone. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim