文献类型：期刊文献

英文题名：Dirichlet problem for the Schrodinger operator on a cone

作者：Qiao, Lei[1];Deng, Guan-Tie[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]MOE Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, 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

外文期刊名：BOUNDARY VALUE PROBLEMS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000307533700001)】；

基金：The authors would like to thank anonymous reviewers for their valuable comments and suggestions about improving the quality of the manuscript. 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：Dirichlet problem; stationary Schrodinger equation; cone

摘要：In this article, a solution of the Dirichlet problem for the Schrodinger operator on a cone is constructed by the generalized Poisson integral with a slowly growing continuous boundary function. A solution of the Poisson integral for any continuous boundary function is also given explicitly by the Poisson integral with the generalized Poisson kernel depending on this boundary function. MSC: 31B05, 31B10.