On the solvability of boundary value problems for the stationary Schrodinger equation in unbounded domains on Riemannian manifolds

被引：6

作者：

Korol'kov, S. A. ^{[1
]}

机构：

[1] Volgograd State Univ, Volgograd, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

DIRICHLET PROBLEM; INFINITY;

D O I：

10.1134/S001226611506004X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the solutions of the stationary Schrodinger equation in unbounded domains on Riemannian manifolds with noncompact boundary. Our approach to the statement of boundary value problems is based on the notion of a class of equivalent functions. We obtain sufficient conditions for the solvability of boundary value problems and prove the solvability of the Dirichlet problem on the cone of a model manifold with continuous boundary data on the boundary.

引用

页码：738 / 744

页数：7

共 15 条

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