Solving Integral Representations Problems for the Stationary Schrödinger Equation

When solutions of the stationary Schrödinger equation in a half-space belong to the weighted Lebesgue classes, we give integral representations of them, which imply known representation theorems of classical harmonic functions in a half-space.

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Main Author: Yudong Ren
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/715252
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author Yudong Ren
author_facet Yudong Ren
author_sort Yudong Ren
collection DOAJ
description When solutions of the stationary Schrödinger equation in a half-space belong to the weighted Lebesgue classes, we give integral representations of them, which imply known representation theorems of classical harmonic functions in a half-space.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-933502711241401b8abcb8fe300f48942025-02-03T06:00:38ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/715252715252Solving Integral Representations Problems for the Stationary Schrödinger EquationYudong Ren0Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, ChinaWhen solutions of the stationary Schrödinger equation in a half-space belong to the weighted Lebesgue classes, we give integral representations of them, which imply known representation theorems of classical harmonic functions in a half-space.http://dx.doi.org/10.1155/2013/715252
spellingShingle Yudong Ren
Solving Integral Representations Problems for the Stationary Schrödinger Equation
Abstract and Applied Analysis
title Solving Integral Representations Problems for the Stationary Schrödinger Equation
title_full Solving Integral Representations Problems for the Stationary Schrödinger Equation
title_fullStr Solving Integral Representations Problems for the Stationary Schrödinger Equation
title_full_unstemmed Solving Integral Representations Problems for the Stationary Schrödinger Equation
title_short Solving Integral Representations Problems for the Stationary Schrödinger Equation
title_sort solving integral representations problems for the stationary schrodinger equation
url http://dx.doi.org/10.1155/2013/715252
work_keys_str_mv AT yudongren solvingintegralrepresentationsproblemsforthestationaryschrodingerequation