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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 715252, 5 pages
http://dx.doi.org/10.1155/2013/715252
Research Article
Solving Integral Representations Problems for the Stationary Schrödinger Equation
Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China
Received 24 April 2013; Accepted 9 June 2013
Academic Editor: Pavel Kurasov
Copyright © 2013 Yudong Ren. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.