Dirichlet Problem for the Schrödinger Operator in a Half Space

For continuous boundary data, the modified Poisson integral is used to write solutions to the half space Dirichlet problem for the Schrödinger operator. Meanwhile, a solution of the Poisson integral for any continuous boundary function is also given explicitly by the Poisson integral with the genera...

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Main Author:	Baiyun Su
Format:	Article
Language:	English
Published:	Hindawi Limited 2012-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2012/578197

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spelling	doaj-b3951cc57a9a4863aeec6ee42cec82812020-11-24T23:03:43ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/578197578197Dirichlet Problem for the Schrödinger Operator in a Half SpaceBaiyun Su0Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, ChinaFor continuous boundary data, the modified Poisson integral is used to write solutions to the half space Dirichlet problem for the Schrödinger operator. Meanwhile, 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.http://dx.doi.org/10.1155/2012/578197
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Baiyun Su
spellingShingle	Baiyun Su Dirichlet Problem for the Schrödinger Operator in a Half Space Abstract and Applied Analysis
author_facet	Baiyun Su
author_sort	Baiyun Su
title	Dirichlet Problem for the Schrödinger Operator in a Half Space
title_short	Dirichlet Problem for the Schrödinger Operator in a Half Space
title_full	Dirichlet Problem for the Schrödinger Operator in a Half Space
title_fullStr	Dirichlet Problem for the Schrödinger Operator in a Half Space
title_full_unstemmed	Dirichlet Problem for the Schrödinger Operator in a Half Space
title_sort	dirichlet problem for the schrödinger operator in a half space
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2012-01-01
description	For continuous boundary data, the modified Poisson integral is used to write solutions to the half space Dirichlet problem for the Schrödinger operator. Meanwhile, 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.
url	http://dx.doi.org/10.1155/2012/578197
work_keys_str_mv	AT baiyunsu dirichletproblemfortheschrodingeroperatorinahalfspace
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Dirichlet Problem for the Schrödinger Operator in a Half Space

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