A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set

The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.

Bibliographic Details
Main Authors:	Nguyen Thanh Long, Le Thi Phuong Ngoc
Format:	Article
Language:	English
Published:	Hindawi Limited 2007-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2007/20295

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spelling	doaj-281fe70518ea4d71ab6d7c2fa791fb802020-11-24T22:32:40ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/2029520295A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution SetNguyen Thanh Long0Le Thi Phuong Ngoc1Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University Ho Chi Minh City, 227 Nguyen Van Cu Street, Dist. 5, Ho Chi Minh City, VietnamNha Trang Educational College, 01 Nguyen Chanh Street, Nha Trang City, VietnamThe purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.http://dx.doi.org/10.1155/2007/20295
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nguyen Thanh Long Le Thi Phuong Ngoc
spellingShingle	Nguyen Thanh Long Le Thi Phuong Ngoc A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set Abstract and Applied Analysis
author_facet	Nguyen Thanh Long Le Thi Phuong Ngoc
author_sort	Nguyen Thanh Long
title	A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
title_short	A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
title_full	A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
title_fullStr	A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
title_full_unstemmed	A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
title_sort	wave equation associated with mixed nonhomogeneous conditions: the compactness and connectivity of weak solution set
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2007-01-01
description	The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.
url	http://dx.doi.org/10.1155/2007/20295
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A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set

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