Abstract and Applied Analysis
Volume 2007 (2007), Article ID 20295, 17 pages
Research Article

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

Nguyen Thanh Long1 and Le Thi Phuong Ngoc2

1Department 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, Vietnam
2Nha Trang Educational College, 01 Nguyen Chanh Street, Nha Trang City, Vietnam

Received 17 April 2006; Revised 19 September 2006; Accepted 24 November 2006

Academic Editor: Jean Mawhin

Copyright © 2007 Nguyen Thanh Long and Le Thi Phuong Ngoc. 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.


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.