Abstract and Applied Analysis
Volume 2007 (2007), Article ID 20295, 17 pages
doi:10.1155/2007/20295
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
Abstract
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.