Differential Equations and Nonlinear Mechanics
Volume 2007 (2007), Article ID 19685, 9 pages
Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations
Department of Information and Computational Science, Henan Agricultural University, Zhengzhou 450002, China
Received 20 December 2006; Accepted 10 April 2007
Academic Editor: Ramon Quintanilla
Copyright © 2007 Yaojun Ye. 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.
This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality.