Differential Equations and Nonlinear Mechanics 
Volume 2007 (2007), Article ID 19685, 9 pages
doi:10.1155/2007/19685
Research Article

Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations

Yaojun Ye

 Department of Information and Computational Science, Henan Agricultural University, Zhengzhou 450002, China
Received 20 December 2006; Accepted 10 April 2007

Recommended by Ramon Quintanilla

Abstract

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.