Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 105, pp. 1-11.

Title: Blow-up of solutions for a system of nonlinear wave equations 
       with nonlinear damping

Author: Shun-Tang Wu (National Taipei Univ., Taiwan)

Abstract:
 We study the initial-boundary value problem for a system of  
 nonlinear wave equations, involving nonlinear damping  terms, 
 in a bounded domain $\Omega$ with the initial  and Dirichlet 
 boundary conditions. The nonexistence of global solutions is 
 discussed under some conditions  on the given parameters.
 Estimates on the lifespan  of solutions are also given.
 
Submitted February 17, 2009. Published September 01, 2009.
Math Subject Classifications: 35L70.
Key Words: Nonlinear damping; wave equation; blow-up; lifespan.