Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 256, pp. 1-16.

Title: Pointwise estimates for solutions to a system of nonlinear
       damped wave equations

Author: Wenjun Wang (Univ. of Shanghai for Science and Tech., Shanghai, China)

Abstract:
 In this article, we consider the existence of global solutions
 and pointwise estimates for the Cauchy problem of a nonlinear
 damped wave equation. We obtain the existence by using the 
 approach introduced by Li and Chen in [7]
 and some estimates of the solution. The proofs of the estimates
 are based on a detailed analysis of the Green function of the linear
 damped wave equations. Also, we show the L^p convergence rate 
 of the solution.

Submitted June 24, 2013. Published November 20, 2013.
Math Subject Classifications: 35L15.
Key Words: Damped wave system; global solution; classical solution;
           pointwise estimate; Green function.