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  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.
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| Wenjun Wang |
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
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