Wenjun Wang
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.
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| Wenjun Wang College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: wwj001373@hotmail.com |
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