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.
Show me the PDF file (276 KB), TEX file, and other files for this article.
Wenjun Wang College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: wwj001373@hotmail.com |
Return to the EJDE web page