Convergence of global solutions for some classes of nonlinear damped wave equations
Analysis of PDEs
2013-09-11 v1
Abstract
We consider the asymptotic behavior of the soltion to the wave equation with time-dependent damping and analytic nonlinearity. Our main goal is to prove the convergence of a global solution to an equilibrium as time goes to infinity by means of a suitable Lojasiewicz-Simon type inequality.
Keywords
Cite
@article{arxiv.1309.2364,
title = {Convergence of global solutions for some classes of nonlinear damped wave equations},
author = {Zhe Jiao},
journal= {arXiv preprint arXiv:1309.2364},
year = {2013}
}
Comments
19 pages