Convergence of global solutions for some classes of nonlinear damped wave equations

Zhe Jiao

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arXiv · 1309.2364

Convergence of global solutions for some classes of nonlinear damped wave equations

Zhe Jiao

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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.

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Zhe Jiao. 2013-09-10. Convergence of global solutions for some classes of nonlinear damped wave equations. https://arxiv.org/abs/1309.2364

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