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

Published 10 Sep 2013 in math.AP | (1309.2364v1)

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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Authors (1)

Zhe Jiao

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