Exponential stability of the wave equation with memory and time delay

2014/04/17 by Alabau-Boussouira, Fatiha, Nicaise, Serge, Pignotti, Cristina
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.4456

Abstract

We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time delay term is small enough.

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