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arxiv: 1404.4456 · v1 · pith:SZJ5XT5Ynew · submitted 2014-04-17 · 🧮 math.AP

Exponential stability of the wave equation with memory and time delay

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keywords dampingdelayequationexponentialstabilitytimewaveamplitude
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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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