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arxiv 2010.05614 v2 pith:3JMDZD6A submitted 2020-10-12 math.AP

Decays rates for Kelvin-Voigt damped wave equations II: the geometric control condition

classification math.AP
keywords controlgeometricconditiondampeddampingdecayequationskelvin-voigt
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We study in this article decay rates for Kelvin-Voigt damped wave equations under a geometric control condition. We prove that when the damping coefficient is sufficiently smooth ($C^1$ vanishing nicely) we show that exponential decay follows from geometric control conditions (see~\cite{BuCh, Te12} for similar results under stronger assumptions on the damping function).

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