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

2020/10/12 by Burq, Nicolas, Sun, Chenmin
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.05614

Abstract

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 (C¹ vanishing nicely) we show that exponential decay follows from geometric control conditions (see~\citeBuCh, Te12 for similar results under stronger assumptions on the damping function).

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