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

Published 12 Oct 2020 in math.AP | (2010.05614v2)

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~\cite{BuCh, Te12} for similar results under stronger assumptions on the damping function).

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Authors (2)

  1. Nicolas Burq 
  2. Chenmin Sun 

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