Decays rates for Kelvin-Voigt damped wave equations II: the geometric control condition
Analysis of PDEs
2021-03-22 v2
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 ( 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).
Keywords
Cite
@article{arxiv.2010.05614,
title = {Decays rates for Kelvin-Voigt damped wave equations II: the geometric control condition},
author = {Nicolas Burq and Chenmin Sun},
journal= {arXiv preprint arXiv:2010.05614},
year = {2021}
}