@article{eb35c3f960474ed4b37af8bb246a179a,
title = "Logarithmic decay of wave equation with Kelvin-Voigt Damping",
abstract = "In this paper, we analyze the longtime behavior of the wave equation with local Kelvin-Voigt Damping. Through introducing proper class symbol and pseudo-diff-calculus, we obtain a Carleman estimate, and then establish an estimate on the corresponding resolvent operator. As a result, we show the logarithmic decay rate for energy of the system without any geometric assumption on the subdomain on which the damping is effective.",
keywords = "Carleman estimate, Kelvin-Voigt damping, Logarithmic stability, Wave equation",
author = "Luc Robbiano and Qiong Zhang",
note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",
year = "2020",
month = may,
day = "1",
doi = "10.3390/MATH8050715",
language = "English",
volume = "8",
journal = "Mathematics",
issn = "2227-7390",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "5",
}