@article{4403cf9e90c1467797aed631f5c74090,
title = "Eventual differentiability of a string with local Kelvin-Voigt damping",
abstract = "In this paper, we study a wave equation with local Kelvin-Voigt damping, which models one-dimensional wave propagation through two segments consisting of an elastic and a viscoelastic medium. Under the assumption that the damping coefficients change smoothly near the interface, we prove that the semigroup corresponding to the system is eventually differentiable.",
keywords = "Eventual differentiability of semigroup, Local Kelvin-Voigt damping, Semigroup",
author = "Kangsheng Liu and Zhuangyi Liu and Qiong Zhang",
note = "Publisher Copyright: {\textcopyright} EDP Sciences, SMAI 2017.",
year = "2017",
month = apr,
day = "1",
doi = "10.1051/cocv/2015055",
language = "English",
volume = "23",
pages = "443--454",
journal = "ESAIM - Control, Optimisation and Calculus of Variations",
issn = "1292-8119",
publisher = "EDP Sciences",
number = "2",
}