Control and exponential stability for a transmission problem of a viscoelastic wave equation
Analysis of PDEs
2020-02-12 v1
Abstract
In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium with a memory term located in one of the medium. We prove exponential decay of the energy of the solution under geometrical and analytical hypothesis on the memory term.
Cite
@article{arxiv.2002.04475,
title = {Control and exponential stability for a transmission problem of a viscoelastic wave equation},
author = {Remi Buffe and Marcelo Cavalcanti and Valéria Domingos Cavalcanti and Ludovick Gagnon},
journal= {arXiv preprint arXiv:2002.04475},
year = {2020}
}