Stability analysis of a 1D wave equation with a nonmonotone distributed damping
Analysis of PDEs
2019-02-07 v1 Optimization and Control
Abstract
This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation subject to a nonmonotone distributed damping. A well-posedness result is provided together with a precise characterization of the asymptotic behavior of the trajectories of the system under consideration. The well-posedness is proved in the nonstandard L p functional spaces, with p [2, ], and relies mostly on some results collected in Haraux (2009). The asymptotic behavior analysis is based on an attractivity result on a specific infinite-dimensional linear time-variant system.
Keywords
Cite
@article{arxiv.1902.02050,
title = {Stability analysis of a 1D wave equation with a nonmonotone distributed damping},
author = {Swann Marx and Yacine Chitour and Christophe Prieur},
journal= {arXiv preprint arXiv:1902.02050},
year = {2019}
}