Asymptotic stability of wave equations coupled by velocities
Optimization and Control
2015-12-01 v2 Analysis of PDEs
Abstract
This paper is devoted to study the asymptotic stability of wave equations with constant coefficients coupled by velocities. By using Riesz basis approach, multiplier method and frequency domain approach respectively, we find the sufficient and necessary condition, that the coefficients satisfy, leading to the exponential stability of the system. In addition, we give the optimal decay rate in one dimensional case.
Keywords
Cite
@article{arxiv.1509.06686,
title = {Asymptotic stability of wave equations coupled by velocities},
author = {Yan Cui and Zhiqiang Wang},
journal= {arXiv preprint arXiv:1509.06686},
year = {2015}
}