Stabilization of the wave equation with variable coefficients and a delay in dissipative boundary feedback

https://doi.org/10.1016/j.jmaa.2009.12.058Get rights and content
Under an Elsevier user license
open archive

Abstract

We consider the stabilization of the wave equation with variable coefficients and a delay in the dissipative boundary feedback. By virtue of the Riemannian geometry methods, the energy-perturbed approach and the multiplier skills, we establish the uniform stability of the energy of the closed-loop system.

Keywords

Keywords wave equation
Delay dissipative boundary feedback
The Riemannian geometry

Cited by (0)

This research is supported by the National Science Foundation of China (10671166, 60673101).