Stabilization of the wave equation with variable coefficients and a dynamical boundary control

Date

2016-01-15

Authors

Zhang, Zhifei

Journal Title

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Publisher

Texas State University, Department of Mathematics

Abstract

In this article we consider the boundary stabilization of the wave equation with variable coefficients and a dynamical Neumann boundary control. The dynamics on the boundary comes from the acceleration terms which can not be ignored in some physical applications. It has been known that addition of dynamics to the boundary may change drastically the stability properties of the underlying system. In this paper by applying a boundary feedback control we obtain the exponential decay for the solutions. Our proof relies on the Geometric multiplier skills and the energy perturbed approach.

Description

Keywords

Exponential decay, Wave equation with variable coefficients, Dynamical boundary control

Citation

Zhang, Z. (2016). Stabilization of the wave equation with variable coefficients and a dynamical boundary control. <i>Electronic Journal of Differential Equations, 2016</i>(27), pp. 1-10.

Rights

Attribution 4.0 International

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