Stabilization of the wave equation with variable coefficients and a dynamical boundary control
Date
2016-01-15
Authors
Zhang, Zhifei
Journal Title
Journal ISSN
Volume Title
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. Electronic Journal of Differential Equations, 2016(27), pp. 1-10.
Rights
Attribution 4.0 International