Zhifei Zhang
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.
Submitted December 9, 2015. Published January 15, 2016.
Math Subject Classifications: 34H05, 35L05, 49K25, 93C20, 93D15.
Key Words: Exponential decay; wave equation with variable coefficients;
dynamical boundary control.
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Zhifei Zhang Department of Mathematics Huazhong University of Science and Technology Wuhan, 430074, China email: zhangzf@hust.edu.cn |
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