Dandan Guo, Zhifei Zhang
Abstract:
In this article we consider the boundary stabilization of a wave
equation with variable coefficients. This equation has an acceleration
term and a delayed velocity term on the boundary.
Under suitable geometric conditions, we obtain the exponential
decay for the solutions. Our proof relies on the geometric multiplier
method and the Lyapunov approach.
Submitted June 13, 2017. Published August 9, 2017.
Math Subject Classifications: 35N25, 39A30.
Key Words: Difference scheme; inverse elliptic problem; stability;
overdetermination; nonlocal problem.
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Dandan Guo School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan 430074, China email: m201570062@hust.edu.cn |
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Zhifei Zhang School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan 430074, China zhangzf@hust.edu.cn |
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