Zhen-Hu Ning, Fengyan Yang
Abstract:
In this article, we consider the stabilization of a wave equation with
variable coefficients and internal memory in an open bounded domain, by
the Riemannian geometry approach. For the wave equation with a locally
distributed memory with a kernel, we obtain exponential decay of
the energy under some geometric conditions. In addition, for the wave
equation with nonlinear internal time-varying delay without upper bound,
we obtain uniform decay of the energy.
Submitted July 21, 2018. Published September 5, 2018.
Math Subject Classifications: 93C20, 93D20.
Key Words: Stabilization; wave equation with variable coefficients; memory term;
time-varying delay; geometric conditions.
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Zhen-Hu Ning Faculty of Information Technology Beijing University of Technology Beijing 100124, China email: ningzhenhu@bjut.edu.cn |
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Fengyan Yang Key Laboratory of Systems and Control Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences, Beijing 100190, China email: yangfengyan12@mails.ucas.ac.cn |
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