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Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory type boundary
  • Dandan Guo,
  • ZHIFEI ZHANG
Dandan Guo
Huazhong University of Science and Technology
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ZHIFEI ZHANG
Huazhong University of Science and Technology - Main Campus
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Abstract

In this paper, we deal with the wave equation with acoustic boundary conditions. The exponential stabilization is obtained by Lyapunov approach and Riemannian geometry method. We then apply our main theorem to the wave equations with memory type acoustic boundary conditions, which is not available in the literature and give an example in the end.

Peer review status:UNDER REVIEW

17 Jan 2020Submitted to Mathematical Methods in the Applied Sciences
18 Jan 2020Assigned to Editor
18 Jan 2020Submission Checks Completed
01 Feb 2020Reviewer(s) Assigned