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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
Author Profile
ZHIFEI ZHANG
Huazhong University of Science and Technology - Main Campus
Author Profile

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.
17 Jan 2020Submitted to Mathematical Methods in the Applied Sciences
18 Jan 2020Submission Checks Completed
18 Jan 2020Assigned to Editor
01 Feb 2020Reviewer(s) Assigned
02 Jun 2021Review(s) Completed, Editorial Evaluation Pending
05 Jun 2021Editorial Decision: Revise Major
17 Aug 20211st Revision Received
18 Aug 2021Submission Checks Completed
18 Aug 2021Assigned to Editor
31 Aug 2021Reviewer(s) Assigned
30 Nov 2021Review(s) Completed, Editorial Evaluation Pending
06 Feb 2022Editorial Decision: Accept