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Global uniqueness in an inverse problem for a class of damped stochastic plate equations
  • Qingmei Zhao,
  • Yongyi Yu
Qingmei Zhao
Sichuan University

Corresponding Author:zhaoqm@stu.scu.edu.cn

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Yongyi Yu
Northeast Normal University
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Abstract

This paper deals with the global uniqueness of an inverse problem for the stochastic plate with structural damping. The key point is the Carleman estimate for the fourth order stochastic plate operators dyt − ρ∆ytdt + ∆2ydt. To this aim, a weighted point- wise identity for a fourth order stochastic plate operator is established, via which we obtained the desired Carleman estimate for the corresponding stochastic plate equation with structural damping.
10 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
10 Apr 2021Submission Checks Completed
10 Apr 2021Assigned to Editor
18 May 2021Reviewer(s) Assigned
06 Feb 2022Review(s) Completed, Editorial Evaluation Pending
06 Feb 2022Editorial Decision: Revise Minor
12 Feb 20221st Revision Received
14 Feb 2022Submission Checks Completed
14 Feb 2022Assigned to Editor
19 Feb 2022Reviewer(s) Assigned
14 Jun 2022Review(s) Completed, Editorial Evaluation Pending
18 Jun 2022Editorial Decision: Accept