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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
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Yongyi Yu
Northeast Normal University
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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.

Peer review status:UNDER REVIEW

10 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
10 Apr 2021Assigned to Editor
10 Apr 2021Submission Checks Completed
18 May 2021Reviewer(s) Assigned