Global uniqueness in an inverse problem for a class of damped stochastic
plate equations
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.
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