scholarly journals Global Uniqueness for a Coefficient Inverse Problem for the Non-Stationary Transport Equation via Carleman Estimate

2006 ◽  
Author(s):  
Michael V. Klibanov ◽  
Sergey E. Pamyatnykh
Keyword(s):  
Inverse Problem ◽  
Transport Equation ◽  
Carleman Estimate ◽  
Coefficient Inverse Problem ◽  
Global Uniqueness ◽  
Stationary Transport Equation

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

2021 ◽  
Author(s):  
Qingmei Zhao ◽  
Yongyi Yu
Keyword(s):  
Inverse Problem ◽  
Fourth Order ◽  
Carleman Estimate ◽  
Plate Equation ◽  
Structural Damping ◽  
Global Uniqueness ◽  
Weighted Point ◽  
Plate Equations

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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