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A Carleman estimate for the linear shallow shell equation and an inverse source problem

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  • We consider an elastic bi-dimensional body whose reference configuration is a shallow shell. We establish a Carleman estimate for the linear shallow shell equations and apply it to prove a conditional stability for an inverse problem of determining external source terms by observations of displacement in a neighbourhood of the boundary over a time interval.
    Mathematics Subject Classification: Primary: 34A55, ; Secondary: 34A30.


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