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Unique determination of a cavity in an elastic plate by two boundary measurements

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  • We consider a thin elastic plate subjected to a couple field applied at its boundary and we study the inverse problem consisting in determining an unknown cavity inside the plate by measuring the transversal displacement and its normal derivative at the boundary of the plate. We prove uniqueness with two measurements.
    Mathematics Subject Classification: Primary: 35R30, 35R25; Secondary: 74K20.


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