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Inverse problems for the fourth order Schrödinger equation on a finite domain

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  • In this paper we establish a global Carleman estimate for the fourth order Schrödinger equation with potential posed on a $1-d$ finite domain. The Carleman estimate is used to prove the Lipschitz stability for an inverse problem consisting in recovering a stationary potential in the Schrödinger equation from boundary measurements.
    Mathematics Subject Classification: Primary: 35R30, 35Q40; Secondary: 35L65.


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