Inverse problems for the fourth order Schrödinger equation on a finite domain
Zheng, Chuang
Original · EN
In this paper we establish a global Carleman estimate for the fourth order Schrödinger equation posed on a 1-d finite domain. The Carleman estimate is used to prove the Lipschitz stability for an inverse problem consisting in retrieving a stationary potential in the Schrödinger equation from boundary measurements.
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