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

2013/12/17 by Chuang Zheng, Zheng, Chuang
Computer Science · Engineering · Mathematics · #35Q40 #93B05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1312.4901

openalex publication_date 2013/12/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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