Holder stable determination of a quantum scalar potential in unbounded cylindrical domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:426

Article

Kian, Yavar^1,2  Phan, Quang Sang³  Soccorsi, Eric^1,2 

[1] Aix Marseille Univ, CNRS, CPT UMR 7332, F-13288 Marseille, France

[2] Univ Toulon & Var, CNRS, CPT UMR 7332, F-83957 La Garde, France

[3] Jagiellonian Univ, Inst Math, Fac Math & Comp Sci, PL-30348 Krakow, Poland

关键词: Inverse problem;    Schrodinger equation;    Scalar potential;    Carleman estimate;    Infinite cylindrical domain;   

DOI  :  10.1016/j.jmaa.2015.01.028

来源: Elsevier

【 摘 要 】

We consider the inverse problem of determining the time independent scalar potential of the dynamic Schrodinger equation in an infinite cylindrical domain from one boundary Neumann observation of the solution. We prove Holder stability by choosing the Dirichlet boundary condition suitably. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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