An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation

被引：17
|
作者：
Bellassoued, M. [1 ]
Kian, Y. [2 ,3 ]
Soccorsi, E. [2 ,3 ]
机构：
[1] Univ Tunis El Manar, Natl Engn Sch Tunis, ENIT LAMSIN, BP 37, Tunis 1002, Tunisia
[2] Aix Marseille Univ, CNRS, UMR 7332, CPT, F-13288 Marseille, France
[3] Univ Toulon & Var, CNRS, UMR 7332, CPT, F-83957 La Garde, France
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 10期
关键词：
LOGARITHMIC STABILITY; CAUCHY-PROBLEM; UNIQUENESS; STABILIZATION; OPERATORS; EQUATION; DENSITY;
D O I：
10.1016/j.jde.2016.01.033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we investigate the inverse problem of determining the time independent scalar potential of the dynamic Schrodinger equation in an infinite cylindrical domain, from partial measurement of the solution on the boundary. Namely, if the potential is known in a neighborhood of the boundary of the spatial domain, we prove that it can be logarithmic stably determined in the whole waveguide from a single observation of the solution on any arbitrary strip-shaped subset of the boundary. (C) 2016 Elsevier Inc. All rights reserved.
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页码：7535 / 7562
页数：28
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