Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map

被引：6

作者：

Choulli, Mourad ^{[1
]}

Kian, Yavar ^{[2
]}

Soccorsi, Eric ^{[2
]}

机构：

[1] Univ Lorraine, Inst Elie Cartan Lorraine, CNRS, UMR 7502, Blvd Aiguillettes,BP 70239, F-54506 Vandoeuvre Les Nancy, France

[2] Aix Marseille Univ, Univ Toulon, CNRS, CPT, Marseille, France

来源：

JOURNAL OF SPECTRAL THEORY | 2018年 / 8卷 / 02期

关键词：

Elliptic equation; periodic scalar potential; infinite cylindrical waveguide; stability inequality; partial data; Carleman estimate; BOUNDARY-VALUE PROBLEM; CALDERON PROBLEM; STABLE DETERMINATION; CONDUCTIVITY PROBLEM; CAUCHY DATA; UNIQUENESS;

D O I：

10.4171/JST/212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the inverse problem of identifying a periodic potential perturbation of the Dirichlet Laplacian acting in an infinite cylindrical domain, whose cross section is assumed to be bounded. We prove log-log stable determination of the potential with respect to the partial Dirichlet-to-Neumannmap, where the Neumann data is taken on slightlymore than half of the boundary of the domain.

引用

页码：733 / 768

页数：36

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