Inverse problem for the Schrodinger operator in an unbounded strip

被引：15

作者：

Cardoulis, L. ^{[1
]}

Cristofol, M. ^{[2
]}

Gaitan, P. ^{[2
]}

机构：

[1] Univ Toulouse 1, Ceremath MIP, UMR 5640, F-31000 Toulouse, France

[2] Univ Aix Marseille 1, CMI, CNRS, UMR 6632, F-13453 Marseille 13, France

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2008年 / 16卷 / 02期

关键词：

Inverse problem; Schrodinger operator; Carleman estimate;

D O I：

10.1515/JIIP.2008.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the operator H := i partial derivative(t) + del . (c del) in an unbounded strip Omega in R-2, where c(x, y) is an element of C-3((Omega) over bar). We prove an adapted global Carleman estimate and an energy estimate for this operator. Using these estimates, we give a stability result for the diffusion coefficient c(x, y).

引用

页码：127 / 146

页数：20

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