Inverse problem for the Schrodinger operator in an unbounded strip

被引：1

作者：

Cardoulis, Laure ^{[1
]}

Cristofol, Michel ^{[2
]}

Gaitan, Patricia ^{[2
]}

机构：

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

[2] Univ Aix Marseille, CNRS, UMR 6632, Lab Analyse Topol Probabil, F-13453 Marseille, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2008年 / 346卷 / 11-12期

关键词：

D O I：

10.1016/j.crma.2008.04.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an adapted global Carleman estimate and an energy estimate for the Schrodinger operator H := i partial derivative(t) + del . (c del) in an unbounded strip. Using these estimates, we give a stability result for the diffusion coefficient c(x, y) from the measurement of the normal derivative of the solution on a part of the boundary.

引用

页码：635 / 640

页数：6

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