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.
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页码：635 / 640
页数：6
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