INVERSE PROBLEMS WITH PARTIAL DATA IN A SLAB

被引:31
|
作者
Li, Xiaosheng [1 ]
Uhlmann, Gunther [2 ]
机构
[1] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA
[2] Univ Washington, Dept Math, Seattle, WA 98195 USA
基金
美国国家科学基金会;
关键词
Inverse problems; Incomplete data; Slab; BOUNDARY-VALUE PROBLEM; OPTICAL DIFFUSION TOMOGRAPHY; PARTIAL CAUCHY DATA; CALDERON PROBLEM; CONDUCTIVITY PROBLEM; UNIQUENESS;
D O I
10.3934/ipi.2010.4.449
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider several inverse boundary value problems with partial data on an infinite slab. We prove the unique determination results of the coefficients for the Schrodinger equation and the conductivity equation when the corresponding Dirichlet and Neumann data are given either on the different boundary hyperplanes of the slab or on the same single hyperplane.
引用
收藏
页码:449 / 462
页数:14
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