A probe method for the inverse boundary value problem of non-stationary heat equations

被引：21
|
作者：
Daido, Yuki [1 ]
Kang, Hyeonbae
Nakamura, Gen
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
[2] Seoul Natl Univ, Dept Math Sci, RIM, Seoul 151747, South Korea
来源：
INVERSE PROBLEMS | 2007年 / 23卷 / 05期
关键词：
D O I：
10.1088/0266-5611/23/5/002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An inverse problem for identifying an inclusion inside an isotropic homogeneous heat conductive medium is considered. The shape of the inclusion may vary depending on time. For the one space dimensional case, we develop an analogue of the probe method known for inverse boundary value problems for elliptic equations and give a reconstruction procedure for identifying the inclusion from the Neumann to Dirichlet map.
引用
收藏
页码：1787 / 1800
页数：14
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