UNIQUENESS ON RECOVERY OF PIECEWISE CONSTANT CONDUCTIVITY AND INNER CORE WITH ONE MEASUREMENT

被引：10

作者：

Fang, Xiaoping ^{[1
,2
]}

Deng, Youjun ^{[2
]}

机构：

[1] Hunan Univ Commerce, Sch Math & Stat, Changsha, Hunan, Peoples R China

[2] Cent South Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China

来源：

INVERSE PROBLEMS AND IMAGING | 2018年 / 12卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Inverse medium problem; uniqueness; layer potential; transmission condition; unique continuation; INVERSE; ENHANCEMENT; CLOAKING; THEOREM;

D O I：

10.3934/ipi.2018031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the recovery of piecewise constant conductivity and an unknown inner core in inverse conductivity problem. We first show the unique recovery of the conductivity in a one layer structure without inner core by one measurement on any surface enclosing the unknown medium. Then we recover the unknown inner core in a one layer structure. We then show that in a two layer structure, the conductivity can be uniquely recovered by using one measurement.

引用

页码：733 / 743

页数：11

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