Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate

被引：11

作者：

Francini, E. ^{[1
]}

Lin, C. -L. ^{[2
]}

Vessella, S. ^{[1
]}

Wang, J. -N. ^{[3
]}

机构：

[1] Univ Florence, I-50121 Florence, Italy

[2] Natl Cheng Kung Univ, Tainan 701, Taiwan

[3] Natl Taiwan Univ, Taipei, Taiwan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 10期

关键词：

Carleman estimate; Three-region inequalities; Discontinuous coefficients; Size estimate; INVERSE CONDUCTIVITY PROBLEM; CARLEMAN ESTIMATE; JUMPS; INCLUSION; OPERATORS; BODY;

D O I：

10.1016/j.jde.2016.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients. The derivation of the inequality relies on the Carleman estimate proved in our previous work [5]. We then apply the three-region inequality to study the size estimate problem with one boundary measurement. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：5306 / 5323

页数：18

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