Comments on the determination of the conductivity by boundary measurements

被引：1
|
作者：
Choulli, Mourad [1 ]
机构：
[1] Univ Lorraine, Lorraine, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 517卷 / 02期
关键词：
Determining the conductivity at the; boundary; Stability inequality; Fundamental solution; Levi?s parametrix method; Singular solutions; Localized oscillating solutions; CALDERON PROBLEM; STABILITY; UNIQUENESS;
D O I：
10.1016/j.jmaa.2022.126638
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We revisit the stability issue of determining the conductivity at the boundary by boundary measurements. We discuss both the method based on singular solutions and the one built on the localized oscillating solutions. Our primary objective is not establishing new results on this subject even if the present work contains some new ones. We mainly clarify some points in the existing proofs and make some comments. We also derive global stability inequalities for the determination of the conductivity by boundary measurements.(c) 2022 Elsevier Inc. All rights reserved.
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页数：31
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