Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates

被引：26

作者：

Choudhury, Anupam Pal ^{[1
]}

Heck, Horst ^{[2
]}

机构：

[1] Univ Basel, Dept Math & Informat, Spiegelgasse 1, CH-4051 Basel, Switzerland

[2] Bern Univ Appl Sci, Dept Engn & Informat Technol, Jlcoweg 1, CH-3400 Burgdorf, Switzerland

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2017年 / 25卷 / 02期

关键词：

Inverse problems; stability estimates; biharmonic equation; PARTIAL CAUCHY DATA; 1ST-ORDER PERTURBATION; CONDUCTIVITY PROBLEM; UNIQUENESS;

D O I：

10.1515/jiip-2016-0019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish logarithmic stability estimates for the determination of the perturbation of the biharmonic operator from partial data measurements when the inaccessible part of the domain is flat and homogeneous boundary conditions are assumed on this part. This is an improvement to a log-log type stability estimate proved earlier for the partial data case.

引用

页码：251 / 263

页数：13

共 19 条

[1]

[Anonymous], 2010, Lecture Notes in Mathematics

[2]

[Anonymous], 1988, Applicable Analysis, DOI DOI 10.1080/00036818808839730

[3] Recovering a potential from partial Cauchy data [J].