Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials

被引：13
|
作者：
Choudhury, Anupam Pal [1 ]
Krishnan, Venkateswaran P. [1 ]
机构：
[1] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore, Karnataka, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 431卷 / 01期
基金：
美国国家科学基金会;
关键词：
Biharmonic equation; Stability estimates; Inverse problems; Calderon problem; PARTIAL CAUCHY DATA; 1ST-ORDER PERTURBATION;
D O I：
10.1016/j.jmaa.2015.05.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, stability estimates are given for the determination of the zeroth-order bounded perturbations of the biharmonic operator when the boundary Neumann measurements are made on the whole boundary and on slightly more than half the boundary, respectively. For the case of measurements on the whole boundary, the stability estimates are of in-type and for the ease of measurements on slightly more than half of the boundary, we derive estimates that are of Inln-type. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：300 / 316
页数：17
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