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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:431

Article

Choudhury, Anupam Pal¹  Krishnan, Venkateswaran P.¹ 

[1] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore, Karnataka, India

关键词: Biharmonic equation;    Stability estimates;    Inverse problems;    Calderon problem;   

DOI  :  10.1016/j.jmaa.2015.05.054

来源: Elsevier

【 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.

【 授权许可】

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