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

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

URI
https://arbor.bfh.ch/handle/arbor/38464
Version
Published
Date Issued
2017
Author(s)
Choudhury, Anupam Pal
Heck, Horst  
Type
Article
Language
English
Abstract
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 ia an improvement to a log-log type stability estimate prved earlier for the partial data case.

Keywords: Inverse problems, stability estimates, biharmonic equation
DOI
10.24451/arbor.5841
https://doi.org/10.24451/arbor.5841
Publisher DOI
10.1515/jiip-2016-0019
Journal or Serie
Journal of Inverse and Ill-Posed Problems
ISSN
0928-0219
Related URL
https://www.bfh.ch/wiss-publikationen/2017/A_24_Heck_H.pdf publication
Organization
Institute for Human Centered Engineering (HUCE)  
Technik und Informatik  
Volume
25
Issue
2
Publisher
de Gruyter
Submitter
ServiceAccount
Citation apa
Choudhury, A. P., & Heck, H. (2017). Stability of the inverse boundary value problem for the biharmonic operator : Logarithmic estimates. In Journal of Inverse and Ill-Posed Problems (Vol. 25, Issue 2, pp. 251–263). de Gruyter. https://doi.org/10.24451/arbor.5841
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