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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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1569-3945
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Volume 25, Issue 2

Issues

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

Anupam Pal Choudhury
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  • Departement Mathematik und Informatik, Universität Basel, Spiegelgasse 1, CH-4051, Basel, Switzerland
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/ Horst Heck
  • Departement Engineering and Information Technology, Bern University of Applied Sciences, Jlcoweg 1, CH-3400 Burgdorf, Switzerland
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Published Online: 2016-09-28 | DOI: https://doi.org/10.1515/jiip-2016-0019

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 is an improvement to a log-log type stability estimate proved earlier for the partial data case.

Keywords: Inverse problems; stability estimates; biharmonic equation

MSC 2010: 35J40; 35R30

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About the article

Received: 2016-03-11

Revised: 2016-08-12

Accepted: 2016-08-20

Published Online: 2016-09-28

Published in Print: 2017-04-01


The first named author was supported by a post-doctoral fellowship under SERI (Swiss Government Excellence Scholarship).


Citation Information: Journal of Inverse and Ill-posed Problems, Volume 25, Issue 2, Pages 251–263, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2016-0019.

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