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

  • Anupam Pal Choudhury EMAIL logo and Horst Heck
Published/Copyright: September 28, 2016

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.

MSC 2010: 35J40; 35R30

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

Acknowledgements

The first author would like to thank Professor Gianluca Crippa and the Department of Mathematics and Computer science (University of Basel) for the warm and kind hospitality. He would also like to thank Professor Venkateswaran P. Krishnan for guiding him into the exciting terrain of Inverse problems.

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Received: 2016-3-11
Revised: 2016-8-12
Accepted: 2016-8-20
Published Online: 2016-9-28
Published in Print: 2017-4-1

© 2017 by De Gruyter

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