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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.48 (2016)
  6. Optimal stability estimate of the inverse boundary value problem by partial measurements
 
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Optimal stability estimate of the inverse boundary value problem by partial measurements

Heck, Horst
•
Wang, Jenn-Nan
2016
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ISSN
0049-4704
DOI
10.13137/2464-8728/13164
http://hdl.handle.net/10077/13164
  • Article

e-ISSN
2464-8728
Abstract
This manuscript was originally uploaded to arXiv in 2007 (arXiv:0708.3289v1). In the current version, we expand the Introduction and the list of references which are related to the results of this paper after 2007. In this work we establish log type stability estimates for the inverse potential and conductivity problems with partial Dirichlet-to-Neumann map, where the Dirichlet data is homogeneous on the inaccessible part. The proof is based on the uniqueness result of the inverse boundary value problem in Isakov’s work [17].
Series
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Subjects
  • Schrödinger equation

  • stability

  • inverse problems

Publisher
EUT Edizioni Università di Trieste
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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17_RIMUT48.pdf

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1.68 MB

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