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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
5/2006

Stability of Calderón inverse Conductivity Problem in the plane

Tomeu Barceló, Daniel Faraco and Alberto Ruiz

Abstract

It is proved that, in two dimensions, Calderón inverse conductivity problem is stable when the conductivities are Hölder continuous with any exponent α > 0. The approach is based on reducing the conductivity equation to a complex Beltrami equation as in Astala-Päivärinta proof of the uniqueness in Calderón problem for Lconductivities.

Received:
Jan 11, 2006
Published:
Jan 11, 2006
MSC Codes:
35J30, 35J15
Keywords:
inverse problems, stability, conductivity

Related publications

inJournal
2007 Repository Open Access
Tomeu Barceló, Daniel Faraco and Alberto Ruiz

Stability of Calderón inverse conductivity problem in the plane

In: Journal de mathématiques pures et appliquées, 88 (2007) 6, pp. 522-556