Stability of Calderón inverse Conductivity Problem in the plane

Tomeu Barceló, Daniel Faraco, and Alberto Ruiz

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Submission date: 11. Jan. 2006
Pages: 53
published in: Journal de mathématiques pures et appliquées, 88 (2007) 6, p. 522-556 
DOI number (of the published article): 10.1016/j.matpur.2007.07.006
Bibtex
MSC-Numbers: 35J30, 35J15
Keywords and phrases: inverse problems, stability, conductivity
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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 L^∞conductivities.