On an inverse problem for anisotropic conductivity in the plane

2010/03/31 by Gennadi Henkin, Matteo Santacesaria · 1 citation
Mathematics · Physics and Astronomy · #math.AP #math-ph #math.MP #msc:35R30 #msc:32G05

paper · pdf · doi:10.1088/0266-5611/26/9/095011

published as Inverse Problems 26, 2010, 095011 · 9 pages, no figure

arxiv created 2014/02/06 · arxiv updated 2014/02/07

Abstract

Let Ω⊂ \mathbb R² be a bounded domain with smooth boundary and σ a smooth anisotropic conductivity on Ω. Starting from the Dirichlet-to-Neumann operator Λ _σ on ∂ Ω, we give an explicit procedure to find a unique domain Ω, an isotropic conductivity σ on Ω and the boundary values of a quasiconformal diffeomorphism F: Ω→ Ω which transforms σ into σ.

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• Stability of Electrical Impedance Tomography with Anisotropies and its Application to the Deep Caldeón Method

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