Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities

2014/05/02 by Romina Gaburro, Eva Sincich · 2 citations
Mathematics · #math.AP

paper · pdf · doi:10.1088/0266-5611/31/1/015008

published as Inverse Problems, Volume 31, Number 1, (2015)

arxiv created 2014/05/02 · arxiv updated 2016/11/04

Abstract

We consider the stability issue of the inverse conductivity problem for a conformal class of anisotropic conductivities in terms of the local Dirichlet-to-Neumann map. We extend here the stability result obtained by Alessandrini and Vessella in Advances in Applied Mathematics 35:207-241, where the authors considered the piecewise constant isotropic case.

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• Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
• Stability of Electrical Impedance Tomography with Anisotropies and its Application to the Deep Caldeón Method

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