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

Romina Gaburro; Eva Sincich

doi:10.1088/0266-5611/31/1/015008

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

Romina Gaburro, Eva Sincich

Department of Mathematics and Statistics

University of Nova Gorica

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the stability issue of the inverse conductivity problem for a conformal class of anisotropic conductivities in terms of the local Dirichlet-Neumann map. We extend here the stability result obtained by Alessandrini and Vessella (Alessandrini G and Vessella S 2005 Lipschitz stability for the inverse conductivity problem Adv. Appl. Math. 35 207-241), where the authors considered the piecewise constant isotropic case.

Original language	English
Article number	015008
Journal	Inverse Problems
Volume	31
Issue number	1
DOIs	https://doi.org/10.1088/0266-5611/31/1/015008
Publication status	Published - 1 Jan 2015

Keywords

Anisotropic conductivity
Conformal class
Lipschitz stability

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10.1088/0266-5611/31/1/015008

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abstract = "We consider the stability issue of the inverse conductivity problem for a conformal class of anisotropic conductivities in terms of the local Dirichlet-Neumann map. We extend here the stability result obtained by Alessandrini and Vessella (Alessandrini G and Vessella S 2005 Lipschitz stability for the inverse conductivity problem Adv. Appl. Math. 35 207-241), where the authors considered the piecewise constant isotropic case.",

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AB - We consider the stability issue of the inverse conductivity problem for a conformal class of anisotropic conductivities in terms of the local Dirichlet-Neumann map. We extend here the stability result obtained by Alessandrini and Vessella (Alessandrini G and Vessella S 2005 Lipschitz stability for the inverse conductivity problem Adv. Appl. Math. 35 207-241), where the authors considered the piecewise constant isotropic case.

KW - Anisotropic conductivity

KW - Conformal class

KW - Lipschitz stability

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

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Keywords

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