Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

2015/09/21 by Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro +1 · 1 citation
Mathematics · #math.AP #msc:35R30

paper · pdf · doi:10.1016/j.matpur.2016.10.001

published as Journal de mathématiques pures et appliquées , (2016) · 28 pages. arXiv admin note: text overlap with arXiv:1405.0475

arxiv created 2015/09/21 · arxiv updated 2016/11/03

Abstract

We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function on a domain Ω⊂ℝⁿ and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.

Citations

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

Cited by

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

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