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arXiv · 1509.06277

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

Giovanni Alessandrini·Maarten V. de Hoop·Romina Gaburro·Eva Sincich
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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 $\Omega\subset\mathbb{R}^n$ and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.

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Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro, Eva Sincich. 2015-09-21. Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities. https://doi.org/10.1016/j.matpur.2016.10.001

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