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Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities (1509.06277v1)
Published 21 Sep 2015 in math.AP
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.