Abstract

We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body Ω⊂Rn, n≥3, by means of the so-called local Neumann-to-Dirichlet map on a curved portion Σ of its boundary ∂Ω. Motivated by the uniqueness result for piecewise constant anisotropic conductivities proved in Inverse Problems 33 (2018), 125013, we provide a Hölder stability estimate on Σ when the conductivity is a-priori known to be a constant matrix near Σ.

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