The two dimensional inverse conductivity problem - Sorbonne Université
Journal Articles The Journal of Geometric Analysis Year : 2018

The two dimensional inverse conductivity problem

Abstract

In this article, we introduce a process to reconstruct a Riemann surface with boundary equipped with a linked conductivity tensor from its boundary and the Dirichlet-Neumann operator associated to this conductivity. When initial data comes from a two dimensional real Riemannian surface equipped with a conductivity tensor, this process recovers its conductivity structure. Dedication In January 2016 my friend Gennadi Henkin, with whom I had worked for more than …fteen years, passed away. This paper, which comes back on a subject he brought, is dedicated to him. The numerous citations from the articles he authored show the depth of the mathematical thought of Gennadi.
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Dates and versions

hal-03014037 , version 1 (19-11-2020)

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Vincent Michel. The two dimensional inverse conductivity problem. The Journal of Geometric Analysis, 2018, 30 (3), pp.2776-2842. ⟨10.1007/s12220-018-00139-2⟩. ⟨hal-03014037⟩
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