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arXiv · 1003.1880

On an inverse problem for anisotropic conductivity in the plane

Gennadi Henkin·Matteo Santacesaria
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Abstract

Let $\hat Ω\subset \mathbb R^2$ be a bounded domain with smooth boundary and $\hat σ$ a smooth anisotropic conductivity on $\hat Ω$. Starting from the Dirichlet-to-Neumann operator $Λ_{\hat σ}$ on $\partial \hat Ω$, we give an explicit procedure to find a unique domain $Ω$, an isotropic conductivity $σ$ on $Ω$ and the boundary values of a quasiconformal diffeomorphism $F:\hat Ω\to Ω$ which transforms $\hat σ$ into $σ$.

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Gennadi Henkin, Matteo Santacesaria. 2014-02-06. On an inverse problem for anisotropic conductivity in the plane. https://doi.org/10.1088/0266-5611%2F26%2F9%2F095011

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