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arXiv · 2303.17362

Determining an anisotropic conductivity by boundary measurements: stability at the boundary

Giovanni Alessandrini·Romina Gaburro·Eva Sincich
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Abstract

We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body by means of the so called local Neumann to Dirichlet map on a curved portion $\Sigma$ of the boundary. Motivated by the uniqueness result for piecewise constant anisotropic conductivities proved in \cite{Al-dH-G}, we provide a H\"{o}lder stability estimate on $\Sigma$ when the conductivity is a priori known to be a constant matrix near $\Sigma$.

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Giovanni Alessandrini, Romina Gaburro, Eva Sincich. 2023-03-30. Determining an anisotropic conductivity by boundary measurements: stability at the boundary. https://arxiv.org/abs/2303.17362

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