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arXiv · 1202.5485

Single-logarithmic stability for the Calderón problem with local data

Giovanni Alessandrini·Kyoungsun Kim
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Abstract

We prove an optimal stability estimate for Electrical Impedance Tomography with local data, in the case when the conductivity is precisely known on a neighborhood of the boundary. The main novelty here is that we provide a rather general method which enables to obtain the Hölder dependence of a global Dirichlet to Neumann map from a local one on a larger domain when, in the layer between the two boundaries, the coefficient is known.

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Giovanni Alessandrini, Kyoungsun Kim. 2012-02-24. Single-logarithmic stability for the Calderón problem with local data. https://doi.org/10.1515/jip-2012-0014

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