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.
Single-logarithmic stability for the Calderón problem with local data / Alessandrini, Giovanni; Kyoungsun, Kim. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 20:(2012), pp. 389-400. [10.1515/jip-2012-0014]
Single-logarithmic stability for the Calderón problem with local data
ALESSANDRINI, GIOVANNI;
2012-01-01
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.Pubblicazioni consigliate
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