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.
Titolo: | Single-logarithmic stability for the Calderón problem with local data |
Autori: | |
Data di pubblicazione: | 2012 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11368/2611421 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/jip-2012-0014 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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