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Licensed Unlicensed Requires Authentication Published by De Gruyter October 2, 2012

Single-logarithmic stability for the Calderón problem with local data

  • Giovanni Alessandrini EMAIL logo and Kyoungsun Kim


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.

Received: 2012-03-05
Published Online: 2012-10-02
Published in Print: 2012-10-01

© 2012 by Walter de Gruyter Berlin Boston

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