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Single-logarithmic stability for the Calderón problem with local data
-
Giovanni Alessandrini
and
Kyoungsun Kim
Published/Copyright:
October 2, 2012
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.
Keywords: Electrical impedance tomography; stability
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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Articles in the same Issue
- Masthead
- Preface
- Single-logarithmic stability for the Calderón problem with local data
- The identification problem for the functional equation with a parameter
- A posteriori error analysis for unstable models
- A review of selected techniques in inverse problem nonparametric probability distribution estimation
- Unified approach to classical equations of inverse problem theory
- Optimized analytic reconstruction for SPECT
- Numerical method for solving an inverse electrocardiography problem for a quasi stationary case
- A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
- On inverse problems in partially ordered spaces with a priori information
- An iterative method for a two-dimensional inverse scattering problem for a dielectric
- On the Shack–Hartmann based wavefront reconstruction: Stability and convergence rates of finite-dimensional approximations
- Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem
