A Note on Reconstructing the Conductivity in Impedance Tomography by Elastic Perturbation
Résumé
We give a short review on the hybrid inverse problem of reconstructing the conductivity in a medium in $R^n$, n= 2, 3, from the knowledge of the pointwise values of the energy densities associated with imposed boundary voltages. We show that given n boudary voltages, the associated voltage potentials solve an elliptic system of PDE's in the subregions where they define a diffeomorphism, from which stability estimates can be obtained.