Abstract
We give a short review on the hybrid inverse problem of reconstructing the conductivity in a medium in \(\mathbf {R}^n, n = 2,3,\) 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.
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Bonnetier, E., Triki, F. (2014). A Note on Reconstructing the Conductivity in Impedance Tomography by Elastic Perturbation. In: Wakayama, M., et al. The Impact of Applications on Mathematics. Mathematics for Industry, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54907-9_21
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DOI: https://doi.org/10.1007/978-4-431-54907-9_21
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