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Determining conductivity with special aniostropy by boundary measurements

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posted on 2013-08-13, 09:12 authored by Giovanni Alessandrini, ROMINA GABURROROMINA GABURRO
We prove results of uniqueness and stability at the boundary for the inverse problem of electrical impedance tomography in the presence of possibly anisotropic conduct.ivities. We assume that the unknown conductivity has the forrn A = A(x, a(x)), where a(x) is an unknown scalar function and A(x, t) is a given matrix-valued function. We also deduce results of uniqueness in the interior among conductivities A obtained by piecewise analytic perturbations of the scalar term a.

History

Publication

SIAM Journal on Mathematical Analysis;33,(1), pp. 153-171

Publisher

Society for Industrial and Applied Mathematics

Note

peer-reviewed

Rights

© Society for Industrial and Applied Mathematics

Language

English

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