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We consider the stability issue of the inverse conductivity problem for aconformal class of anisotropic conductivities in terms of the localDirichlet-to-Neumann map. We extend here the stability result obtained byAlessandrini and Vessella in Advances in Applied Mathematics 35:207-241, wherethe authors considered the piecewise constant isotropic case.

Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities