Determining conductivity with special aniostropy by boundary measurements

Abstract

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.