ON THE INVERSE CONDUCTIVITY PROBLEM

It is shown here that for the boundary value problem div(a del u) = de lta(x) in [R-n, u(x) --> 0 as \x\ --> infinity in order to identify t he coefficient a, one needs the additional data u(x,x) = g(x,x*), whe re x is an element of Gamma(1), x is an element of Gamma(2), Gamma(1) , Gamma(2) are two open nonempty subsurfaces of partial derivative Ome ga (Omega is a domain with analytic boundary which contains a bounded set V) and a is an element of H(2p)p greater than or equal to n/2, and a satisfies conditions of Lemma 2. Here we also prove the uniqueness of a entering to the problem the additional data. (C) 1998 Elsevier Sc ience Inc. All rights reserved.