Stability of the inverse conductivity problem in the plane for less regular conductivities

The Dirichlet to Neumann map A gamma, or voltage to current map, takes Dirichlet data u = f is an element of partial derivative Omega to the conormal derivatives gamma partial derivativeu/partial derivative eta at the boundary partial derivative Omega, where u is a solution to the elliptic equation div(gamma delu) = 0. On a plane Lipchitz domain Omega subset of R-2, we consider the inverse conductivity problem that consists of the recovery of gamma in the interior of Omega from the knowledge of A gamma. We prove stability lbr this inverse map, assuming an isotropic conductivity gamma is an element ofC(1+epsilon)(<(<Omega>)over bar>). We reduce the equation div(gamma delu) = 0 to an equivalent system and use the partial derivative<(<partial derivative>)over bar>-scattering transform. This approach relaxes the number of derivatives of gamma required in former works. (C) 2001 Academic Press.