Resumen
The Dirichlet to Neumann map , or voltage to current map, takes Dirichlet data u=f to the conormal derivatives at the boundary , where u is a solution to the elliptic equation div( u)=0. On a plane Lipchitz domain R2, we consider the inverse conductivity problem that consists of the recovery of in the interior of from the knowledge of . We prove stability for this inverse map, assuming an isotropic conductivity C1+(). We reduce the equation div( u)=0 to an equivalent system and use the -scattering transform. This approach relaxes the number of derivatives of required in former works.