Kim Knudsen
Aalborg University, Denmark
Date: November 9, 2004
The inverse conductivity problem concerns the unique determination and reconstruction of a conductivity in a bounded domain from measurements of Cauchy data (or the so-called Dirichlet to Neumann map) on the boundary of the domain. In this talk I will dicuss a method for the reconstruction of a plane conductivity having essentially one derivative. The reconstruction method relies on a uniqueness proof due to Brown and Uhlmann and is based on the socalled dbar-method from inverse scattering. Both theoretical aspects and numerical examples will be considered. Furthermore, I will discuss recent progress on the reconstruction problem for three-dimensional conductivities. Also in this work the dbar-method plays a crucial role.