Reconstruction of less regular conductivities in the plane

Original · EN

We study the inverse conductivity problem of how to reconstruct an isotropic electrical conductivity distribution γ in an object from static electrical measurements on the boundary of the object. We give an exact reconstruction algorithm for the conductivity γ∈ C¹⁺ε() in the plane domain Ω from the associated Dirichlet to Neumann map on ∂. Hence we improve earlier reconstruction results. The method used relies on a well-known reduction to a first order system, for which the ∂-method of inverse scattering theory can be applied.