On reconstruction of complex-valued once differentiable conductivities

Evgeny Lakshtanov, Boris Vainberg

Published 2015-11-27Version 1

The classical $\overline \partial$-method has been generalized recently \cite{lnv}, \cite{lnv2} to be used in the presence of exceptional points. We apply this generalization to solve Dirac inverse scattering problem with weak assumptions on smoothness of potentials. As a consequence, this provides an effective method of reconstruction of complex-valued one time differentiable conductivities in the inverse impedance tomography problem.