English

On reconstruction of complex-valued once differentiable conductivities

Mathematical Physics 2017-10-12 v4 Analysis of PDEs math.MP

Abstract

The classical \overline \partial-method has been generalized recently [lnv], [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.

Keywords

Cite

@article{arxiv.1511.08780,
  title  = {On reconstruction of complex-valued once differentiable conductivities},
  author = {Evgeny Lakshtanov and Boris Vainberg},
  journal= {arXiv preprint arXiv:1511.08780},
  year   = {2017}
}

Comments

In memory of our dear friend Yuri Safarov

R2 v1 2026-06-22T11:55:50.495Z