On reconstruction of complex-valued once differentiable conductivities

Type: Article

Publication Date: 2016-12-09

Citations: 6

DOI: https://doi.org/10.4171/jst/146

Abstract

The classical \bar \partial -method has been generalized recently ([13] and [14]) 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.

Locations

  • Journal of Spectral Theory - View - PDF
  • arXiv (Cornell University) - View - PDF

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