Nachman's reconstruction method for the Calderón problem with discontinuous conductivities

George Lytle, Peter Perry, Samuli Siltanen

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We show that Nachman's integral equations for the Calderón problem, derived for conductivities in W2,p(ω), still hold for L conductivities which are 1 in a neighborhood of the boundary. We also prove convergence of scattering transforms for smooth approximations to the scattering transform of L conductivities. We rely on Astala-Päivärinta's formulation of the Calderón problem for a framework in which these convergence results make sense.

Original languageEnglish
Article number035018
JournalInverse Problems
Issue number3
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 IOP Publishing Ltd.


  • Calderón problem
  • complex geometric optics solutions
  • conductivity equation
  • electrical impedance tomography
  • nonlinear Fourier transform

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics


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