JournalsrmiVol. 19, No. 1pp. 57–72

Complex geometrical optics solutions for Lipschitz conductivities

  • Lassi Päivärinta

    University of Oulu, Finland
  • Alexander Panchenko

    Pennsylvania State University, University Park, USA
  • Gunther Uhlmann

    University of Washington, Seattle, United States
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Abstract

We prove the existence of complex geometrical optics solutions for Lipschitz conductivities. Moreover we show that, in dimensions n3n\ge 3 that one can uniquely recover a W3/2,W^{3/2, \infty} conductivity from its associated Dirichlet-to-Neumann map or voltage to current map.

Cite this article

Lassi Päivärinta, Alexander Panchenko, Gunther Uhlmann, Complex geometrical optics solutions for Lipschitz conductivities. Rev. Mat. Iberoam. 19 (2003), no. 1, pp. 57–72

DOI 10.4171/RMI/338