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Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L p, p > 2n

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Abstract

We establish uniqueness in the inverse conductivity problem for conductivities which have 3/2 derivatives in L p, p > 2n. Our results are in dimensions three and higher.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, USA

    Russell M. Brown

  2. Department of Mathematics, University of Kansas, Lawrence, KS 66045-7523, USA

    Rodolfo H. Torres

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  1. Russell M. Brown
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  2. Rodolfo H. Torres
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Correspondence to Russell M. Brown or Rodolfo H. Torres.

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Communicated by Carlos Kenig.

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Brown, R., Torres, R. Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L p, p > 2n . J. Fourier Anal. Appl. 9, 563–574 (2003). https://doi.org/10.1007/s00041-003-0902-3

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  • DOI: https://doi.org/10.1007/s00041-003-0902-3

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