Global uniqueness in the impedance-imaging problem for less regular conductivities

Russell M. Brown

Research output: Contribution to journalArticlepeer-review

59 Scopus citations

Abstract

If Lγ = divγ∇ is an elliptic operator with scalar coefficient γ, we show that we can recover the coefficient γ from the Dirichlet-to-Neumann map under the assumption that γ has only 3/2 + ε derivatives. Previously, the best result required γ to have two derivatives.

Original languageEnglish
Pages (from-to)1049-1056
Number of pages8
JournalSIAM Journal on Mathematical Analysis
Volume27
Issue number4
DOIs
StatePublished - Jul 1996

Keywords

  • Besov space
  • Dirichlet-to-Neumann map
  • Impedance imaging
  • Inverse problem

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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