Determining conductivity by boundary measurements II. Interior results

Robert Kohn, M. Vogelius

Research output: Contribution to journal › Article

Abstract

In a recent paper [6] we showed that an unknown real‐analytic conductivity γ may be determined from static boundary measurements. Here we extend this analysis by demonstrating that a similar result holds for piecewise real‐analytic conductivities. In addition, for the special case of a layered structure we show that a three times continuously differentiable conductivity is identifiable by boundary measurements.

Original languageEnglish (US)
Pages (from-to)643-667
Number of pages25
JournalCommunications on Pure and Applied Mathematics
Volume38
Issue number5
DOIs
StatePublished - 1985

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Conductivity
Interior
Continuously differentiable
Unknown

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Determining conductivity by boundary measurements II. Interior results. / Kohn, Robert; Vogelius, M.

In: Communications on Pure and Applied Mathematics, Vol. 38, No. 5, 1985, p. 643-667.

Research output: Contribution to journal › Article

Kohn, R & Vogelius, M 1985, 'Determining conductivity by boundary measurements II. Interior results', Communications on Pure and Applied Mathematics, vol. 38, no. 5, pp. 643-667. https://doi.org/10.1002/cpa.3160380513
Kohn R, Vogelius M. Determining conductivity by boundary measurements II. Interior results. Communications on Pure and Applied Mathematics. 1985;38(5):643-667. https://doi.org/10.1002/cpa.3160380513
Kohn, Robert ; Vogelius, M. / Determining conductivity by boundary measurements II. Interior results. In: Communications on Pure and Applied Mathematics. 1985 ; Vol. 38, No. 5. pp. 643-667.
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