Determining conductivity by boundary measurements II. Interior results

R. V. Kohn, M. Vogelius

Research output: Contribution to journalArticle

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 - Sep 1985

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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