Determining conductivity by boundary measurements

Robert Kohn, Michael Vogelius

Research output: Contribution to journalArticle

Abstract

In [2], A. P. Caldéron posed the following question: can one determine the heat conductivity of an object from static temperature and heat flux measurements at the boundary? We show that such measurements uniquely determine the conductivity and all of its derivatives at the boundary.

Original languageEnglish (US)
Pages (from-to)289-298
Number of pages10
JournalCommunications on Pure and Applied Mathematics
Volume37
Issue number3
DOIs
StatePublished - May 1984

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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