Determining the temperature from Cauchy data in corner domains

B. Tomas Johansson

Research output: Contribution to journalArticle

Abstract

We consider the problem of reconstruction of the temperature from knowledge of the temperature and heat flux on a part of the boundary of a bounded planar domain containing corner points. An iterative method is proposed involving the solution of mixed boundary value problems for the heat equation (with time-dependent conductivity). These mixed problems are shown to be well-posed in a weighted Sobolev space.
Original languageEnglish
Pages (from-to)122-131
Number of pages10
JournalInternational Journal of Computing Science and Mathematics
Volume3
Issue number1/2
DOIs
Publication statusPublished - 2010

Keywords

  • Cauchy problem
  • corner domains
  • heat equations
  • ill-posed
  • iterative regularisation
  • weighted Sobolev space
  • temperature reconstruction
  • heat flux
  • mixed boundary value
  • time-dependent conductivity

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