Determining the temperature from Cauchy data in corner domains

B. Tomas Johansson

    Research output: Contribution to journalArticlepeer-review


    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
    Issue number1/2
    Publication statusPublished - 2010


    • 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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