A Laplacian on Metric Measure Spaces

Simon Lyngby Kokkendorff

    Research output: Book/ReportReportResearch

    Abstract

    We introduce a Laplacian on a class of metric measure spaces via a direct pointwise mean value definition. Fundamental properties of this Laplacian, such as its symmetry as an operator on functions satisfying a Neumann or Dirichlet condition, are established.
    Original languageEnglish
    Publication statusPublished - 2006

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