A Laplacian on Metric Measure Spaces

Simon Lyngby Kokkendorff

A Laplacian on Metric Measure Spaces

Simon Lyngby Kokkendorff

Research output: Book/Report › Report › Research

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 language	English

Publication status	Published - 2006

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A Laplacian on Metric Measure Spaces

Abstract

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