A Billiard-Based Game Interpretation of the Neumann Problem for the Curve Shortening Equation

DOI IR (HANDLE) Open Access

Description

This paper constructs a family of discrete games, whose value functions converge to the unique viscosity solution of the Neumann boundary problem of the curve shortening flow equation. To derive the boundary condition, a billiard semiflow is introduced and its basic properties near the boundary are studied for convex and more general domains. It turns out that Neumann boundary problems of mean curvature flow equations can be intimately connected with purely deterministic game theory.

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Keywords

Details 詳細情報について

  • CRID
    1390290699772126848
  • NII Article ID
    120006459618
  • DOI
    10.14943/84071
  • HANDLE
    2115/69729
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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