Convexified Gauss curvature flow of sets: A stochastic approximation

Hitoshi Ishii, Toshio Mikami

    研究成果: Article査読

    2 被引用数 (Scopus)

    抄録

    We construct a discrete stochastic approximation of a convexified Gauss curvature flow of boundaries of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.

    本文言語English
    ページ(範囲)552-579
    ページ数28
    ジャーナルSIAM Journal on Mathematical Analysis
    36
    2
    DOI
    出版ステータスPublished - 2005

    ASJC Scopus subject areas

    • Mathematics(all)
    • Analysis
    • Applied Mathematics
    • Numerical Analysis

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