Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain

Hitoshi Ishii, Moto Hiko Sato

    研究成果: Article査読

    18 被引用数 (Scopus)

    抄録

    We establish comparison and existence theorems of viscosity solutions of the initial-boundary value problem for some singular degenerate parabolic partial differential equations with nonlinear oblique derivative boundary conditions. The theorems cover the capillary problem for the mean curvature flow equation and apply to more general Neumann-type boundary problems for parabolic equations in the level set approach to motion of hypersurfaces with velocity depending on the normal direction and curvature.

    本文言語English
    ページ(範囲)1077-1098
    ページ数22
    ジャーナルNonlinear Analysis, Theory, Methods and Applications
    57
    7-8
    DOI
    出版ステータスPublished - 2004 6

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

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