Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space

Yasuhiro Fujita, Hitoshi Ishii, Paola Loreti

    研究成果: Article

    23 引用 (Scopus)

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    We study the asymptotic behavior of the viscosity solution of the Cauchy problem for the Hamilton-Jacobi equation ut + αx · Du + H(Du) = f(x) in ℝn × (0, ∞), where α is a positive constant and H is a convex function on ℝn, and establish a convergence result for the viscosity solution u(x, t) as t → ∞. Indiana University Mathematics Journal

    元の言語English
    ページ(範囲)1671-1700
    ページ数30
    ジャーナルIndiana University Mathematics Journal
    55
    発行部数5
    DOI
    出版物ステータスPublished - 2006

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    ASJC Scopus subject areas

    • Mathematics(all)

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