The equivalence of weak solutions and entropy solutions of nonlinear degenerate second-order equations

Kazuo Kobayashi

    研究成果: Article

    15 引用 (Scopus)

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    We prove the equivalence of weak solutions and entropy solutions of an elliptic-parabolic-hyperbolic degenerate equation g(t)t - Δb(u) + div φ(u) = f with homogeneous Dirichlet conditions and initial conditions. As a result of the equivalence, we obtain the L1-contraction principle and uniqueness of weak solutions of elliptic-parabolic degenerate equations.

    元の言語English
    ページ(範囲)383-395
    ページ数13
    ジャーナルJournal of Differential Equations
    189
    発行部数2
    DOI
    出版物ステータスPublished - 2003 4 10

    ASJC Scopus subject areas

    • Analysis

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