Well-posedness of one-phase Stefan problems for sublinear heat equations

Toyohiko Aiki, Hitoshi Imai, Naoyuki Ishimura, Yoshio Yamada

    研究成果: Article査読

    4 被引用数 (Scopus)

    抄録

    Well-posedness of one-phase Stefan problems for sublinear heat equations was studied. Nonnegative solutions were considered because the uniqueness theorem held only for them. The global existence and uniqueness of solutions of Stefan problems were established. Results indicated that the large-time behavior of solutions of the problem was similar to that of the initial boundary value problem.

    本文言語English
    ページ(範囲)587-606
    ページ数20
    ジャーナルNonlinear Analysis, Theory, Methods and Applications
    51
    4
    DOI
    出版ステータスPublished - 2002 11

    ASJC Scopus subject areas

    • 分析
    • 応用数学
    • 数学 (全般)

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