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

Toyohiko Aiki, Hitoshi Imai, Naoyuki Ishimura, Yoshio Yamada

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)587-606
    Number of pages20
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume51
    Issue number4
    DOIs
    Publication statusPublished - 2002 Nov

    Fingerprint

    Stefan Problem
    Well-posedness
    Heat Equation
    Boundary value problems
    Large Time Behavior
    Nonnegative Solution
    Uniqueness Theorem
    Behavior of Solutions
    Existence and Uniqueness of Solutions
    Global Existence
    Initial-boundary-value Problem
    Hot Temperature

    Keywords

    • Green's function
    • One-phase Stefan problems
    • Sublinear heat equations
    • Uniqueness of solutions

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

    Cite this

    Well-posedness of one-phase Stefan problems for sublinear heat equations. / Aiki, Toyohiko; Imai, Hitoshi; Ishimura, Naoyuki; Yamada, Yoshio.

    In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 51, No. 4, 11.2002, p. 587-606.

    Research output: Contribution to journalArticle

    Aiki, Toyohiko ; Imai, Hitoshi ; Ishimura, Naoyuki ; Yamada, Yoshio. / Well-posedness of one-phase Stefan problems for sublinear heat equations. In: Nonlinear Analysis, Theory, Methods and Applications. 2002 ; Vol. 51, No. 4. pp. 587-606.
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