C∞-solutions of some degenerate parabolic equations

Mitsuharu Otani, Y. Sugiyama

    Research output: Contribution to journal › Article

    Abstract

    The existence of time local smooth solutions of (P) in higher dimensions is analyzed. A time local solution which is smooth with respect to time and space variables is constructed. Thus, the existence of time local solutions for the porous medium equations is proven.

    Original languageEnglish
    Pages (from-to)3171-3181
    Number of pages11
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume47
    Issue number5
    DOIs
    Publication statusPublished - 2001 Aug

    Fingerprint

    Degenerate Parabolic Equation
    Porous materials
    Local Solution
    Porous Medium Equation
    Local Time
    Smooth Solution
    Higher Dimensions

    Keywords

    • Porous medium equation
    • Quasilinear parabolic equations
    • Smooth solutions
    • Time local solutions

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

    Cite this

    C∞-solutions of some degenerate parabolic equations. / Otani, Mitsuharu; Sugiyama, Y.

    In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 47, No. 5, 08.2001, p. 3171-3181.

    Research output: Contribution to journal › Article

    Otani, M & Sugiyama, Y 2001, 'C∞-solutions of some degenerate parabolic equations', Nonlinear Analysis, Theory, Methods and Applications, vol. 47, no. 5, pp. 3171-3181. https://doi.org/10.1016/S0362-546X(01)00434-5
    Otani M, Sugiyama Y. C∞-solutions of some degenerate parabolic equations. Nonlinear Analysis, Theory, Methods and Applications. 2001 Aug;47(5):3171-3181. https://doi.org/10.1016/S0362-546X(01)00434-5
    Otani, Mitsuharu ; Sugiyama, Y. / C∞-solutions of some degenerate parabolic equations. In: Nonlinear Analysis, Theory, Methods and Applications. 2001 ; Vol. 47, No. 5. pp. 3171-3181.
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