A method of energy estimates in L and its application to porous medium equations

Mitsuharu Otani*, Yoshie Sugiyama

*この研究の対応する著者

    研究成果: Article査読

    4 被引用数 (Scopus)

    抄録

    The existence of time local C-solutions is shown for Cauchy problem of the porous medium equations. Our arguments rely on the "L-energy method" developed in our previous paper [16] and a new method based on the theory of evolution equations in the L2-framework which enables us to handle with porturbations which can be decomposed into monotone parts and small parts in Sobolev spaces of higher order.

    本文言語English
    ページ(範囲)1-789
    ページ数789
    ジャーナルJournal of the Mathematical Society of Japan
    53
    4
    出版ステータスPublished - 2001 10月

    ASJC Scopus subject areas

    • 数学 (全般)

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