Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations

Gaku Hoshino, Tohru Ozawa

    研究成果: Article

    4 引用 (Scopus)

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    We study the global Cauchy problem for the mass critical nonlinear Schrödinger equations. We prove the global existence of analytic solutions in both space and time variables for sufficiently small and exponentially decaying Cauchy data. The method of proof depends on the Leibniz rule for the generator of pseudo-conformal transforms at the L2 critical level.

    元の言語English
    記事番号3
    ページ(範囲)1-10
    ページ数10
    ジャーナルNonlinear Differential Equations and Applications
    23
    発行部数1
    DOI
    出版物ステータスPublished - 2016 2 1

    ASJC Scopus subject areas

    • Applied Mathematics
    • Analysis

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