Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions

Gaku Hoshino, Tohru Ozawa

    研究成果: Article査読

    2 被引用数 (Scopus)

    抄録

    We study the Cauchy problem for the cubic hyperbolic Schrödinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalized Leibniz rule for the generator of pseudo-conformal transform acting on pseudo-conformally invariant nonlinearity.

    本文言語English
    ジャーナルElectronic Journal of Differential Equations
    2016
    出版ステータスPublished - 2016 1 25

    ASJC Scopus subject areas

    • Analysis

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