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

Gaku Hoshino, Tohru Ozawa

    Research output: Contribution to journal › Article

    3 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number3
    Pages (from-to)1-10
    Number of pages10
    JournalNonlinear Differential Equations and Applications
    Volume23
    Issue number1
    DOIs
    Publication statusPublished - 2016 Feb 1

    Fingerprint

    Leibniz' rule
    Smoothing Effect
    Analytic Solution
    Nonlinear equations
    Global Existence
    Cauchy
    Cauchy Problem
    Nonlinear Equations
    Space-time
    Generator
    Transform
    Invariant

    Keywords

    • Analytic smoothing effect
    • Global existence
    • Nonlinear Schrödinger equation

    ASJC Scopus subject areas

    • Applied Mathematics
    • Analysis

    Cite this

    Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations. / Hoshino, Gaku; Ozawa, Tohru.

    In: Nonlinear Differential Equations and Applications, Vol. 23, No. 1, 3, 01.02.2016, p. 1-10.

    Research output: Contribution to journal › Article

    Hoshino, G & Ozawa, T 2016, 'Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations', Nonlinear Differential Equations and Applications, vol. 23, no. 1, 3, pp. 1-10. https://doi.org/10.1007/s00030-016-0362-5
    Hoshino G, Ozawa T. Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations. Nonlinear Differential Equations and Applications. 2016 Feb 1;23(1):1-10. 3. https://doi.org/10.1007/s00030-016-0362-5
    Hoshino, Gaku ; Ozawa, Tohru. / Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations. In: Nonlinear Differential Equations and Applications. 2016 ; Vol. 23, No. 1. pp. 1-10.
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