Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance

Kazumasa Fujiwara, Tohru Ozawa

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    A lifespan estimate and sharp condition of the initial data for finite time blowup for the periodic nonlinear Schrödinger equation are presented from a viewpoint of the total signed densities of initial data.

    Original languageEnglish
    Pages (from-to)1-8
    Number of pages8
    JournalJournal of Evolution Equations
    DOIs
    Publication statusAccepted/In press - 2016 Sep 9

    Fingerprint

    Gauge Invariance
    Life Span
    Strong Solution
    Nonlinear Equations
    Finite Time Blow-up
    Signed
    Estimate

    Keywords

    • Finite time blowup
    • Lifespan estimate
    • Periodic NLS
    • Power-type nonlinearity without gauge invariance

    ASJC Scopus subject areas

    • Mathematics (miscellaneous)

    Cite this

    Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance. / Fujiwara, Kazumasa; Ozawa, Tohru.

    In: Journal of Evolution Equations, 09.09.2016, p. 1-8.

    Research output: Contribution to journalArticle

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    abstract = "A lifespan estimate and sharp condition of the initial data for finite time blowup for the periodic nonlinear Schr{\"o}dinger equation are presented from a viewpoint of the total signed densities of initial data.",
    keywords = "Finite time blowup, Lifespan estimate, Periodic NLS, Power-type nonlinearity without gauge invariance",
    author = "Kazumasa Fujiwara and Tohru Ozawa",
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