Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity

Gaku Hoshino, Tohru Ozawa

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We prove the global existence of analytic solutions to nonlinear Schrödinger equation with quintic nonlinearity in n space dimensions for sufficiently small Cauchy data with exponential decay. The smallness assumption on the data is imposed in terms of the critical Sobolev space Ḣn/2-1/2. Moreover, a characterization of some class of analytic functions is given.

    Original languageEnglish
    Pages (from-to)285-297
    Number of pages13
    JournalJournal of Mathematical Analysis and Applications
    Volume419
    Issue number1
    DOIs
    Publication statusPublished - 2014 Nov 1

    Fingerprint

    Smoothing Effect
    Sobolev spaces
    Quintic
    Nonlinear equations
    Nonlinear Equations
    Nonlinearity
    Exponential Decay
    Analytic Solution
    Global Existence
    Sobolev Spaces
    Cauchy
    Analytic function
    Class

    Keywords

    • Analytic smoothing effect
    • Nonlinear Schrödinger equation

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity. / Hoshino, Gaku; Ozawa, Tohru.

    In: Journal of Mathematical Analysis and Applications, Vol. 419, No. 1, 01.11.2014, p. 285-297.

    Research output: Contribution to journalArticle

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