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

Gaku Hoshino, Tohru Ozawa

    研究成果: Article

    3 引用 (Scopus)

    抄録

    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

    Fingerprint

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

    ASJC Scopus subject areas

    • Applied Mathematics
    • Analysis

    これを引用

    @article{d29116349daf4943acbdbd1798c1d11a,
    title = "Space-time analytic smoothing effect for the pseudo-conformally invariant Schr{\"o}dinger equations",
    abstract = "We study the global Cauchy problem for the mass critical nonlinear Schr{\"o}dinger 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.",
    keywords = "Analytic smoothing effect, Global existence, Nonlinear Schr{\"o}dinger equation",
    author = "Gaku Hoshino and Tohru Ozawa",
    year = "2016",
    month = "2",
    day = "1",
    doi = "10.1007/s00030-016-0362-5",
    language = "English",
    volume = "23",
    pages = "1--10",
    journal = "Nonlinear Differential Equations and Applications",
    issn = "1021-9722",
    publisher = "Birkhauser Verlag Basel",
    number = "1",

    }

    TY - JOUR

    T1 - Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations

    AU - Hoshino, Gaku

    AU - Ozawa, Tohru

    PY - 2016/2/1

    Y1 - 2016/2/1

    N2 - 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.

    AB - 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.

    KW - Analytic smoothing effect

    KW - Global existence

    KW - Nonlinear Schrödinger equation

    UR - http://www.scopus.com/inward/record.url?scp=84958149901&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84958149901&partnerID=8YFLogxK

    U2 - 10.1007/s00030-016-0362-5

    DO - 10.1007/s00030-016-0362-5

    M3 - Article

    AN - SCOPUS:84958149901

    VL - 23

    SP - 1

    EP - 10

    JO - Nonlinear Differential Equations and Applications

    JF - Nonlinear Differential Equations and Applications

    SN - 1021-9722

    IS - 1

    M1 - 3

    ER -