Small data blow-up for a system of nonlinear Schrödinger equations

Tohru Ozawa, Hideaki Sunagawa

    研究成果: Article

    17 引用 (Scopus)

    抄録

    We give examples of small data blow-up for a three-component system of quadratic nonlinear Schrödinger equations in one space dimension. Our construction of the blowing-up solution is based on the Hopf-Cole transformation, which allows us to reduce the problem to getting suitable growth estimates for a solution to the transformed system. Amplification in the reduced system is shown to have a close connection with the mass resonance.

    元の言語English
    ページ(範囲)147-155
    ページ数9
    ジャーナルJournal of Mathematical Analysis and Applications
    399
    発行部数1
    DOI
    出版物ステータスPublished - 2013 3 1

    Fingerprint

    System of Nonlinear Equations
    Nonlinear equations
    Blow-up
    Blow molding
    Blowing-up Solution
    Cole-Hopf Transformation
    Amplification
    Quadratic equation
    Nonlinear Equations
    Estimate

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    これを引用

    Small data blow-up for a system of nonlinear Schrödinger equations. / Ozawa, Tohru; Sunagawa, Hideaki.

    :: Journal of Mathematical Analysis and Applications, 巻 399, 番号 1, 01.03.2013, p. 147-155.

    研究成果: Article

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