Analytic smoothing effect for a system of schrödinger equations with two wave interaction

Gaku Hoshino, Tohru Ozawa, Gustavo Ponce

    研究成果: Article査読

    10 被引用数 (Scopus)

    抄録

    We study the global Cauchy problem for a system of Schrödinger equations with two wave interaction of quadratic, cubic and quintic degrees. For suciently small data with exponential decay at innity we prove the existence and uniqueness of global solutions which are analytic with respect to Galilei and/or pseudo-conformal generators for suciently small data with exponential decay at innity. This paper is a sequel to our paper [22], where three wave interaction is studied. We also discuss the associated Lagrange structure.

    本文言語English
    ページ(範囲)697-716
    ページ数20
    ジャーナルAdvances in Differential Equations
    20
    7-8
    出版ステータスPublished - 2015 7 1

    ASJC Scopus subject areas

    • 分析
    • 応用数学

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