Space-time analytic smoothing effect for a system of nonlinear Schrödinger equations with non pseudo-conformally invariant interactions

Gaku Hoshino*

*この研究の対応する著者

    研究成果: Article査読

    2 被引用数 (Scopus)

    抄録

    In this study, we consider the local Cauchy problem for a system of nonlinear Schrödinger equations with non pseudo-conformally invariant interactions in the framework of space of charge and in the framework of space of energy. The main purpose of this study is to construct local solutions in function spaces of analytic vectors for the Galilei generator and the pseudo-conformal generator with data which satisfy exponentially decaying condition at spatial infinity. In particular, we improve the nonlinear estimates have been proved by Hayashi and Kato and Ozawa et al. involving the pseudo-conformal generator with coefficient which depends on time of local existence of solutions and has singularity at finite value.

    本文言語English
    ページ(範囲)802-819
    ページ数18
    ジャーナルCommunications in Partial Differential Equations
    42
    5
    DOI
    出版ステータスPublished - 2017 5 4

    ASJC Scopus subject areas

    • 分析
    • 応用数学

    フィンガープリント

    「Space-time analytic smoothing effect for a system of nonlinear Schrödinger equations with non pseudo-conformally invariant interactions」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

    引用スタイル