On the global well-posedness for the nonlinear Schrdinger equations with large initial data of infinite L2 norm

Ryosuke Hyakuna, Takamasa Tanaka, Masayoshi Tsutsumi

    研究成果: Article

    4 引用 (Scopus)

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    It is shown that the Cauchy problem for the nonlinear Schrdinger equations iut+△u±|u|p-1u=0,x∈ℝd, t>0 is globally well-posed for a class of initial data which lie in a Lq space with q near 2 when 1<p<1+4d and d≤4.

    元の言語English
    ページ(範囲)1304-1319
    ページ数16
    ジャーナルNonlinear Analysis, Theory, Methods and Applications
    74
    発行部数4
    DOI
    出版物ステータスPublished - 2011 2 15

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    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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