Remarks on global solutions to the cauchy problem for semirelativistic equations with power type nonlinearity

Kazumasa Fujiwara, Tohru Ozawa

    研究成果: Article

    4 引用 (Scopus)

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    Existence and nonexistence results on global solutions to the Cauchy problem for semirelativistic equations are shown by a simple compact- ness argument and a test function method, respectively. To obtain the nonexistence of global solutions, semirelativistic equations are trans- formed into a new equation without nonlocal operators in linear part but with a time derivative in nonlinear part, which is shown to be under control of special choice of test functions.

    元の言語English
    ページ(範囲)2599-2610
    ページ数12
    ジャーナルInternational Journal of Mathematical Analysis
    9
    発行部数53-56
    DOI
    出版物ステータスPublished - 2015

    ASJC Scopus subject areas

    • Mathematics(all)

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