On a system of semirelativistic equations in the energy space

Kazumasa Fujiwara, Shuji Machihara, Tohru Ozawa

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    3 Citations (Scopus)


    Well-posedness of the Cauchy problem for a system of semirelativistic equations is shown in the energy space. Solutions are constructed as a limit of an approximate solutions. A Yudovitch type argument plays an important role for the convergence arguments.

    Original languageEnglish
    Pages (from-to)1343-1355
    Number of pages13
    JournalCommunications on Pure and Applied Analysis
    Issue number4
    Publication statusPublished - 2015 Jul 1



    • Compactness argument
    • Quadratic nonlinearity
    • Semirelativistic equation
    • Well-posedness
    • Yudovitch argument

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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