On a system of semirelativistic equations in the energy space

Kazumasa Fujiwara, Shuji Machihara, Tohru Ozawa

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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
    Volume14
    Issue number4
    DOIs
    Publication statusPublished - 2015 Jul 1

    Fingerprint

    System of equations
    Energy
    Well-posedness
    Cauchy Problem
    Approximate Solution

    Keywords

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

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    On a system of semirelativistic equations in the energy space. / Fujiwara, Kazumasa; Machihara, Shuji; Ozawa, Tohru.

    In: Communications on Pure and Applied Analysis, Vol. 14, No. 4, 01.07.2015, p. 1343-1355.

    Research output: Contribution to journalArticle

    Fujiwara, Kazumasa ; Machihara, Shuji ; Ozawa, Tohru. / On a system of semirelativistic equations in the energy space. In: Communications on Pure and Applied Analysis. 2015 ; Vol. 14, No. 4. pp. 1343-1355.
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