Global existence of solutions for a weakly coupled system of semilinear damped wave equations

Kenji Nishihara, Yuta Wakasugi

    研究成果: Article

    8 引用 (Scopus)

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    In this paper, we consider the Cauchy problem for a weakly coupled system of semilinear damped wave equations. We prove the global existence of solutions for small data in the supercritical case for any space dimension. We also give estimates of the weighted energy of solutions and in a special case, we prove an almost optimal estimate. Moreover, in the subcritical case, we give an almost optimal estimate of the lifespan from both above and below.

    元の言語English
    ページ(範囲)4172-4201
    ページ数30
    ジャーナルJournal of Differential Equations
    259
    発行部数8
    DOI
    出版物ステータスPublished - 2015

    ASJC Scopus subject areas

    • Analysis

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