Critical exponent for the Cauchy problem to the weakly coupled damped wave system

Kenji Nishihara, Yuta Wakasugi*

*この研究の対応する著者

    研究成果: Article査読

    20 被引用数 (Scopus)

    抄録

    In this paper, we consider a system of weakly coupled semilinear damped wave equations. We determine the critical exponent for any space dimensions. Our proof of the global existence of solutions for supercritical nonlinearities is based on a weighted energy method, whose multiplier is appropriately modified in the case where one of the exponent of the nonlinear term is less than the so called Fujita's critical exponent. We also give estimates of the lifespan of solutions from above for subcritical nonlinearities.

    本文言語English
    ページ(範囲)249-259
    ページ数11
    ジャーナルNonlinear Analysis, Theory, Methods and Applications
    108
    DOI
    出版ステータスPublished - 2014

    ASJC Scopus subject areas

    • 分析
    • 応用数学

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