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

Kenji Nishihara, Yuta Wakasugi

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)4172-4201
    Number of pages30
    JournalJournal of Differential Equations
    Volume259
    Issue number8
    DOIs
    Publication statusPublished - 2015

    Fingerprint

    Weakly Coupled System
    Damped Wave Equation
    Semilinear Wave Equation
    Wave equations
    Global Existence
    Existence of Solutions
    Estimate
    Life Span
    Cauchy Problem
    Energy

    Keywords

    • Critical exponent
    • Global existence
    • Lifespan
    • Semilinear damped wave equation
    • Weakly coupled system

    ASJC Scopus subject areas

    • Analysis

    Cite this

    Global existence of solutions for a weakly coupled system of semilinear damped wave equations. / Nishihara, Kenji; Wakasugi, Yuta.

    In: Journal of Differential Equations, Vol. 259, No. 8, 2015, p. 4172-4201.

    Research output: Contribution to journalArticle

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