Existence of Global and Bounded Solutions for Damped Sublinear Wave Equations

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著者

    • Ono Kosuke
    • Department of Mathematical and Natural Sciences The University of Tokushima

抄録

We study the initial-boundary value problem for the sublinear wave equations with a linear dampping : u" - △u - ω△u' + δu' = γlulp-2u with the homogeneous Dirichlet boundary condition and H10(Ω) x L2(Ω)-data condition under ω ≥ 0 and δ > -ωλ1. When 1<p<2, we show that the (local) weak solutions are global and uniformly bounded in time t≥0.

収録刊行物

  • Journal of mathematics, the University of Tokushima

    Journal of mathematics, the University of Tokushima (42), 19-26, 2008-12

    徳島大学

各種コード

  • NII論文ID(NAID)
    110007127171
  • NII書誌ID(NCID)
    AA11595324
  • 本文言語コード
    ENG
  • 資料種別
    departmental bulletin paper
  • ISSN
    1346-7387
  • データ提供元
    NII-ELS  IR 
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