Existence of Global and Bounded Solutions for Damped Sublinear Wave Equations

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Author(s)

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

Abstract

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.

Journal

  • Journal of mathematics, the University of Tokushima

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

    The University of Tokushima

Codes

  • NII Article ID (NAID)
    110007127171
  • NII NACSIS-CAT ID (NCID)
    AA11595324
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    1346-7387
  • Data Source
    NII-ELS  IR 
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