A lower decay estimate for a degenerate Kirchhoff type wave equation with strong dissipation

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Author(s)

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

Abstract

Consider the initial-boundary value problem for the degenerate Kirchhoff type wave equation with strong dissipation : ρ ∂2u/∂t2 − (∫ Ω |∇u(x,t)|2 dx ) Δu−δΔ ∂u /∂t = 0. For all t ≥ 0, a lower decay estimate of the solution ∥∇u(t)∥2 ≥ c (1 + t)−1 is derived when either the coefficient ρ or the initial data are appropriately smaller than the coefficient δ.

Journal

  • Journal of mathematics, the University of Tokushima

    Journal of mathematics, the University of Tokushima (44), 27-31, 2010-12

    The University of Tokushima

Codes

  • NII Article ID (NAID)
    110007870532
  • 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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