• 제목/요약/키워드: arbitrary positive initial energy

검색결과 1건 처리시간 0.013초

BLOW-UP PHENOMENA OF ARBITRARY POSITIVE INITIAL ENERGY SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS

  • Yi, Su-Cheol
    • 충청수학회지
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    • 제35권2호
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    • pp.137-147
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    • 2022
  • In this paper, we considered the Dirichlet initial boundary value problem of a nonlinear viscoelastic wave equation with nonlinear damping and source terms, and investigated finite time blow-up phenomena of the solutions to the equation with arbitrary positive initial data, under suitable conditions.