• 제목/요약/키워드: Kirchoff-type equation

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Blow-up of Solutions for Higher-order Nonlinear Kirchhoff-type Equation with Degenerate Damping and Source

  • Kang, Yong Han;Park, Jong-Yeoul
    • Kyungpook Mathematical Journal
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    • 제61권1호
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    • pp.1-10
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    • 2021
  • This paper is concerned the finite time blow-up of solution for higher-order nonlinear Kirchhoff-type equation with a degenerate term and a source term. By an appropriate Lyapunov inequality, we prove the finite time blow-up of solution for equation (1.1) as a suitable conditions and the initial data satisfying ||Dmu0|| > B-(p+2)/(p-2q), E(0) < E1.