대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제59권6호
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  • Pages.1495-1510
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  • 2022
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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BLOW UP OF SOLUTIONS FOR A PETROVSKY TYPE EQUATION WITH LOGARITHMIC NONLINEARITY

  • 투고 : 2021.11.26
  • 심사 : 2022.06.16
  • 발행 : 2022.11.30
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⟨ 이전 논문 다음 논문 ⟩

초록

This paper aims to investigate the initial boundary value problem of the nonlinear viscoelastic Petrovsky type equation with nonlinear damping and logarithmic source term. We derive the blow-up results by the combination of the perturbation energy method, concavity method, and differential-integral inequality technique.

키워드

과제정보

The authors would like to express their gratitude to the anonymous referee for their constructive comments and suggestions that allowed to improve this manuscript.

참고문헌

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