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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 1 - 10 (10page)
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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.
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참고문헌 (17)
참고문헌 신청
V. Barbu / 2005 / On nonlinear wave equations with degenerate damping and source terms / Trans. Amer. Math. Soc 357(7):2571~2611
Y. Boukhatem / 2014 / Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions / Nonlinear Anal 97:191~209
Y. Boukhatem / 2016 / Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions / Acta Math. Sin 32(2):153~174
X. Han / 2011 / Global existence and blow-up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source / Math. Nachr 284(5-6):703~716
J. M. Jeong / 2015 / Energy decay rates for viscoelastic wave equation with dynamic boundary conditions / J. Comput. Anal. Appl 19(3):500~517
Y. Boukhatem / 2014 / Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions / Nonlinear Anal 97:191~209
Y. Boukhatem / 2016 / Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions / Acta Math. Sin 32(2):153~174
X. Han / 2011 / Global existence and blow-up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source / Math. Nachr 284(5-6):703~716
J. M. Jeong / 2015 / Energy decay rates for viscoelastic wave equation with dynamic boundary conditions / J. Comput. Anal. Appl 19(3):500~517
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