Nonexistence of global solutions of nonlinear wave equations.
Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
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Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
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Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
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Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Qingyong Gao, Fushan Li, Yanguo Wang (2011)
Open Mathematics
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In this paper, we consider the nonlinear Kirchhoff-type equation with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.
Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
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Yang Zhifeng (2008)
Open Mathematics
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The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.
Haraux, A. (1992)
Portugaliae mathematica
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Cui, Zhoujin, Yang, Zuodong (2007)
Differential Equations & Nonlinear Mechanics
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Lucente, Sandra (1999)
Serdica Mathematical Journal
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We study the Cauchy problem for utt − ∆u + V (x)u^5 = 0 in 3–dimensional case. The function V (x) is positive and regular, in particular we are interested in the case V (x) = 0 in some points. We look for the global classical solution of this equation under a suitable hypothesis on the initial energy.
Tahamtani, Faramarz (2009)
Boundary Value Problems [electronic only]
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Liang, Zhilei (2010)
Abstract and Applied Analysis
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Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
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