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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Feng, Xueshang (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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de Lima Santos, Mauro (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Messaoudi, Salim A., Said-Houari, Belkacem (2004)
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Ferreira, José, Perla Menzala, Gustavo (1986)
International Journal of Mathematics and Mathematical Sciences
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Guo Wang Chen, Shu Bin Wang (1995)
Commentationes Mathematicae Universitatis Carolinae
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The existence and uniqueness of classical global solution and blow up of non-global solution to the first boundary value problem and the second boundary value problem for the equation are proved. Finally, the results of the above problem are applied to the equation arising from nonlinear waves in elastic rods