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Keywords:
nonlinear hyperbolic equation; initial boundary value problem; classical \linebreak global solution; blow up of solutions
nonlinear hyperbolic equation; initial boundary value problem; classical \linebreak global solution; blow up of solutions
Summary:
References:
[1] Zhuang Wei, Yang Guitong: Propagation of solitary waves in the nonlinear rods. Applied Mathematics and Mechanics 7 (1986), 571-581.
[2] Zhang Shangyuan, Zhuang Wei: Strain solitary waves in the nonlinear elastic rods (in Chinese). Acta Mechanica Sinica 20 (1988), 58-66.
[3] Chen Guowang, Yang Zhijian, Zhao Zhancai: Initial value problems and first boundary problems for a class of quasilinear wave equations. Acta Mathematicae Applicate Sinica 9 (1993), 289-301. MR 1259814 | Zbl 0822.35094
[4] Levine H.A.: Some additional remarks on the nonexistence of global solutions to nonlinear wave equations. SIAM J. Math. Anal. 5 (1974), 138-146. MR 0399682 | Zbl 0243.35069
[5] Levine H.A.: Instability & nonexistence of global solutions to nonlinear wave equations of the form $Pu_{tt}=-Au+F(u)$. Trans. of AMS 192 (1974), 1-21. MR 0344697
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