Parametric resonance and nonexistence of the global solution to nonlinear wave equations

被引:9
作者
Yagdjian, K [1 ]
机构
[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 305, Japan
关键词
parametric resonance; nonlinear wave equations; global solution;
D O I
10.1006/jmaa.2000.7469
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give an example of the influence of the dependence of the coefficient of equation on time variable, and in particular oscillations in time, on a global existence of the solution to the nonlinear hyperbolic equation. Namely for arbitrary small initial data we construct a blowing up solution. (C) 2001 Academic Press.
引用
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页码:251 / 268
页数:18
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