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.