非线性波动方程解的Blow　up

BLOW UP OF SOLUTIONS NONLINEAR WAVE EQUATIONS

本文证明了非线性波动方程的一类小初值问题，当初始能量小于或等于零时，解在有限时间内Ｂｌｏｗ ｕｐ．并给出当解有有限扩散速度时解的生命区间（ｌｉｆｅ ｓｐａｎ）的上界估计．

In this paper, we prove that the solutions of Cauchy problems to some nonlinear wave equations with small initial data blow up when the intial energy is less than or equal zero, and we have obtained the estimation of supremum life span of the solutions.