【摘要】 研究了三维空间中非线性波动方程Cauchy问题经典解的生命区间 ,利用平均化方法证明了其经典解在有限时间内发生Blow -Up ,并且得到了生命区间的上界 .更多还原

【Abstract】 The present paper is concerned with the blow-up of the classical solutions to Cauchy problem of nonlinear wave equation t 2υ Δ xυ= tυ 2 in three dimensional space and comparison method to prove that the classical solution must blow-up in a finite time,and the upper bound of the life span is obtained.更多还原