节点文献
一类波动方程经典解的生命区间
Life span of the classical solutions to wave equation
【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 .
【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.
【基金】 河南省自然科学基金! (9940 1180 0 );河南农业大学青年科学基金资助项目! (990 10 0 3) .
- 【文献出处】 华北水利水电学院学报 ,JOURNAL OF NORTH CHINA INSTITUTE OF WATER CONSERVANCY AND HYDROELECTRIC POWER , 编辑部邮箱 ,2000年01期
- 【分类号】O175
- 【下载频次】28