数学年刊A辑
數學年刊A輯
수학년간A집
CHINESE ANNALS OF MATHEMATICS,SERIES A
2010年
1期
81-90
,共10页
柯西问题%带粘性的波动方程%偶数维空间%逐点估计%惠更斯原理
柯西問題%帶粘性的波動方程%偶數維空間%逐點估計%惠更斯原理
가서문제%대점성적파동방정%우수유공간%축점고계%혜경사원리
Cauchy problem%Wave equation with viscosity%Multi even dimensions%Pointwise estimate%Huygens principle
研究偶数维空间带粘性的波动方程柯西问题解的逐点估计.通过对格林函数的精细分析,得到解的大时间状态.解呈现出惠更斯现象.
研究偶數維空間帶粘性的波動方程柯西問題解的逐點估計.通過對格林函數的精細分析,得到解的大時間狀態.解呈現齣惠更斯現象.
연구우수유공간대점성적파동방정가서문제해적축점고계.통과대격림함수적정세분석,득도해적대시간상태.해정현출혜경사현상.
This paper studies the pointwise estimate of solution to the Cauchy problem for the wave equation with viscosity in multi even dimensions.Through the explicit analysis of the Green function,the large time behavior of solution is obtained,and the solution exhibits the generalized Huygens principle.
