数学
初值问题
柯西问题
非线性系统
数学分析
柯西分布
数学物理
物理
量子力学
出处
期刊:Siam Journal on Mathematical Analysis
[Society for Industrial and Applied Mathematics]
日期:1984-03-01
卷期号:15 (2): 357-366
被引量:84
摘要
Solutions to the Cauchy problem for the equation $iu_t = \Delta + (\left| u \right|^2 )u - ({{ia} / 2})u\,(a > 0,x \in R^n ,t > 0);\,u(x,0) = u_0 (x)$ are considered. Conditions on uo and q are given so that solutions do not exist for all $t > 0$
科研通智能强力驱动
Strongly Powered by AbleSci AI