摘要
本文研究定解问题:iu_t-△u=f(|u|~2)u、(x,t)∈ΩX(0,∞)、u(x,0)=φ(x)、u(x,t)|■=0的解在有限时间内的破碎性。文中设■Ω为空间球面。
This paper We consider the IBVP for i u_1=Au+f(|u|~2)u with u(x, o)=φ(x)、u(x, t)|Ω=0, where■Ω is boundary of Ω, and is a sphere, If φ、f are given so that the system with non positive energy and other Conditions. We shall shown the solution of this problem. Blow up in finite time. Foulther we shown that L^q- norm of the solution Blow up,
出处
《苏州大学学报（自然科学版）》
CAS
1990年第4期429-435,共7页
Journal of Soochow University(Natural Science Edition)
关键词
非线性
薛定锷方程
球域
破碎
: nonlincar Schrodingcr equation, Balloon domain, finite timc, Blow up.
