摘要
本文研究非线性Schrdinger型方程组的初边值问题: {在Ω×[0,∞)中, 在Ω×[0,∞)中, u(x,t)=0,在Γ×[0,∞)中, v(x,t)=0,在Γ×[0,∞)中, u(x,0)=u_0(x),v(x,0)=v_0,x∈Ω当Ω R^2时,用类似于[1]的方法得到一个全局解的存在唯一性定理.
In this paper we study the following initial boundary-value problem of nonlinear Schro dinger systems:for ΩR^2, by making use of the method analogous to that in [1], we obtain an existence and uniqueness theorem about a global solution
出处
《南京大学学报（自然科学版）》
CAS
CSCD
1989年第3期9-16,共8页
Journal of Nanjing University（Natural Science）
关键词
非线性
薛丁锷方程组
全局解
nonlinear Schrodinger systems
global solution
initial boundary-value problem
interpolation inequality
