摘要
本文考虑一类多维非线性 Schrdinger 型方程组的 Cauchy 问题。得到了不限制空间维数时,在初值■。(x)∈L^2(R^n)或■。(x)∈H^1(R^n)的较弱的条件下,所述Cauchy 问题整体解的存在唯一性和能量守恒式成立。
In this paper,we consider the Canchy problem for a class of system of multidimensional
nonlincar Schrodinger equations.We study the existen and uniqueness of the global solution
for the problem ,when (?)∈L^2(R^n)or(?)∈eH^1(R^n)and dimension of the space is arbitrary.
出处
《河南科学》
1991年第4期1-7,共7页
Henan Science
关键词
薛氏方程
非线性
整体解
Nonlinear Schrodinger equation
global solution
dimension of the space is arbitrary
