摘要
本文首先引入高阶Schrodinger方程容许对的概念,进而给出了线性高阶Schrodinger方程解的空时估计,利用空时估计及非线性函数的估计,证明了高阶非线性Schrodinger方程整体强解的存在唯一性.
In this paper,we first introduce the concept of admissible pair and obtainspace-time estimates for linear Schrodinger equation of higher order.By use of space-timeestimates and nonlinear function estimates,we obtain the existence and uniqueness of globalstrong solution for Schodinger equation of higher order.
出处
《应用数学学报》
CSCD
北大核心
1996年第2期213-221,共9页
Acta Mathematicae Applicatae Sinica
关键词
空时估计
整体强解
薛定谔方程
存在性
Schrodinger equation,space-time estimate,global strong solution