时滞Schrodinger格点系统的随机吸引子及其上半连续性  

Random Attractor and Upper Semicontinuity for Retarded Schrodinger Lattice System

作　　者：周盛凡 江旭莹 Sheng Fan ZHOU;Xu Ying JIANG(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,P.R.China;Hangzhou Ding Xin Primary School,Hangzhou 310016,P.R.China)

机构地区：[1]浙江师范大学数学与计算机科学学院,金华321004 [2]杭州市丁信小学,杭州310016

出　　处：《数学学报（中文版）》2022年第4期733-750,共18页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11871437,11971356)。

摘　　要：首先给出定义于有限闭区间到无穷序列空间的连续函数构成的空间上的局部耦合随机时滞格点动力系统的解确定的连续余圈的随机吸引子的存在性条件.然后考虑具可乘白噪声非自治时滞Schrodinger格点系统的随机吸引子的存在性和关于时滞趋于零时的上半连续性.We first present the conditions for the existence of a random attractor of continuous cocycle defined by the solutions of locally coupled stochastic retarded lattice dynamical systems in a space of continuous functions from finite closed interval into the space of infinite sequences.Then we consider the existence and upper semicontinuity of the random attractor for the nonautonomous retarded Schrodinger lattice system with multiplicative white noise.

关 键 词：连续余圈 时滞Schrodinger格点系统 随机吸引子 可乘白噪声 上半连续性 

分 类 号：O193[理学—数学]