带有乘积白噪音的非自治随机波方程的随机吸引子  

Random Attractors for Non-Autonomous Stochastic Wave Equation with Multiplicative Noise

作　　者：徐瑰瑰 王利波 林国广[2] XU Gui-gui;WANG Li-bo;LIN Guo-guang(School of Sciences,Kaili University,Kaili 556011,China;School of Mathematics and Statistics,Yunnan University,Kunming 650091,China)

机构地区：[1]凯里学院理学院,贵州凯里556011 [2]云南大学数学与统计学院,云南昆明650091

出　　处：《数学的实践与认识》2023年第12期197-210,共14页Mathematics in Practice and Theory

基　　金：凯里学院校级规划课题(2023XJGHYB10)。

摘　　要：研究了带有乘积白噪音的非自治随机波方程.首先证明解在一个有界球外的一致小性,然后对解在有界的区域内进行分解,得到解的渐近紧性,最后得到了带有乘积白噪音的非自治随机波方程的随机吸引子的存在性.In this paper,we deal with the initial boundary value problem for non-autonomous stochastic wave equation with multiplicative noise,First,we prove the uniform miniaturity of the solution outside a bounded sphere.Then,we get the the asymptotic compactness of the solution by decomposing the solution in a bounded domain,Finally,the existence of random attractor for non-autonomous stochastic wave equation with multiplicative noise is obtained.

关 键 词：随机动力系统 随机吸引子 吸收集 渐近紧性 

分 类 号：O211.6[理学—概率论与数理统计]