无界域上具有乘积噪声的强阻尼非自治随机波动方程的吸引子存在性  

The Random Attractors for Non-Autonomous Stochastic Wave Equations with Multiplicative Noise and Strongly Damped Terms on Unbounded Domains

作　　者：李博文 李晓军[1] LI Bowen;LI Xiaojun(School of Science,Hohai University,Nanjing Jiangsu 210098,China)

机构地区：[1]河海大学理学院,江苏南京210098

出　　处：《江西师范大学学报（自然科学版）》2021年第5期520-529,共10页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11571092)资助项目。

摘　　要：该文研究无界域上带有强阻尼和乘积噪声的非自治随机波动方程吸引子,利用变换系统的方法对解进行一致估计,并通过解的分解及估计得到所对应系统是拉回渐近紧的,最终可得出原系统存在随机吸引子.The attractor for non-autonomous strongly damped stochastic wave equation with multiplicative noise on unbounded domains is studied.By using the uniform estimates and decomposition technique of the solutions for transformed system,the pullback asymptotic compactness of the corresponding system is obtained,finally getting the existence of random attractor for original system.

关 键 词：波动方程 随机吸引子 渐近紧性 强阻尼 无界区域 

分 类 号：O177.91[理学—数学] O211.63[理学—基础数学]