{"title":"Square-mean inertial manifolds for stochastic differential equations","authors":"Thi Oanh Le","doi":"10.1515/rose-2022-2078","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we prove the existence of a square-mean inertial manifold for a class of semilinear stochastic differential equations in a real separable Hilbert space. An example is given to illustrate our results.","PeriodicalId":43421,"journal":{"name":"Random Operators and Stochastic Equations","volume":"30 1","pages":"149 - 159"},"PeriodicalIF":0.3000,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Operators and Stochastic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/rose-2022-2078","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract In this paper, we prove the existence of a square-mean inertial manifold for a class of semilinear stochastic differential equations in a real separable Hilbert space. An example is given to illustrate our results.