{"title":"Exponential ergodicity for reflected SDEs with interaction in a multidimensional general domain","authors":"Ping Chen , Tusheng Zhang","doi":"10.1016/j.spl.2024.110168","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we consider reflected stochastic differential equations (SDEs) with interaction in a multidimensional general domain. The well-posedness is established under a monotone condition, and the exponential ergodicity is derived in the Wasserstein distance.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167715224001378","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider reflected stochastic differential equations (SDEs) with interaction in a multidimensional general domain. The well-posedness is established under a monotone condition, and the exponential ergodicity is derived in the Wasserstein distance.