{"title":"分数噪声驱动的分数阶导数随机Burgers方程","authors":"Yubo Duan, Yiming Jiang, Yang Tian, Yawei Wei","doi":"10.58997/ejde.2023.49","DOIUrl":null,"url":null,"abstract":"by fractional noise. Existence and uniqueness of a mild solution is given bya fixed point argument. Then, we explore Holder regularity of the mildsolution in \\(C([0,T_{*}];L^p(\\Omega;\\dot{H}^{\\gamma}))\\) for some stoppingtime \\(T_{*}\\).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stochastic Burgers equations with fractional derivative driven by fractional noise\",\"authors\":\"Yubo Duan, Yiming Jiang, Yang Tian, Yawei Wei\",\"doi\":\"10.58997/ejde.2023.49\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"by fractional noise. Existence and uniqueness of a mild solution is given bya fixed point argument. Then, we explore Holder regularity of the mildsolution in \\\\(C([0,T_{*}];L^p(\\\\Omega;\\\\dot{H}^{\\\\gamma}))\\\\) for some stoppingtime \\\\(T_{*}\\\\).\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.2023.49\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.2023.49","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stochastic Burgers equations with fractional derivative driven by fractional noise
by fractional noise. Existence and uniqueness of a mild solution is given bya fixed point argument. Then, we explore Holder regularity of the mildsolution in \(C([0,T_{*}];L^p(\Omega;\dot{H}^{\gamma}))\) for some stoppingtime \(T_{*}\).
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