{"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":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.8000,"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\":49213,\"journal\":{\"name\":\"Electronic Journal of Differential Equations\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Journal of Differential Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.2023.49\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.2023.49","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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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All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.
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