Yubo Duan, Yiming Jiang, Yang Tian, Yawei Wei
Abstract:
In this article, we study fractional stochastic Burgers equations perturbed
by fractional noise. Existence and uniqueness of a mild solution is given by
a fixed point argument. Then, we explore Holder regularity of the mild
solution in \(C([0,T_{*}];L^p(\Omega;\dot{H}^{\gamma}))\) for some stopping
time \(T_{*}\).
Submitted May 25, 2023. Published July 17, 2023.
Math Subject Classifications: 60H15, 35R60, 35K05.
Key Words: Stochastic Burgers equation; Caputo derivative; fractional noise; Mittag-Leffler operator; mild solution.
DOI: https://doi.org/10.58997/ejde.2023.49
Show me the PDF file (392 KB), TEX file for this article.
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Yubo Duan School of Mathematical Sciences Nankai University Tianjin 300071, China email: 1120190017@mail.nankai.edu.cn |
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Yiming Jiang School of Mathematical Sciences and LPMC Nankai University Tianjin 300071, China email: ymjiangnk@nankai.edu.cn |
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Yang Tian School of Mathematical Sciences Nankai University Tianjin 300071, China email: 2120180052@mail.nankai.edu.cn |
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Yawei Wei School of Mathematical Sciences and LPMC Nankai University Tianjin 300071, China email: weiyawei@nankai.edu.cn |
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