Stochastic Burgers equations with fractional derivative driven by fractional noise

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-07-17 DOI:10.58997/ejde.2023.49

Yubo Duan, Yiming Jiang, Yang Tian, Yawei Wei

引用次数: 0

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 \(T_{*}\).

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分数噪声驱动的分数阶导数随机Burgers方程

通过分数噪声。一个不动点论证给出了一个温和解的存在唯一性。然后，我们在一些停止时间（T_。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： 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.