Stochastic heat equation with Burgers term driven by fractional noises with two reflecting walls

被引：1

作者：

Wang, Suxin ^{[1
]}

Zhang, Yinglu ^{[1
]}

Jiang, Yiming ^{[2
,3
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 523卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stochastic heat equation with Burgers term; Two reflecting walls; Fractional noises; H?lder continuity; Large deviation principle; LARGE DEVIATIONS; PARABOLIC SPDES; EXISTENCE;

D O I：

10.1016/j.jmaa.2022.126958

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study stochastic heat equation with Burgers term with two reflecting walls h1 and h2, driven by space-time fractional noises. We will first show the existence and uniqueness of the solution by Picard iteration scheme, then we will consider the penalized approximating equations with respect to the reflecting terms to obtain the Holder continuity of this solution. Furthermore, the large deviation principle for the law of the solution to this equation with a small perturbation will be established through a classical method.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：37

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