Averaging principle for fractional heat equations driven by stochastic measures

被引：15

作者：

Shen, Guangjun ^{[1
]}

Wu, Jiang-Lun ^{[2
]}

Yin, Xiuwei ^{[1
]}

机构：

[1] Anhui Normal Univ, Dept Stat, Wuhu 241000, Peoples R China

[2] Swansea Univ, Dept Math, Swansea SA1 8EN, SA, Wales

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 106卷

关键词：

Averaging principle; Fractional heat equation; Stochastic measure; Besov space;

D O I：

10.1016/j.aml.2020.106404

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by utilising Besov space techniques, we establish the time averaging principle for a heat equation with fractional Laplace driven by a general stochastic measure mu which is assumed (only) to satisfy the sigma-additivity in probability. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：9

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