The upper semi-continuity of random attractors to the stochastic evolution equations driven by rough path with Hurst index H∈(13,12]

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-19 DOI:10.1016/j.jde.2025.113552

Qiyong Cao, Hongjun Gao

引用次数: 0

Abstract

In this paper, we consider the upper semi-continuity of the random attractors for a class of evolution equations driven by smooth stationary fractional noise with Hurst index

H \in (\frac{1}{3}, \frac{1}{2}]

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Hurst指数H∈(13,12)的粗糙路径驱动随机进化方程的随机吸引子的上半连续性

本文考虑一类光滑平稳分数阶噪声驱动的演化方程随机吸引子的上半连续性，其Hurst指数H∈(13,12)。

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

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics