Local zero-stability of rough evolution equations

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-05-10 DOI:10.1142/s0219493722400159

R. Hesse

引用次数: 1

Abstract

We analyze the long time behavior of solutions to rough parabolic equations. More precisely, we show local exponential stability for the mild solution driven by a fractional Brownian motion with Hurst parameter [Formula: see text].

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粗糙演化方程的局部零稳定性

我们分析了粗糙抛物型方程解的长时间行为。更准确地说，我们展示了由具有赫斯特参数的分数布朗运动驱动的温和解的局部指数稳定性[公式：见正文]。

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

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.