拟线性抛物型随机偏微分方程的指数行为与稳定性

IF 2 2区数学 Q1 MATHEMATICS

Analysis and Applications Pub Date : 2021-08-23 DOI:10.1142/s0219530521500172

Xiuwei Yin, Guangjun Shen, Jiang-Lun Wu

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引用次数: 1

摘要

本文研究了一类既非单调又非局部单调的拟线性抛物型随机偏微分方程的稳定性。建立了解的指数均方稳定性和路径指数稳定性。此外，在随机扰动的一定假设下，可以导出路径指数稳定性，而不需要使用均方稳定性。

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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The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation

In this paper, we study the stability of quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The exponential mean square stability and pathwise exponential stability of the solutions are established. Moreover, under certain hypothesis on the stochastic perturbations, pathwise exponential stability can be derived, without utilizing the mean square stability.

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来源期刊

Analysis and Applications 数学-数学

CiteScore

3.90

自引率

4.50%

发文量

审稿时长

>12 weeks

期刊介绍： Analysis and Applications publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.