Ergodicity for a class of semilinear stochastic partial differential equations

Zhao Dong; Rangrang Zhang

doi:10.1002/mma.5938

Ergodicity for a class of semilinear stochastic partial differential equations

Zhao Dong
, Rangrang Zhang^*

^*此作品的通讯作者

数学学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise.

源语言	英语
页（从-至）	2117-2136
页数	20
期刊	Mathematical Methods in the Applied Sciences
卷	43
期	5
DOI	https://doi.org/10.1002/mma.5938
出版状态	已出版 - 30 3月 2020

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title = "Ergodicity for a class of semilinear stochastic partial differential equations",

abstract = "In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise.",

keywords = "invariant measures, irreducibility, semilinear partial differential equations, space-time white noise, strong Feller property",

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T1 - Ergodicity for a class of semilinear stochastic partial differential equations

AU - Dong, Zhao

AU - Zhang, Rangrang

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Y1 - 2020/3/30

N2 - In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise.

AB - In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise.

KW - invariant measures

KW - irreducibility

KW - semilinear partial differential equations

KW - space-time white noise

KW - strong Feller property

UR - https://www.scopus.com/pages/publications/85076896352

U2 - 10.1002/mma.5938

DO - 10.1002/mma.5938

M3 - Article

AN - SCOPUS:85076896352

SN - 0170-4214

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EP - 2136

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 5

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Ergodicity for a class of semilinear stochastic partial differential equations

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