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^*

^*Corresponding author for this work

School of Mathematics and Statistics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	2117-2136
Number of pages	20
Journal	Mathematical Methods in the Applied Sciences
Volume	43
Issue number	5
DOIs	https://doi.org/10.1002/mma.5938
Publication status	Published - 30 Mar 2020

Keywords

invariant measures
irreducibility
semilinear partial differential equations
space-time white noise
strong Feller property

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10.1002/mma.5938

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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",

author = "Zhao Dong and Rangrang Zhang",

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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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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

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 5

ER -

Ergodicity for a class of semilinear stochastic partial differential equations

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Keywords

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