Moderate deviations for stochastic Cahn-Hilliard equations with a random dynamical boundary driven by Poisson random measures

被引：0

作者：

Wang, Ying ^{[1
,2
]}

Chen, Guanggan ^{[1
,2
,4
,5
]}

Wang, Pin ^{[3
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu, Peoples R China

[2] Sichuan Normal Univ, VC & VR Key Lab Sichuan Prov, Chengdu, Peoples R China

[3] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing, Peoples R China

[4] Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Peoples R China

[5] Sichuan Normal Univ, VC & VR Key Lab Sichuan Prov, Chengdu 610068, Peoples R China

来源：

STOCHASTIC MODELS | 2024年 / 40卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Moderate deviation principle; Poisson random measure; random dynamical boundary condition; stochastic Cahn-Hilliard equation; weak convergence approach; PARTIAL-DIFFERENTIAL-EQUATIONS; WAVE-EQUATION; PRINCIPLES; POTENTIALS; EXISTENCE;

D O I：

10.1080/15326349.2023.2250432

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This work concerns a stochastic Cahn-Hilliard equation with a random dynamical boundary condition driven by Poisson random measures. Due to the disturbance of pure jump Levy noise both in the domain and on its boundary, we drive the tightness of deviation processes by employing the stochastic control argument and the splitting method. With the help of the weak convergence approach, we establish the moderate deviations of this system, which bridge the gap between the central limit approximation and large deviations.

引用

页码：340 / 374

页数：35

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