Large deviation principle for stochastic heat equation with memory

Yueling Li; Yingchao Xie; Xicheng Zhang

doi:10.3934/dcds.2015.35.5221

Large deviation principle for stochastic heat equation with memory

Yueling Li
, Yingchao Xie
, Xicheng Zhang

Jiangsu Normal University
Wuhan University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this work, using the weak convergence argument, we prove a Freidlin-Wentzell's large deviation principle for a class of stochastic heat equations with memory and Dirichlet boundary conditions, where the nonlinear term is allowed to be of polynomial growth.

源语言	英语
页（从-至）	5221-5237
页数	17
期刊	Discrete and Continuous Dynamical Systems
卷	35
期	11
DOI	https://doi.org/10.3934/dcds.2015.35.5221
出版状态	已出版 - 1 11月 2015
已对外发布	是

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@article{92b4dda43bec45938ab84a8200958abe,

title = "Large deviation principle for stochastic heat equation with memory",

abstract = "In this work, using the weak convergence argument, we prove a Freidlin-Wentzell's large deviation principle for a class of stochastic heat equations with memory and Dirichlet boundary conditions, where the nonlinear term is allowed to be of polynomial growth.",

keywords = "Large deviation principle, Stochastic heat equation with memory, Weak convergence method",

author = "Yueling Li and Yingchao Xie and Xicheng Zhang",

note = "Publisher Copyright: Copyright {\textcopyright} 2015 DCDS.",

year = "2015",

month = nov,

day = "1",

doi = "10.3934/dcds.2015.35.5221",

language = "English",

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T1 - Large deviation principle for stochastic heat equation with memory

AU - Li, Yueling

AU - Xie, Yingchao

AU - Zhang, Xicheng

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N2 - In this work, using the weak convergence argument, we prove a Freidlin-Wentzell's large deviation principle for a class of stochastic heat equations with memory and Dirichlet boundary conditions, where the nonlinear term is allowed to be of polynomial growth.

AB - In this work, using the weak convergence argument, we prove a Freidlin-Wentzell's large deviation principle for a class of stochastic heat equations with memory and Dirichlet boundary conditions, where the nonlinear term is allowed to be of polynomial growth.

KW - Large deviation principle

KW - Stochastic heat equation with memory

KW - Weak convergence method

UR - https://www.scopus.com/pages/publications/84929012158

U2 - 10.3934/dcds.2015.35.5221

DO - 10.3934/dcds.2015.35.5221

M3 - Article

AN - SCOPUS:84929012158

SN - 1078-0947

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SP - 5221

EP - 5237

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 11

ER -

Large deviation principle for stochastic heat equation with memory

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