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

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

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	5221-5237
Number of pages	17
Journal	Discrete and Continuous Dynamical Systems
Volume	35
Issue number	11
DOIs	https://doi.org/10.3934/dcds.2015.35.5221
Publication status	Published - 1 Nov 2015
Externally published	Yes

Keywords

Large deviation principle
Stochastic heat equation with memory
Weak convergence method

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10.3934/dcds.2015.35.5221

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Li, Y., Xie, Y., & Zhang, X. (2015). Large deviation principle for stochastic heat equation with memory. Discrete and Continuous Dynamical Systems, 35(11), 5221-5237. https://doi.org/10.3934/dcds.2015.35.5221

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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",

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year = "2015",

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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

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KW - Weak convergence method

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DO - 10.3934/dcds.2015.35.5221

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

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Large deviation principle for stochastic heat equation with memory

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