Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

Zhao Dong; Rangrang Zhang; Tusheng Zhang

doi:10.1007/s11118-019-09763-1

Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

Zhao Dong^*, Rangrang Zhang, Tusheng Zhang

^*Corresponding author for this work

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

Abstract

In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.

Original language	English
Journal	Potential Analysis
Early online date	2 Feb 2019
DOIs	https://doi.org/10.1007/s11118-019-09763-1
Publication status	Published - 2019

Keywords

Freidlin-Wentzell’s large deviations
Quailinear stochastic partial differential equations
Weak convergence approach

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10.1007/s11118-019-09763-1

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title = "Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations",

abstract = "In this paper, we establish the Freidlin-Wentzell{\textquoteright}s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.",

keywords = "Freidlin-Wentzell{\textquoteright}s large deviations, Quailinear stochastic partial differential equations, Weak convergence approach",

author = "Zhao Dong and Rangrang Zhang and Tusheng Zhang",

year = "2019",

doi = "10.1007/s11118-019-09763-1",

language = "English",

journal = "Potential Analysis",

issn = "0926-2601",

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AU - Dong, Zhao

AU - Zhang, Rangrang

AU - Zhang, Tusheng

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N2 - In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.

AB - In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.

KW - Freidlin-Wentzell’s large deviations

KW - Quailinear stochastic partial differential equations

KW - Weak convergence approach

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U2 - 10.1007/s11118-019-09763-1

DO - 10.1007/s11118-019-09763-1

M3 - Article

AN - SCOPUS:85061064096

SN - 0926-2601

JO - Potential Analysis

JF - Potential Analysis

ER -

Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

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