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

School of Mathematics and Statistics

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

4 Citations (Scopus)

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
Pages (from-to)	183-202
Number of pages	20
Journal	Potential Analysis
Volume	53
Issue number	1
DOIs	https://doi.org/10.1007/s11118-019-09763-1
Publication status	Published - 1 Jun 2020

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",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature B.V.",

year = "2020",

month = jun,

day = "1",

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

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T1 - Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

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

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JO - Potential Analysis

JF - Potential Analysis

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ER -

Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

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Keywords

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