On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations

Rangrang Zhang

doi:10.1007/s11118-021-09975-4

On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations

Rangrang Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

Abstract

In this paper, we establish small time large deviation principles for the quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone.

Original language	English
Pages (from-to)	467-495
Number of pages	29
Journal	Potential Analysis
Volume	59
Issue number	2
DOIs	https://doi.org/10.1007/s11118-021-09975-4
Publication status	Published - Aug 2023

Keywords

Large deviations
Quasilinear stochastic partial differential equations
Small time asymptotics

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10.1007/s11118-021-09975-4

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title = "On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations",

abstract = "In this paper, we establish small time large deviation principles for the quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone.",

keywords = "Large deviations, Quasilinear stochastic partial differential equations, Small time asymptotics",

author = "Rangrang Zhang",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2023",

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doi = "10.1007/s11118-021-09975-4",

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KW - Large deviations

KW - Quasilinear stochastic partial differential equations

KW - Small time asymptotics

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On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations

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