Open Access
November 2018 Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise
Jie Xiong, Jianliang Zhai
Bernoulli 24(4A): 2842-2874 (November 2018). DOI: 10.3150/17-BEJ947

Abstract

We establish a large deviation principle for a type of stochastic partial differential equations (SPDEs) with locally monotone coefficients driven by Lévy noise. The weak convergence method plays an important role.

Citation

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Jie Xiong. Jianliang Zhai. "Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise." Bernoulli 24 (4A) 2842 - 2874, November 2018. https://doi.org/10.3150/17-BEJ947

Information

Received: 1 August 2016; Revised: 1 February 2017; Published: November 2018
First available in Project Euclid: 26 March 2018

zbMATH: 06853267
MathSciNet: MR3779704
Digital Object Identifier: 10.3150/17-BEJ947

Keywords: Freidlin–Wentzell type large deviation principle , Levy processes , locally monotone coefficients , Stochastic partial differential equations

Rights: Copyright © 2018 Bernoulli Society for Mathematical Statistics and Probability

Vol.24 • No. 4A • November 2018
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