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Modern Stochastics: Theory and Applications*

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Moderate deviations for a stochastic Burgers equation
Volume 6, Issue 2 (2019), pp. 167–193
Rachid Belfadli   Lahcen Boulanba   Mohamed Mellouk  

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https://doi.org/10.15559/19-MSTA134
Pub. online: 16 May 2019      Type: Research Article      Open accessOpen Access

Received
29 October 2018
Revised
29 March 2019
Accepted
17 April 2019
Published
16 May 2019

Abstract

A moderate deviations principle for the law of a stochastic Burgers equation is proved via the weak convergence approach. In addition, some useful estimates toward a central limit theorem are established.

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Keywords
Stochastic Burgers equation space-time white noise stochastic partial differential equations moderate deviations principle weak convergence method

MSC2010
60F10 60F05 60H15

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