Moderate deviations for a stochastic Burgers equation

TL;DR

This paper establishes a moderate deviations principle for the stochastic Burgers equation using the weak convergence approach and provides estimates relevant to a central limit theorem.

Contribution

It introduces a novel moderate deviations framework for the stochastic Burgers equation and derives useful estimates towards a central limit theorem.

Findings

Proved a moderate deviations principle for the stochastic Burgers equation.

Established estimates supporting a central limit theorem.

Applied the weak convergence approach successfully.

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.