Large deviations for invariant measures of SPDEs with two reflecting walls

TL;DR

This paper establishes a large deviation principle for the invariant measures of solutions to stochastic partial differential equations constrained by two reflecting walls and driven by space-time white noise.

Contribution

It introduces a large deviation framework for invariant measures of SPDEs with reflecting boundaries, a novel analysis in this context.

Findings

Large deviation principle proved for invariant measures

Applicable to SPDEs with two reflecting walls

Enhanced understanding of stochastic boundary effects

Abstract

In this article, we established a large deviation principle for invariant measures of solutions of stochastic partial differential equations with two reflecting walls driven by space-time white noise.