Large deviations for invariant measure of stochastic Allen-Cahn equation with inhomogeneous boundary conditions and multiplicative noise

Rui Bai, Chunrong Feng, Huaizhong Zhao

We establish a small-noise large deviation principle for the family of invariant measures $\{{\mu }_{\epsilon }{\}}_{\epsilon >0}$ associated with the one-dimensional stochastic Allen-Cahn equation, subjec…