Large deviations for stochastic porous media equations

Abstract

In this paper, we establish the Freidlin-Wentzell type large deviation principles for porous medium-type equations perturbed by small multiplicative noise. The porous medium operator $\Delta (|u{|}^{m-1}u)$ is allowed. Our proof is based on weak convergence approach.

arXiv admin note: substantial text overlap with arXiv:1806.02955