Large Deviations for a Class of Semilinear Stochastic Partial Differential Equations

Mohammud Foondun, Leila Setayeshgar

Published 2016-07-02Version 1

We prove the large deviations principle (LDP) for the law of the solutions to a class of semilinear stochastic partial differential equations driven by multiplicative noise. Our proof is based on the weak convergence approach and significantly improves earlier methods.