Large Deviations for Stochastic equations in Hilbert Spaces with non-Lipschitz drift
arXiv:2004.11656 · doi:10.1016/j.spa.2022.07.004
Abstract
We prove a Freidlin-Wentzell result for stochastic differential equations in infinite-dimensional Hilbert spaces perturbed by a cylindrical Wiener process. We do not assume the drift to be Lipschitz continuous, but only continuous with at most linear growth. Our result applies, in particular, to a large class of nonlinear fractional diffusion equations perturbed by a space-time white noise.
19 pages