The existence of random attractors for a large class of stochastic partial differential equations (SPDE) driven by general additive noise is established. The main results are applied to various types of SPDE, as e.g. stochastic reaction-diffusion equations, the stochastic p-Laplace equation and stochastic porous media equations. Besides classical Brownian motion, we also include space-time fractional Brownian motion and space-time Lévy noise as admissible random perturbations. Moreover, cases where the attractor consists of a single point are also investigated and bounds for the speed of attraction are obtained. © 2011 Elsevier Inc.
Gess, B., Liu, W., & Röckner, M. (2011). Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations, 251(4–5), 1225–1253. https://doi.org/10.1016/j.jde.2011.02.013