Random attractors for a class of stochastic partial differential equations driven by general additive noise

64Citations
Citations of this article
15Readers
Mendeley users who have this article in their library.

Abstract

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.

Cite

CITATION STYLE

APA

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

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free