Existence and Upper Semicontinuity of Attractors for Stochastic Equations with Deterministic Non-autonomous Terms
Analysis of PDEs
2012-05-22 v1 Dynamical Systems
Abstract
We prove the existence and uniqueness of tempered random attractors for stochastic Reaction-Diffusion equations on unbounded domains with multiplicative noise and deterministic non-autonomous forcing. We establish the periodicity of the tempered attractors when the stochastic equations are forced by periodic functions. We further prove the upper semicontinuity of these attractors when the intensity of stochastic perturbations approaches zero.
Keywords
Cite
@article{arxiv.1205.4658,
title = {Existence and Upper Semicontinuity of Attractors for Stochastic Equations with Deterministic Non-autonomous Terms},
author = {Bixiang Wang},
journal= {arXiv preprint arXiv:1205.4658},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1202.2391