Existences and upper semi-continuity of pullback attractors in H^1(R^N) for non-autonomous reaction-diffusion equations perturbed by multiplicative noise

• Published in: Electronic journal of differential equations Vol. 2016; no. 294; pp. 1 - 28
• Main Author: Wenqiang Zhao
• Format: Journal Article
• Language: English
• Published: Texas State University 16.11.2016
• Subjects: non-autonomous reaction-diffusion equation; pullback attractor; Random dynamical systems; upper semi-continuity

In this article, we establish sufficient conditions on the existence and upper semi-continuity of pullback attractors in some non-initial spaces for non-autonomous random dynamical systems. As an application, we prove the existence and upper semi-continuity of pullback attractors in $H^1(\mathbb{R}^...