论文标题
弱的回调平均随机吸引子用于随机演变方程和应用
Weak Pullback Mean Random Attractors for Stochastic Evolution Equations and Applications
论文作者
论文摘要
在本文中，我们研究了弱撤回的随机吸引子的存在和独特性，用于抽象随机演化方程，并在Bochner空间中具有一般扩散项。作为应用，建立了一些随机模型（例如随机反应扩散方程，随机$ p $ laplace方程和随机多孔介质方程）的弱撤回均值随机吸引子的存在和唯一性。
In this paper, we investigate the existence and uniqueness of weak pullback mean random attractors for abstract stochastic evolution equations with general diffusion terms in Bochner spaces. As applications, the existence and uniqueness of weak pullback mean random attractors for some stochastic models such as stochastic reaction-diffusion equations, the stochastic $p$-Laplace equation and stochastic porous media equations are established.
