Random attractors for stochastic reaction-diffusion equations on unbounded domains
Random attractors for stochastic reaction-diffusion equations on unbounded domains
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DOI：
10.1016/j.jde.2008.05.017
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发表时间：
2009-01-15
影响因子：
2.4
通讯作者：
Wang, Bixiang
中科院分区：
文献类型：
--
作者：
Bates, Peter W.;Lu, Kening;Wang, Bixiang
在全n维空间中建立了一类随机反应扩散方程的拉回吸引子的存在性。非线性是耗散的状态和随机性质的方程出现在空间分布的时间白色噪声的大值，反应扩散方程被改写为一个随机动力系统和渐近紧性证明了使用统一的先验估计的远场值的解决方案。(C)2008年爱思唯尔公司All rights reserved.
The existence of a pullback attractor is established for a stochastic reaction-diffusion equation oil all n-dimensional space. The nonlinearity is dissipative for large values of the state and the stochastic nature of the equation appears as spatially distributed temporal white noise, The reaction-diffusion equation is recast as a random dynamical system and asymptotic compactness for this is demonstrated by using uniform a priori estimates for far-field values of solutions. (C) 2008 Elsevier Inc. All rights reserved.