Random attractors for wave equations on unbounded domains
Random attractors for wave equations on unbounded domains
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DOI：
10.3934/proc.2009.2009.800
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发表时间：
2009-09
期刊：
影响因子：
--
通讯作者：
Bixiang Wang;Xiaoling Gao
中科院分区：
文献类型：
--
作者：
Bixiang Wang;Xiaoling Gao
研究了$\mathbb{R}^n$上随机波动方程的渐近性态。证明了$H^1（\mathbb{R}^n）\times L^2（\mathbb {R}^n）$中相应的随机动力系统的随机吸引子的存在性，其中非线性项对$n \le 2$具有任意增长阶，对$n=3$是次临界的.
The asymptotic behavior of stochastic wave equations on $\mathbb{R}^n$ is studied. The existence of a random attractor for the corresponding random dynamical system in $H^1(\mathbb{R}^n) \times L^2(\mathbb{R}^n)$ is established, where the nonlinearity has an arbitrary growth order for $n \le 2$ and is subcritical for $n=3$.