Pullback attractors for reaction-diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms
Pullback attractors for reaction-diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms
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DOI：
10.1063/1.4817862
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发表时间：
2013-08
影响因子：
1.3
通讯作者：
Jingyu Wang;Yejuan Wang
中科院分区：
文献类型：
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作者：
Jingyu Wang;Yejuan Wang
研究了一类具有非自治确定性强迫项和随机强迫项的反应扩散时滞方程所对应的非自治非紧动力系统在高正则性空间中拉回吸引子的存在性.利用解的远场值的一致估计和一种新的方法证明了解的渐近紧性。
The existence of a pullback attractor in a space of higher regularity is established for the non-autonomous non-compact dynamical system associated with the reaction-diffusion delay equation with both non-autonomous deterministic and stochastic forcing terms defined on all n-dimensional space. The asymptotical compactness of the solutions is demonstrated by using the uniform estimates for far-field values of solutions and a new method.