Invariant measures for nonlinear SPDE's: uniqueness and stability

Invariant measures for nonlinear SPDE's: uniqueness and stability
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非线性 SPDE 的不变测度：唯一性和稳定性

DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
Jan Seidler
Jan Seidler
中科院分区：
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文献类型：
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作者：
B. Maslowski;Jan Seidler

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本文回顾了关于无限维状态空间中随机微分方程不变测度唯一性的一些最新结果，特别关注随机偏微分方程。还回顾了解的渐近行为的相关结果，如遍历定理和强弱拓扑中解的概率定律的收敛性。 AMS 主题分类。 60H15
The paper presents a review of some recent results on uniqueness of invariant measures for stochastic differential equations in infinitedimensional state spaces, with particular attention paid to stochastic partial differential equations. Related results on asymptotic behaviour of solutions like ergodic theorems and convergence of probability laws of solutions in strong and weak topologies are also reviewed. AMS Subject Classification. 60H15