Geodesic
Invariant measures for nonlinear SPDE's: uniqueness and stability
Archivum mathematicum, Tome 34 (1998) no. 1, pp. 153-172.

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The paper presents a review of some recent results on uniqueness of invariant measures for stochastic differential equations in infinite-dimensional 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.
Classification : 35R60, 47D07, 60H15
Keywords: Stochastic evolution equations; invariant measures; ergodic theorems; stability 
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     author = {Maslowski, Bohdan and Seidler, Jan},
     title = {Invariant measures for nonlinear {SPDE's:} uniqueness and stability},
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     zbl = {0914.60028},
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     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a14/}
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Maslowski, Bohdan; Seidler, Jan. Invariant measures for nonlinear SPDE's: uniqueness and stability. Archivum mathematicum, Tome 34 (1998) no. 1, pp. 153-172. http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a14/