Geodesic
Asymptotic behaviour of stochastic quasi dissipative systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 587-602

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We prove uniqueness of the invariant measure and the exponential convergence to equilibrium for a stochastic dissipative system whose drift is perturbed by a bounded function.

DOI : 10.1051/cocv:2002038
Classification : 47D07, 35K90
Keywords: stochastic systems, reaction-diffusion equations, invariant measures 
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     author = {Prato, Giuseppe Da},
     title = {Asymptotic behaviour of stochastic quasi dissipative systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {587--602},
     publisher = {EDP-Sciences},
     volume = {8},
     year = {2002},
     doi = {10.1051/cocv:2002038},
     mrnumber = {1932964},
     zbl = {1064.47047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002038/}
}
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Prato, Giuseppe Da. Asymptotic behaviour of stochastic quasi dissipative systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 587-602. doi: 10.1051/cocv:2002038

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