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.
Keywords: stochastic systems, reaction-diffusion equations, invariant measures
@article{COCV_2002__8__587_0,
author = {Prato, Giuseppe Da},
title = {Asymptotic behaviour of stochastic quasi dissipative systems},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {587--602},
year = {2002},
publisher = {EDP Sciences},
volume = {8},
doi = {10.1051/cocv:2002038},
mrnumber = {1932964},
zbl = {1064.47047},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv:2002038/}
}
TY - JOUR AU - Prato, Giuseppe Da TI - Asymptotic behaviour of stochastic quasi dissipative systems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2002 SP - 587 EP - 602 VL - 8 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv:2002038/ DO - 10.1051/cocv:2002038 LA - en ID - COCV_2002__8__587_0 ER -
%0 Journal Article %A Prato, Giuseppe Da %T Asymptotic behaviour of stochastic quasi dissipative systems %J ESAIM: Control, Optimisation and Calculus of Variations %D 2002 %P 587-602 %V 8 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/cocv:2002038/ %R 10.1051/cocv:2002038 %G en %F COCV_2002__8__587_0
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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