[Grandes déviations pour les mesures invariantes de systèmes généraux d'équations de réaction–diffusion stochastiques]
Dans cet article on prouve un principe de grandes déviations pour les mesures invariantes de systèmes de réaction–diffusion stochastiques dans des domaines bornés de , perturbés par un bruit multiplicatif. On considère des termes de réaction qui ne sont pas Lipschitz-continus et des coefficients de diffusion qui ne sont pas bornés et peuvent être dégénérés.
In this paper we prove a large deviations principle for the invariant measures of a class of reaction–diffusion systems in bounded domains of , perturbed by a noise of multiplicative type. We consider reaction terms which are not Lipschitz-continuous and diffusion coefficients in front of the noise which are not bounded and may be degenerate.
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@article{CRMATH_2003__337_9_597_0,
author = {Cerrai, Sandra and R\"ockner, Michael},
title = {Large deviations for invariant measures of general stochastic reaction{\textendash}diffusion systems},
journal = {Comptes Rendus. Math\'ematique},
pages = {597--602},
publisher = {Elsevier},
volume = {337},
number = {9},
year = {2003},
doi = {10.1016/j.crma.2003.09.015},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2003.09.015/}
}
TY - JOUR AU - Cerrai, Sandra AU - Röckner, Michael TI - Large deviations for invariant measures of general stochastic reaction–diffusion systems JO - Comptes Rendus. Mathématique PY - 2003 SP - 597 EP - 602 VL - 337 IS - 9 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2003.09.015/ DO - 10.1016/j.crma.2003.09.015 LA - en ID - CRMATH_2003__337_9_597_0 ER -
%0 Journal Article %A Cerrai, Sandra %A Röckner, Michael %T Large deviations for invariant measures of general stochastic reaction–diffusion systems %J Comptes Rendus. Mathématique %D 2003 %P 597-602 %V 337 %N 9 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2003.09.015/ %R 10.1016/j.crma.2003.09.015 %G en %F CRMATH_2003__337_9_597_0
Cerrai, Sandra; Röckner, Michael. Large deviations for invariant measures of general stochastic reaction–diffusion systems. Comptes Rendus. Mathématique, Tome 337 (2003) no. 9, pp. 597-602. doi : 10.1016/j.crma.2003.09.015. http://archive.numdam.org/articles/10.1016/j.crma.2003.09.015/
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