In this paper we prove a large deviations principle for the invariant measures of a class of reaction-diffusion systems in bounded domains of ℝd, d ≥ 1, 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.
Large deviations for invariant measures of general stochastic reaction-diffusion systems / S. CERRAI; M. ROECKNER. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - STAMPA. - 337:(2003), pp. 597-602. [10.1016/j.crma.2003.09.015]
Large deviations for invariant measures of general stochastic reaction-diffusion systems
CERRAI, SANDRA;
2003
Abstract
In this paper we prove a large deviations principle for the invariant measures of a class of reaction-diffusion systems in bounded domains of ℝd, d ≥ 1, 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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