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Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and
 

Summary: Large deviations for invariant measures of stochastic
reaction-diffusion systems with multiplicative noise and
non-Lipschitz reaction term
Sandra Cerrai
Dip. di Matematica per le Decisioni
Universit`a di Firenze
Via C. Lombroso 6/17
I-50134 Firenze, Italy
sandra.cerrai@dmd.unifi.it
Michael R¨ockner
Fakult¨at f¨ur Mathematik
Universit¨at Bielefeld
D-33501 Bielefeld, Germany
roeckner@mathematik.uni-bielefeld.de
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 R d
, 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

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics