Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
 

Summary: Large deviations for 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
cerrai@cce.unifi.it
Michael R¨ockner
Fakult¨at f¨ur Mathematik
Universit¨at Bielefeld
D-33501 Bielefeld, Germany
roeckner@mathematik.uni-bielefeld.de
Abstract
Following classical work by M. I. Freidlin and subsequent works by R. Sowers
and S. Peszat, we prove large deviation estimates for the small noise limit of systems
of stochastic reaction-diffusion equations with globally Lipschitz but unbounded dif-
fusion coefficients, however, assuming the reaction terms to be only locally Lipschitz
with polynomial growth. This generalizes results of the above mentioned authors.
Our results apply, in particular, to systems of stochastic Ginzburg-Landau equations

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa
Bielefeld, University of - Spectral Analysis, Asymptotic Distributions and Stochastic Dynamic Group

 

Collections: Mathematics