RT Journal Article
SR 00
ID 10.1214/EJP.v12-416
A1 Gautier, Eric
T1 Stochastic nonlinear Schrödinger equations driven by a fractional noise - Well posedness, large deviations and support
JF Electronic Journal of Probability
YR 2007
FD 2007
VO 12
SP 848
OP 861
AB We consider stochastic nonlinear Schrodinger equations driven by an additive noise. The noise is fractional in time with Hurst parameter H∈(0,1) and colored in space with a nuclear space correlation operator. We study local well-posedness. Under adequate assumptions on the initial data, the space correlations of the noise and for some saturated nonlinearities, we prove sample path large deviations and support results in a space of Holder continuous in time until blow-up paths. We consider Kerr nonlinearities when H>1/2.
LK https://publications.ut-capitole.fr/id/eprint/19708/
UL http://tse-fr.eu/pub/30203