How to cite item

Stochastic Nonlinear Schrödinger Equations Driven by a Fractional Noise. Well-Posedness, Large Deviations and Support

   
@article{EJP416,
	author = {Eric Gautier},
	title = {Stochastic Nonlinear Schrödinger Equations Driven by a Fractional Noise. Well-Posedness, Large Deviations and Support},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {12},
	year = {2007},
	keywords = {Large deviations; stochastic partial differential equations; nonlinear Schrodinger equation; fractional Brownian motion},
	abstract = {We consider stochastic nonlinear Schrodinger equations driven by an additive noise. The noise is fractional in time with Hurst parameter $H \in (0,1)$ 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 $H > 1/2$.},
	pages = {no. 29, 848-861},
	issn = {1083-6489},
	doi = {10.1214/EJP.v12-416},    
        url = {http://ejp.ejpecp.org/article/view/416}}