Stochastic nonlinear Schrodinger equations driven by a fractional noise - Well posedness, large deviations and support
| dc.creator | Gautier, Eric | |
| dc.date | 2006-09-14 | |
| dc.date.accessioned | 2026-07-07T08:41:27Z | |
| dc.date.available | 2026-07-07T08:41:27Z | |
| dc.description | We consider stochastic nonlinear Schrodinger equations driven by an additive noise. The noise is fractional in time with Hurst parameter H in (0,1). It is also colored in space and the space correlation operator is assumed to be nuclear. We study the local well-posedness of the equation. Under adequate assumptions on the initial data, the space correlations of the noise and for some saturated nonlinearities, we prove a sample path large deviations principle and a support result. These results are stated in a space of exploding paths which are Holder continuous in time until blow-up. We treat the case of Kerr nonlinearities when H > 1/2. | |
| dc.identifier | https://arxiv.org/abs/math/0609423 | |
| dc.identifier | http://arxiv.org/abs/math/0609423 | |
| dc.identifier | Electronic Journal of Probability 12, June 2007, pp. 848-861 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141677 | |
| dc.subject | Probability | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 60F10; 60H15; 35Q55 | |
| dc.title | Stochastic nonlinear Schrodinger equations driven by a fractional noise - Well posedness, large deviations and support | |
| dc.type | text |