Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise
| dc.creator | Gautier, Eric | |
| dc.date | 2004-12-16 | |
| dc.date.accessioned | 2026-07-07T08:41:26Z | |
| dc.date.available | 2026-07-07T08:41:26Z | |
| dc.description | Uniform large deviations for the laws of the paths of the solutions of the stochastic nonlinear Schrodinger equation when the noise converges to zero are presented. The noise is a real multiplicative Gaussian noise. It is white in time and colored in space. The path space considered allows blow-up and is endowed with a topology analogue to a projective limit topology. Thus a large variety of large deviation principle may be deduced by contraction. As a consequence, asymptotics of the tails of the law of the blow-up time when the noise converges to zero are obtained. | |
| dc.identifier | https://arxiv.org/abs/math/0412319 | |
| dc.identifier | http://arxiv.org/abs/math/0412319 | |
| dc.identifier | Stochastic Process. Appl. 115, Issue 12, December 2005, pp. 1904-1927 | |
| dc.identifier | doi:10.1016/j.spa.2005.06.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141675 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Probability | |
| dc.subject | 60F10 ; 60H15 ; 35Q55 | |
| dc.title | Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise | |
| dc.type | text |