Blow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise
| dc.creator | de Bouard, Anne | |
| dc.creator | Debussche, Arnaud | |
| dc.date | 2005-06-29 | |
| dc.date.accessioned | 2026-07-07T05:21:14Z | |
| dc.date.available | 2026-07-07T05:21:14Z | |
| dc.description | We study the influence of a multiplicative Gaussian noise, white in time and correlated in space, on the blow-up phenomenon in the supercritical nonlinear Schrodinger equation. We prove that any sufficiently regular and localized deterministic initial data gives rise to a solution which blows up in arbitrarily small time with a positive probability. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117904000000964 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0506595 | |
| dc.identifier | http://arxiv.org/abs/math/0506595 | |
| dc.identifier | Annals of Probability 2005, Vol. 33, No. 3, 1078-1110 | |
| dc.identifier | doi:10.1214/009117904000000964 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75617 | |
| dc.subject | Probability | |
| dc.subject | 35Q55, 60H15 (Primary) 76B35, 60H30, 60J60. (Secondary) | |
| dc.title | Blow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise | |
| dc.type | text |