2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75617We 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.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)Probability35Q55, 60H15 (Primary) 76B35, 60H30, 60J60. (Secondary)text