Blow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise

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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.
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)

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Probability, 35Q55, 60H15 (Primary) 76B35, 60H30, 60J60. (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/75617

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506595
 http://arxiv.org/abs/math/0506595
 Annals of Probability 2005, Vol. 33, No. 3, 1078-1110
 doi:10.1214/009117904000000964

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arXiv