Blow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise
Probability
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0506595,
title = {Blow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise},
author = {Anne de Bouard and Arnaud Debussche},
journal= {arXiv preprint arXiv:math/0506595},
year = {2007}
}
Comments
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)