Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise

Details Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise

2004-12-16

arxiv.org/abs/math/0412319v1

Stochastic Process. Appl. 115, Issue 12, December 2005, pp. 1904-1927

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.spa.2005.06.011

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.

Affiliated with

Also associated with

No associations

Rating

Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-628842