1D quintic nonlinear Schr\"odinger equation with white noise dispersion
Analysis of PDEs
2010-10-20 v1 Probability
Abstract
In this article, we improve the Strichartz estimates obtained in [12] for the Schr\"odinger equation with white noise dispersion in one dimension. This allows us to prove global well posedness when a quintic critical nonlinearity is added to the equation. We finally show that the white noise dispersion is the limit of smooth random dispersion.
Keywords
Cite
@article{arxiv.1010.4011,
title = {1D quintic nonlinear Schr\"odinger equation with white noise dispersion},
author = {Arnaud Debussche and Yoshio Tsutsumi},
journal= {arXiv preprint arXiv:1010.4011},
year = {2010}
}