Invariant measures for the defocusing NLS
Analysis of PDEs
2008-04-08 v4
Abstract
We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schroedinger equations on the disc of the plane . We also prove an estimate giving some intuition to what may happen in 3 dimensions.
Cite
@article{arxiv.math/0701287,
title = {Invariant measures for the defocusing NLS},
author = {N. Tzvetkov},
journal= {arXiv preprint arXiv:math/0701287},
year = {2008}
}
Comments
to appear in Annales de l'Institut Fourier