Gibbs measure for the periodic derivative nonlinear Schr\"odinger equation
Analysis of PDEs
2010-09-24 v3
Abstract
In this paper we construct a Gibbs measure for the derivative Schr\"odinger equation on the circle. The construction uses some renormalisations of Gaussian series and Wiener chaos estimates, ideas which have already been used by the second author in a work on the Benjamin-Ono equation.
Keywords
Cite
@article{arxiv.1001.4269,
title = {Gibbs measure for the periodic derivative nonlinear Schr\"odinger equation},
author = {Laurent Thomann and Nikolay Tzvetkov},
journal= {arXiv preprint arXiv:1001.4269},
year = {2010}
}
Comments
To appear in Nonlinearity