Gibbs measure for the periodic derivative nonlinear Schrodinger equation

被引：54
|
作者：
Thomann, Laurent [1 ]
Tzvetkov, Nikolay [2 ]
机构：
[1] Univ Nantes, Lab Math J Leray, UMR CNRS 6629, F-44322 Nantes 03, France
[2] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France
来源：
NONLINEARITY | 2010年 / 23卷 / 11期
关键词：
INVARIANT-MEASURES;
D O I：
10.1088/0951-7715/23/11/003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we construct a Gibbs measure for the derivative Schrodinger equation on the circle. The construction uses some renormalizations 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.
引用
收藏
页码：2771 / 2791
页数：21
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