Gibbs measure for the periodic derivative nonlinear Schrödinger equation

Details Gibbs measure for the periodic derivative nonlinear Schrödinger equation Gibbs measure for the periodic derivative nonlinear Schrödinger equation

2010-01-24

arxiv.org/abs/1001.4269v3

Mathematics

Analysis of PDEs

To appear in Nonlinearity

Scientific paper

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.

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