Invariant measures for the defocusing NLS

Details Invariant measures for the defocusing NLS Invariant measures for the defocusing NLS

2007-01-10

arxiv.org/abs/math/0701287v4

Mathematics

Analysis of PDEs

to appear in Annales de l'Institut Fourier

Scientific paper

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 $\R^2$. We also prove an estimate giving some intuition to what may
happen in 3 dimensions.

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