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Invariant measures for the defocusing NLS

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

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N. Tzvetkov. 2008-04-08. Invariant measures for the defocusing NLS. https://arxiv.org/abs/math/0701287

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