Invariant measures for the defocusing NLS

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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.
to appear in Annales de l'Institut Fourier

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/158269

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701287
 http://arxiv.org/abs/math/0701287

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arXiv