A pr 2 00 8 INVARIANT MEASURES FOR THE DEFOCUSING NLS
نویسنده
چکیده
We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schrödinger equations on the disc of the plane R 2. We also prove an estimate giving some intuition to what may happen in 3 dimensions. Résumé. On démontre l'existence et l'invariance d'une mesure de Gibbs par le flot de l'´ equation de Schrödinger non linéaire posée sur le disque du plan R 2. On démontré egalement une estimée qui donne une idée de ce qui pourrait arriver en dimension 3.
منابع مشابه
J ul 2 00 7 INVARIANT MEASURES FOR THE DEFOCUSING NLS
We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schrödinger equations on the disc of the plane R 2. We also prove an estimate giving some intuition to what may happen in 3 dimensions. Résumé. On démontre l'existence et l'invariance d'une mesure de Gibbs par le flot de l'´ equation de Schrödinger non linéaire posée sur le disque du ...
متن کامل20 07 Invariant Measures for the Defocusing Nls
We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schrödinger equations on the disc of the plane R 2. We also prove an estimate giving some intuition to what may happen in 3 dimensions. Résumé. On démontre l'existence et l'invariance d'une mesure de Gibbs par le flot de l'´ equation de Schrödinger non linéaire posée sur le disque du ...
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