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arXiv · 1810.06440

Exponential Stability Estimates for the 1D NLS

Biasco Luca·Jessica Elisa Massetti·Michela Procesi
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Abstract

We study stability times for a family of parameter dependent nonlinear Schr\"odinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first introduced by Bourgain), we prove a rather flexible Birkhoff Normal Form theorem, which implies, e.g., exponential and sub-exponential time estimates in the Sobolev and Gevrey class respectively.

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Biasco Luca, Jessica Elisa Massetti, Michela Procesi. 2018-10-15. Exponential Stability Estimates for the 1D NLS. https://arxiv.org/abs/1810.06440

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