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arxiv: 1705.01658 · v1 · submitted 2017-05-03 · 🧮 math.DS

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The Stability of Full Dimensional KAM tori for Nonlinear Schr\"odinger equation

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keywords dimensionalequationfullnonlinearschrtorianalboundary
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In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., \textbf{229} (2005), no. 1, 62-94.] is stable in a very long time for 1D nonlinear Schr\"{o}dinger equation with periodic boundary conditions.

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