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

Abstract

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

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