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The stability of full dimensional KAM tori for nonlinear Schrodinger equation

Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2018-04-05

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: SCIE

Volume: 264

Issue: 7

Page Number: 4504-4563

ISSN: 0022-0396

Key Words: Stability for Hamilton PDEs; Almost periodic solution; Full dimensional tori; NLS 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 Schrodinger equation with periodic boundary conditions. (C) 2017 Elsevier Inc. All rights reserved.

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