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KAM theorem for the nonlinear Schrödinger equation


Grébert, B; Kappeler, T (2001). KAM theorem for the nonlinear Schrödinger equation. Journal of Nonlinear Mathematical Physics, 8(suppl.):133-138.

Abstract

We prove the persistence of finite dimensional invariant tori associated with the dfocusing nonlinear Schrödinger equation under small Hamiltonian perturbations. The invariant tori are not necessarily small.

We prove the persistence of finite dimensional invariant tori associated with the dfocusing nonlinear Schrödinger equation under small Hamiltonian perturbations. The invariant tori are not necessarily small.

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Additional indexing

Other titles:Nonlinear evolution equations and dynamical systems (Kolimbary, 1999)
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:defocusing nonlinear Schrödinger equation; Hamiltonian perturbations
Language:English
Date:2001
Deposited On:18 Feb 2010 13:09
Last Modified:20 May 2016 22:12
Publisher:Atlantis Press
ISSN:1402-9251
Additional Information:© Atlantis Press. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
Publisher DOI:https://doi.org/10.2991/jnmp.2001.8.s.23
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0977.35133
Permanent URL: https://doi.org/10.5167/uzh-22028

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