We prove, by applying a KAM algorithm, existence of large families of stable and unstable quasi periodic solutions for the NLS in any number of independent frequencies. The main tools are the existence of a non-degenerate integrable normal form proved in previous papers by the authors and a suitable generalization of the quasi-T oplitz functions.
A KAM algorithm for the resonant non-linear Schrödinger equation / C., Procesi; Procesi, Michela. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - (In corso di stampa), pp. ..-...
A KAM algorithm for the resonant non-linear Schrödinger equation
PROCESI, Michela
In corso di stampa
Abstract
We prove, by applying a KAM algorithm, existence of large families of stable and unstable quasi periodic solutions for the NLS in any number of independent frequencies. The main tools are the existence of a non-degenerate integrable normal form proved in previous papers by the authors and a suitable generalization of the quasi-T oplitz functions.File allegati a questo prodotto
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