KAM theory for the hamiltonian derivative wave equation
[Théorie KAM pour l'équation des ondes hamiltonienne avec dérivées]
Berti, Massimiliano ; Biasco, Luca ; Procesi, Michela
Annales scientifiques de l'École Normale Supérieure, Tome 46 (2013), p. 301-373 / Harvested from Numdam
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Nous prouvons un théorème KAM en dimension infinie, qui implique l'existence de familles de Cantor de tores invariants de petite amplitude, réductibles, elliptiques et analytiques, pour les équations des ondes hamiltoniennes avec dérivées.

We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small-amplitude, reducible, elliptic, analytic, invariant tori of Hamiltonian derivative wave equations.

Publié le : 2013-01-01
DOI : https://doi.org/10.24033/asens.2190
Classification:  37K55,  35L05
Mots clés: théorème KAM en dimension infinie, familles de Cantor, équation des ondes hamiltonienne avec dérivées 
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     author = {Berti, Massimiliano and Biasco, Luca and Procesi, Michela},
     title = {KAM theory for the hamiltonian derivative wave equation},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {46},
     year = {2013},
     pages = {301-373},
     doi = {10.24033/asens.2190},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_2013_4_46_2_301_0}
}

Berti, Massimiliano; Biasco, Luca; Procesi, Michela. KAM theory for the hamiltonian derivative wave equation. Annales scientifiques de l'École Normale Supérieure, Tome 46 (2013) pp. 301-373. doi : 10.24033/asens.2190. http://gdmltest.u-ga.fr/item/ASENS_2013_4_46_2_301_0/

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