KAM theory for the hamiltonian derivative wave equation

Massimiliano Berti; Luca Biasco; Michela Procesi

Annales scientifiques de l'École Normale Supérieure (2013)

  • Volume: 46, Issue: 2, page 301-373
  • ISSN: 0012-9593

Abstract

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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.

How to cite

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Berti, Massimiliano, Biasco, Luca, and Procesi, Michela. "KAM theory for the hamiltonian derivative wave equation." Annales scientifiques de l'École Normale Supérieure 46.2 (2013): 301-373. <http://eudml.org/doc/272171>.

@article{Berti2013,
abstract = {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.},
author = {Berti, Massimiliano, Biasco, Luca, Procesi, Michela},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {infinite dimensional KAM theorem; Cantor families; hamiltonian derivative wave equations},
language = {eng},
number = {2},
pages = {301-373},
publisher = {Société mathématique de France},
title = {KAM theory for the hamiltonian derivative wave equation},
url = {http://eudml.org/doc/272171},
volume = {46},
year = {2013},
}

TY - JOUR
AU - Berti, Massimiliano
AU - Biasco, Luca
AU - Procesi, Michela
TI - KAM theory for the hamiltonian derivative wave equation
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2013
PB - Société mathématique de France
VL - 46
IS - 2
SP - 301
EP - 373
AB - 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.
LA - eng
KW - infinite dimensional KAM theorem; Cantor families; hamiltonian derivative wave equations
UR - http://eudml.org/doc/272171
ER -

References

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