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. A key concept is the introduction of the class of quasi-Toplitz Hamiltonians, which provides a sharp asympototic decay estimate for the eigenvalues of the linearized operators at each KAM step.
KAM theory for the Hamiltonian derivative wave equation / Berti, Massimiliano; Biasco, Luca; Procesi, Michela. - In: ANNALES SCIENTIFIQUES DE L'ECOLE NORMALE SUPERIEURE. - ISSN 0012-9593. - 46:2(2013), pp. 301-373. [10.24033/asens.2190]
KAM theory for the Hamiltonian derivative wave equation
Berti, Massimiliano;
2013-01-01
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. A key concept is the introduction of the class of quasi-Toplitz Hamiltonians, which provides a sharp asympototic decay estimate for the eigenvalues of the linearized operators at each KAM step.File in questo prodotto:
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