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, L. Procesi M.. - In: ANNALES SCIENTIFIQUES DE L'ECOLE NORMALE SUPERIEURE. - ISSN 0012-9593. - STAMPA. - 46:2, mars-avril(2013), pp. 301-373.
KAM theory for the Hamiltonian derivative wave equation
BERTI, MASSIMILIANO;
2013
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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