Data di Pubblicazione:
2016
Citazione:
KAM for autonomous quasi-linear perturbations of mKdV / P. Baldi, M. Berti, R. Montalto. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 2198-2759. - 9:2(2016 Jun), pp. 143-188.
Abstract:
We prove the existence of Cantor families of small amplitude, linearly stable, quasi-periodic solutions of quasi-linear (also called strongly nonlinear) autonomous Hamiltonian differentiable perturbations of the mKdV equation. The proof is based on a weak version of the Birkhoff normal form algorithm and a nonlinear Nash-Moser iteration. The analysis of the linearized operators at each step of the iteration is achieved by pseudo-differential operator techniques and a linear KAM reducibility scheme
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
P. Baldi, M. Berti, R. Montalto
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