KAM for quasi-linear KdV

Nom de l'orateur
Massimiliano Berti
Etablissement de l'orateur
Naples
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires

We prove the existence and the stability of Cantor families of quasi-periodic, small amplitude solutions of quasi-linear autonomous Hamiltonian and reversible perturbations of KdV and mKdV. The results are based on a Nash-Moser and KAM techniques for the reducibility of the linearized operators along the iteration.