BZ Seminar in Analysis: Massimiliano Berti (Università di Napoli)

KAM for quasi-linear KdV

We prove the existence and the stability of Cantor families of quasi-periodic, small amplitude, solutions of quasi-linear autonomous Hamiltonian and reversible KdV equations. The proof is based on a Nash-Moser scheme, the search of an approximate inverse for the linearized operators, a KAM reducibility scheme and a Birkhoff normal form argument.

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