We consider a class of quasi linear Schrödinger equations and we prove the existence and the stability of a Cantor families of quasi-periodic, small amplitude solutions. We deal with reversible autonomous nonlinearities and we apply an abstract Nash-Moser/KAM algorithm for the construction of invariant tori which allows us to find analytic solutions.
KAM Theory for quasi linear NLS
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Nom de l'orateur
Roberto Feola
Etablissement de l'orateur
Scuola Internazionale Superiore di Studi Avanzati
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