Infinite dimensional invariant tori for the one dimensional NLS Equation

Speaker. Livia Corsi
Date. 28.02.23 at 2:00 pm

Abstract. In the study of close to integrable Hamiltonian PDEs, a fundamental question is to understand the behaviour of ”typical” solutions. With this in mind it is natural to study the persistence of almost-periodic solutions and infinite dimensional invariant tori, which are indeed typical in the integrable case. Up to now almost all results in the literature deal with very regular solutions for model PDEs with external parameters giving a large modulation. In this talk I shall discuss a new result constructing Gevrey solutions for models with a weak parameter modulation. This is a joint work with G.Gentile and M.Procesi.