![photo](/sites/default/files/styles/mt_landscape_image/public/2024-03/Unknown-2.jpeg?itok=V6waHNTF)
Speaker: Michela Procesi (Roma 3)
Almost-periodic solutions for the non-linear Schrödinger equation on the circle
It is well known that for close-to-integrable finite dimensional Hamiltonian systems "most" solutions live on maximal invariant tori, so it is very natural to wonder whether such a result can hold also in infinite dimensional systems. This is a very challenging problem and mostly still wide open. I will give an overview of recent results, main difficulties and open problems, concentrating on the case of the non-linear Schrödinger equation on the circle with a convolution potential.
Il seminario si terrà presso il Dipartimento di Matematica Guido Castelnuovo, Sapienza, Aula Consiglio (1° piano)