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math.AP2020★ 1 cited
On the construction of Sobolev Almost periodic invariant tori for the 1d NLS
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
We discuss a method for the construction of almost periodic solutions of the one dimensional analytic NLS with only Sobolev regularity both in time and space. This is the first res…
math.AP2020
Almost-periodic Response Solutions for a forced quasi-linear Airy equation
Livia Corsi, Riccardo Montalto, Michela Procesi
We prove the existence of almost-periodic solutions for quasi-linear perturbations of the Airy equation. This is the first result about the existence of this type of solutions for…