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math.AP2021
Small amplitude weak Sobolev almost periodic solutions for the 1d NLS
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
All the almost periodic solutions for non integrable PDEs found in the literature are very regular (at least ) and, hence, very close to quasi periodic ones. This fact is…
math.DS2021★ 1 cited
Flexibility and analytic smoothing in averaging theory
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
Using a new strategy, we extend the classical Nekhoroshev's estimates to the case of Hölder regular steep near-integrable hamiltonian systems, the stability times being polynomiall…