Publications:
Biasco, L., Massetti, J.E., and Procesi, M. Small amplitude weak Sobolev almost periodic solutions for the 1d NLS, to appear on Duke Math. Journal (2022). ArXiv
Haus, E., Langella, B., Maspero, A., Procesi, M., Reducibility and nonlinear stability for a quasi-periodically forced NLS to appear on Pure and Applied Mathematics Quarterly
Feola, R., and Massetti, J.E., Sub-exponential stability for the beam equation, to appear on Journal of Diff. Equations. (2022). ArXiv
Procesi, M., Stolovitch, L., About Linearization of Infinite-Dimensional Hamiltonian Systems, Communications in Mathematical Physics, 2022, 394(1), pp. 39–72
M. Guardia, Z. Hani, E.Haus, A. Maspero, M. Procesi, Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation. J. Eur. Math. Soc. (2022) online first
Feola, R., Montalto, R. Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori
Journal of Differential Equations, 2022, 312, pp. 276–316
Berti, M., Feola, R., Pusateri, F. Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves Communications on Pure and Applied Mathematics, 2022
Feola, R., Iandoli, F. Local well-posedness for the quasi-linear Hamiltonian Schrödinger equation on tori Journal des Mathematiques Pures et Appliquees, 2022, 157, pp. 243–281
Feola, R., Iandoli, F., Murgante, F. Long-time stability of the quantum hydrodynamic system on irrational tori† Mathematics In Engineering, 2022, 4(3)
Preprints:
Arnaud, M.C., Massetti, J.E., and Sorrentino, A. On the persistence of periodic tori for symplectic twist maps and the rigidity of integrable twist maps, submitted (2022), ArXiv