Reducibility of first order linear operators on tori via Moser's theorem R Feola, F Giuliani, R Montalto, M Procesi Journal of Functional Analysis 276 (3), 932-970, 2019 | 55 | 2019 |
Reducible KAM tori for the Degasperis–Procesi equation R Feola, F Giuliani, M Procesi Communications in mathematical physics 377 (3), 1681-1759, 2020 | 40 | 2020 |
Quasi-periodic solutions for quasi-linear generalized KdV equations F Giuliani Journal of Differential Equations 262 (10), 5052-5132, 2017 | 32 | 2017 |
Reducibility for a class of weakly dispersive linear operators arising from the Degasperis Procesi equation R Feola, F Giuliani, M Procesi arXiv preprint arXiv:1806.06604, 2018 | 24 | 2018 |
Quasi-periodic traveling waves on an infinitely deep fluid under gravity R Feola, F Giuliani arXiv preprint arXiv:2005.08280, 2020 | 23 | 2020 |
On the integrability of Degasperis–Procesi equation: control of the Sobolev norms and Birkhoff resonances R Feola, F Giuliani, S Pasquali Journal of Differential Equations 266 (6), 3390-3437, 2019 | 19 | 2019 |
Chaotic-like transfers of energy in Hamiltonian PDEs F Giuliani, M Guardia, P Martin, S Pasquali Communications in Mathematical Physics 384 (2), 1227-1290, 2021 | 14 | 2021 |
Quasi-periodic traveling waves on an infinitely deep perfect fluid under gravity R Feola, F Giuliani arXiv preprint arXiv:2005.08280, 2020 | 14* | 2020 |
Sobolev norms explosion for the cubic NLS on irrational tori F Giuliani, M Guardia Nonlinear Analysis 220, 112865, 2022 | 13 | 2022 |
Time quasi-periodic traveling gravity water waves in infinite depth R Feola, F Giuliani arXiv preprint arXiv:2011.12794, 2020 | 9 | 2020 |
KAM for quasi-linear PDE's F Giuliani SISSA, 2017 | 5 | 2017 |
Sobolev instability in the cubic NLS equation with convolution potentials on irrational tori F Giuliani Journal of Differential Equations 416, 1-27, 2025 | 4 | 2025 |
Arnold diffusion in Hamiltonian systems on infinite lattices F Giuliani, M Guardia Communications on Pure and Applied Mathematics 77 (8), 3333-3426, 2024 | 4 | 2024 |
Local well posedness for a system of quasilinear PDEs modelling suspension bridges R Feola, F Giuliani, F Iandoli, JE Massetti Nonlinear Analysis 240, 113442, 2024 | 4 | 2024 |
Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs F Giuliani, M Guardia, P Martin, S Pasquali Rendiconti Lincei 32 (1), 149-166, 2021 | 2 | 2021 |
Transfers of energy through fast diffusion channels in some resonant PDEs on the circle F Giuliani arXiv preprint arXiv:2009.04228, 2020 | 2 | 2020 |
Effective chaos for the Kirchhoff equation on tori P Baldi, F Giuliani, M Guardia, E Haus Annales de l'Institut Henri Poincaré C, 2024 | 1 | 2024 |
Long time NLS approximation for the quasilinear Klein-Gordon equation on large domains under periodic boundary conditions R Feola, F Giuliani arXiv preprint arXiv:2206.11836, 2022 | 1 | 2022 |
Corrigendum to ‘Reducibility of first order linear operators on tori via Moser's theorem’[Journal of Functional Analysis 276 (3)(2019) 932–970] R Feola, F Giuliani, R Montalto, M Procesi Journal of Functional Analysis 279 (2), 108542, 2020 | 1 | 2020 |
Long Time Dynamics of Quasi-linear Hamiltonian Klein–Gordon Equations on the Circle R Feola, F Giuliani Journal of Dynamics and Differential Equations, 1-73, 2024 | | 2024 |