@article {berti2024reducibilitykleingordonequationsmaximal,
	title = {Reducibility of Klein-Gordon equations with maximal order perturbations},
	year = {2024},
	url = {https://arxiv.org/abs/2402.11377},
	author = {Massimiliano Berti and Roberto Feola and Michela Procesi and Shulamit Terracina}
}
@article {2022,
	title = {Long-time stability of the quantum hydrodynamic system on irrational tori},
	journal = {Mathematics in Engineering},
	volume = {4},
	year = {2022},
	pages = {1-24},
	keywords = {Euler-Korteweg, irrational tori, long time stability, QHD system, Small divisors},
	issn = {2640-3501},
	doi = {10.3934/mine.2022023},
	url = {https://www.aimspress.com/article/doi/10.3934/mine.2022023},
	author = {Roberto Feola and Felice Iandoli and Federico Murgante}
}
@article {FEOLA2019119,
	title = {Local well-posedness for quasi-linear NLS with large Cauchy data on the circle},
	journal = {Annales de l{\textquoteright}Institut Henri Poincar{\'e} C, Analyse non lin{\'e}aire},
	volume = {36},
	number = {1},
	year = {2019},
	pages = {119 - 164},
	abstract = {<p>We prove local in time well-posedness for a large class of quasilinear Hamiltonian, or parity preserving, Schr{\"o}dinger equations on the circle. After a paralinearization of the equation, we perform several paradifferential changes of coordinates in order to transform the system into a paradifferential one with symbols which, at the positive order, are constant and purely imaginary. This allows to obtain a priori energy estimates on the Sobolev norms of the solutions.</p>},
	keywords = {Dispersive equations, Energy method, Local wellposedness, NLS, Para-differential calculus, Quasi-linear PDEs},
	issn = {0294-1449},
	doi = {https://doi.org/10.1016/j.anihpc.2018.04.003},
	url = {http://www.sciencedirect.com/science/article/pii/S0294144918300428},
	author = {Roberto Feola and Felice Iandoli}
}
@article {FEOLA2019932,
	title = {Reducibility of first order linear operators on tori via Moser{\textquoteright}s theorem},
	journal = {Journal of Functional Analysis},
	volume = {276},
	number = {3},
	year = {2019},
	pages = {932 - 970},
	abstract = {<p>In this paper we prove reducibility of a class of first order, quasi-linear, quasi-periodic time dependent PDEs on the torus∂tu+ζ.∂xu+a(ωt,x).∂xu=0,x∈Td,ζ∈Rd,ω∈Rν. As a consequence we deduce a stability result on the associated Cauchy problem in Sobolev spaces. By the identification between first order operators and vector fields this problem can be formulated as the problem of finding a change of coordinates which conjugates a weakly perturbed constant vector field on Tν+d to a constant diophantine flow. For this purpose we generalize Moser{\textquoteright}s straightening theorem: considering smooth perturbations we prove that the corresponding straightening torus diffeomorphism is smooth, under the assumption that the perturbation is small only in some given Sobolev norm and that the initial frequency belongs to some Cantor-like set. In view of applications in KAM theory for PDEs we provide also tame estimates on the change of variables.</p>},
	keywords = {Hyperbolic PDEs, KAM theory, Nash{\textendash}Moser, Reducibility},
	issn = {0022-1236},
	doi = {https://doi.org/10.1016/j.jfa.2018.10.009},
	url = {http://www.sciencedirect.com/science/article/pii/S0022123618303793},
	author = {Roberto Feola and Filippo Giuliani and Riccardo Montalto and Michela Procesi}
}
@article {1806.06604,
	title = {Reducibility for a class of weakly dispersive linear operators arising from the Degasperis Procesi equation},
	year = {2018},
	author = {Roberto Feola and Filippo Giuliani and Michela Procesi}
}
