@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 {1806.03437,
	title = {Long time existence for fully nonlinear NLS with small Cauchy data on the circle},
	year = {2018},
	author = {Feola Roberto and Felice Iandoli}
}
@inbook {Iandoli2017,
	title = {Dispersive Estimates for Schr{\"o}dinger Operators with Point Interactions in ℝ3},
	booktitle = {Advances in Quantum Mechanics: Contemporary Trends and Open Problems},
	year = {2017},
	pages = {187{\textendash}199},
	publisher = {Springer International Publishing},
	organization = {Springer International Publishing},
	address = {Cham},
	abstract = {<p>The study of dispersive properties of Schr{\"o}dinger operators with point interactions is a fundamental tool for understanding the behavior of many body quantum systems interacting with very short range potential, whose dynamics can be approximated by non linear Schr{\"o}dinger equations with singular interactions. In this work we proved that, in the case of one point interaction in $\mathbb{R}^3$, the perturbed Laplacian satisfies the same $L^p$-$L^q$ estimates of the free Laplacian in the smaller regime $q \in [2,3)$. These estimates are implied by a recent result concerning the Lpboundedness of the wave operators for the perturbed Laplacian. Our approach, however, is more direct and relatively simple, and could potentially be useful to prove optimal weighted estimates also in the regime $q \geq 3$.</p>},
	isbn = {978-3-319-58904-6},
	doi = {10.1007/978-3-319-58904-6_11},
	url = {https://doi.org/10.1007/978-3-319-58904-6_11},
	author = {Felice Iandoli and Raffaele Scandone},
	editor = {Alessandro Michelangeli and Gianfausto Dell{\textquoteright}Antonio}
}
