@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}
}
