@article {2019,
	title = {Reducibility for a fast-driven linear Klein{\textendash}Gordon equation},
	volume = {198},
	year = {2019},
	month = {2019/08/01},
	pages = {1407 - 1439},
	abstract = {<p>We prove a reducibility result for a linear Klein{\textendash}Gordon equation with a quasi-periodic driving on a compact interval with Dirichlet boundary conditions. No assumptions are made on the size of the driving; however, we require it to be fast oscillating. In particular, provided that the external frequency is sufficiently large and chosen from a Cantor set of large measure, the original equation is conjugated to a time-independent, diagonal one. We achieve this result in two steps. First, we perform a preliminary transformation, adapted to fast oscillating systems, which moves the original equation in a perturbative setting. Then, we show that this new equation can be put to constant coefficients by applying a KAM reducibility scheme, whose convergence requires a new type of Melnikov conditions.</p>},
	isbn = {1618-1891},
	url = {https://doi.org/10.1007/s10231-019-00823-2},
	author = {Luca Franzoi and Alberto Maspero}
}
