123 citations · 770 across the 37 of their papers we have counts for
32 papers · 1 filter
Asymptotically full measure sets of almost-periodic solutions for the NLS equation
Luca Biasco, Livia Corsi, Guido Gentile +1
We study the dynamics of solutions for a family of nonlinear Schroedinger equations on the circle, with a smooth convolution potential and Gevrey regular initial data. Our main res…
Reducibility of Klein-Gordon equations with maximal order perturbations
Massimiliano Berti, Roberto Feola, Michela Procesi +1
We prove that all the solutions of a quasi-periodically forced linear Klein-Gordon equation where $ Q(ωt) := a^{(2)}(ωt, x) \partial_{xx} + a^…
Almost-periodic solutions to the NLS equation with smooth convolution potentials
Livia Corsi, Guido Gentile, Michela Procesi
We consider the one-dimensional NLS equation with a convolution potential and a quintic nonlinearity. We prove that, for most choices of potentials with polynomially decreasing Fou…
Reducibility and nonlinear stability for a quasi-periodically forced NLS
Emanuele Haus, Beatrice Langella, Alberto Maspero +1
Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic Schrödinger equation (NLS) on the two dimensional torus $\mathbb T^2:= (\mathbb R…
Small amplitude weak Sobolev almost periodic solutions for the 1d NLS
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
All the almost periodic solutions for non integrable PDEs found in the literature are very regular (at least ) and, hence, very close to quasi periodic ones. This fact is…
On the construction of Sobolev Almost periodic invariant tori for the 1d NLS
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
We discuss a method for the construction of almost periodic solutions of the one dimensional analytic NLS with only Sobolev regularity both in time and space. This is the first res…