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math.AP2025★ 1 cited
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…
math.AP2020
Almost-periodic Response Solutions for a forced quasi-linear Airy equation
Livia Corsi, Riccardo Montalto, Michela Procesi
We prove the existence of almost-periodic solutions for quasi-linear perturbations of the Airy equation. This is the first result about the existence of this type of solutions for…
math.AP2018
Quasi-periodic solutions for the forced Kirchhoff equation on
Livia Corsi, Riccardo Montalto
In this paper we prove the existence of small-amplitude quasi-periodic solutions with Sobolev regularity, for the -dimensional forced Kirchhoff equation with periodic boundary c…