3 papers
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-ph2019
Expansions in the delay of quasi-periodic solutions for state dependent delay equations
Alfonso Casal, Livia Corsi, Rafael de la Llave
We consider several models of State Dependent Delay Differential Equations (SDDEs), in which the delay is affected by a small parameter. This is a very singular perturbation since…
math.SP2019
Sharp diameter bound on the spectral gap for quantum graphs
David Borthwick, Livia Corsi, Kenny Jones
We establish an upper bound on the spectral gap for compact quantum graphs which depends only on the diameter and total number of vertices. This bound is asymptotically sharp for p…