1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2023
On the lifespan of solutions and control of high Sobolev norms for the completely resonant NLS on tori
Roberto Feola, Jessica Elisa Massetti
We consider a completely resonant nonlinear Schrödinger equation on the -dimensional torus, for any , with polynomial nonlinearity of any degree , , which…
math.AP2022★ 1 cited
Almost global existence for some Hamiltonian PDEs with small Cauchy data on general tori
Dario Bambusi, Roberto Feola, Riccardo Montalto
In this paper we prove a result of almost global existence for some abstract nonlinear PDEs on flat tori and apply it to some concrete equations, namely a nonlinear Schrödinger equ…
math.AP2022
Sub-exponential stability for the Beam equation
Roberto Feola, Jessica Elisa Massetti
We consider a one-parameter family of beam equations with Hamiltonian non-linearity in one space dimension under periodic boundary conditions. In a unified functional framework we…