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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…
math.AP2022
Long time NLS approximation for the quasilinear Klein-Gordon equation on large domains under periodic boundary conditions
Roberto Feola, Filippo Giuliani
We provide the rigorous justification of the NLS approximation, in Sobolev regularity, for a class of quasilinear Hamiltonian Klein Gordon equations with quadratic nonlinearities o…