35 citations · 57 across the 17 of their papers we have counts for
17 papers
Nekhoroshev Theorem for time quasiperiodic perturbations of P-Steep systems
Dario Bambusi, Santiago Barbieri, Mar Giralt +1
We prove a Nekhoroshev type result for a time quasiperiodic perturbation of an integrable Hamiltonian system. More precisely, we assume that the integrable part is analytic and ful…
Transfer of energy for pure-gravity water waves with constant vorticity
Beatrice Langella, Alberto Maspero, Federico Murgante +1
We consider two-dimensional periodic gravity water waves with constant nonzero vorticity , in infinite depth and with periodic boundary conditions. We prove that, if the charact…
Polynomial Prethermal Lifetimes in Non Smoothly Driven Quantum Systems
Matteo Gallone, Beatrice Langella
We study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving fr…
Growth of Sobolev norms for completely resonant quantum harmonic oscillators on
Beatrice Langella, Alberto Maspero, Maria Teresa Rotolo
We consider time dependently perturbed quantum harmonic oscillators in : $$ {\rm i} \partial_t u=\frac12(-\partial_{x_1}^2-\partial_{x_2}^2 + x_1^2+x_2^2)u +V(t, x, D…
Globally integrable quantum systems and their perturbations
Dario Bambusi, Beatrice Langella
In this paper we present the notion of globally integrable quantum system that we introduced in [BL22]: we motivate it using the spectral theory of pseudodifferential operators and…
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow
Dario Bambusi, Roberto Feola, Beatrice Langella +1
In this paper we prove an abstract result of almost global existence for small and smooth solutions of some semilinear PDEs on Riemannian manifolds with globally integrable geodesi…
Time periodic solutions of completely resonant Klein-Gordon equations on
Massimiliano Berti, Beatrice Langella, Diego Silimbani
We prove existence and multiplicity of Cantor families of small amplitude time periodic solutions of completely resonant Klein-Gordon equations on the sphere with qu…
Prethermalization and conservation laws in quasi-periodically-driven quantum systems
Matteo Gallone, Beatrice Langella
We study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving. {When the frequency of the driving is lar…
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…
Growth of Sobolev norms in quasi integrable quantum systems
Dario Bambusi, Beatrice Langella
We prove an abstract result giving a upper bound on the growth of the Sobolev norms of a time-dependent Schrödinger equation of the form ${i} \dot ψ…
On the stable eigenvalues of perturbed anharmonic oscillators in dimension two
D. Bambusi, B. Langella, M. Rouveyrol
We study the asymptotic behavior of the spectrum of a quantum system which is a perturbation of a spherically symmetric anharmonic oscillator in dimension 2. We prove that a large…
Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We prove a bound on the growth of Sobolev norms for unbounded time dependent perturbations of the Laplacian on flat tori.
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We study Schrödinger operators with Floquet boundary conditions on flat tori obtaining a spectral result giving an asymptotic expansion of all the eigenvalues. The expansion is in…
A simple proof for a Nekhoroshev theorem
Dario Bambusi, Beatrice Langella
We prove a version of the Nekhoroshev's estimate on the stability times of the actions in close to integrable Hamiltonian systems. The proof we give is a variant of the…
On the spectrum of the Schrödinger operator on : a normal form approach
Dario Bambusi, Beatrice Langella, Riccardo Montalto
In this paper we study the spectrum of the operator \begin{equation} \label{ope} H:=(-Δ)^{M/2}+\mathcal{V}\ , \quad M>0\ , \end{equation} on , with a maxim…
Reducibility of non-resonant transport equation on with unbounded perturbations
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We prove reducibility of a transport equation on the -dimensional torus with a time quasi-periodic unbounded perturbation. As far as we know this is the first example of a…
Absolute continuity of the spectrum of coupled identical systems on 1D lattices
Beatrice Langella, Dario Bambusi
We prove that the spectrum of the discrete Schrödinger operator on , is absolutely continuo…