124 citations · 521 across the 39 of their papers we have counts for
42 papers
Long time stability of low--frequency packets of modes at finite total energy
Dario Bambusi, Antonio Ponno
We consider the FPUT -model with particles and initial data with small total energy , independent of . In particular, we prove that if the energy is initially given to…
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…
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…