D. Bambusi

activity

19982020

most citedBoundary effects on the dynamics of chains of coupled oscillators

12 citations · 20 across the 10 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math-ph2019

Dispersive estimate for quasi-periodic Schrödinger operators on 1- $d$ lattices

Dario Bambusi, Zhiyan Zhao

Consider the one-dimensional discrete Schrödinger operator $H_{θ}$ : $(H_{θ} q)_{n} = - (q_{n + 1} + q_{n - 1}) + V (θ + nω) q_{n}, n \in Z,$ with $ω \in R^{d}$ Diophantine, and $V$ a real-ana…

math-ph2019

Hamiltonian studies on counter-propagating water waves

Dario Bambusi

We use a Hamiltonian normal form approach to study the dynamics of the water wave problem in the small amplitude long wave regime (KdV regime). If $μ$ is the small parameter corres…

math.AP2019

Convergence to normal forms of integrable PDEs

Dario Bambusi, Laurent Stolovitch

In an infinite dimensional Hilbert space we consider a family of commuting analytic vector fields vanishing at the origin and which are nonlinear perturbations of some fundamental…

math-ph2019

On the spectrum of the Schrödinger operator on $T^{d}$ : 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 $L^{2} (R^{d} /Γ)$ , with $Γ$ a maxim…

Dispersive estimate for quasi-periodic Schrödinger operators on 1-d lattices

Hamiltonian studies on counter-propagating water waves

Convergence to normal forms of integrable PDEs

On the spectrum of the Schrödinger operator on Td: a normal form approach

Dispersive estimate for quasi-periodic Schrödinger operators on 1- $d$ lattices

On the spectrum of the Schrödinger operator on $T^{d}$ : a normal form approach