41 citations · 44 across the 5 of their papers we have counts for
5 papers
Almost global existence for Hamiltonian PDEs on compact manifolds
Dario Bambusi, Joackim Bernier, Benoît Grébert +1
We prove an abstract result of almost global existence of small solutions to semi-linear Hamiltonian partial differential equations satisfying very weak non resonance conditions an…
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…
Normal Forms, symmetry, and linearization of dynamical systems
D. Bambusi, G. Cicogna, G. Gaeta +1
We discuss how the presence of a suitable symmetry can guarantee the perturbative linearizability of a dynamical system - or a parameter dependent family - via the Poincaré Normal…
Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
Dario Bambusi, Jean-Marc Delort, Benoit Grebert +1
This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on Zoll manifolds (e.g. spheres of arbitrary dimension) with Hamiltonian nonlineari…