1 citations · 1 across the 2 of their papers we have counts for
4 papers
Birfhoff Normal Form for PDEs with Tame Modulus
D. Bambusi, B. Grebert
We prove an abstract Birkhoff normal form theorem for Hamiltonian Partial Differential Equations. The theorem applies to semilinear equations with nonlinearity satisfying a propert…
A Birkhoff--Lewis Type Theorem for Some Hamiltonian Pdes
Dario Bambusi, Massimiliano Berti
In this paper we give an extension of the Birkhoff--Lewis theorem to some semilinear PDEs. Accordingly we prove existence of infinitely many periodic orbits with large period accum…
On persistence of invariant tori and a theorem by Nekhoroshev
Dario Bambusi, Giuseppe Gaeta
We give a proof of a theorem by N.N. Nekhoroshev concerning Hamiltonian systems with degrees of freedom and integrals of motion in involution, where . Such a…
Long time semiclassical approximation of quantum flows: a proof of the Ehrenfest time
Dario Bambusi, Sandro Graffi, Thierry Paul
Let be a holomorphic Hamiltonian of quadratic growth on , a holomorphic exponentially localized observable, , the corresponding operators on $L^…