Orateur
Beatrice Langella
(SISSA-Trieste)
Description
In this talk I will consider a class of linear Schrödinger equations, whose Hamiltonian is given by bounded, time periodic perturbations of the 2-dimensional Harmonic oscillator. Under complete resonance assumptions, I will show that a generic class of perturbations admits solutions whose Sobolev norms undergo infinite growth as time tends to infinity.
The proof combines pseudo-differential normal form, Mourre theory, and techniques from dynamical systems, in order to identify the good class of perturbations admitting energy cascades.
This is a joint work with A. Maspero and M. T. Rotolo.