Seminari del Dipartimento

Analisi Matematica

We prove an abstract theorem giving a $t^epsilon$ bound for any $epsilon> 0$ on the growth of the Sobolev norms in some abstract linear Schroedinger equations.
The abstract theorem is applied to several cases, including perturbations of (i) Schroedinger equation on a Zoll manifold; (ii) resonant or nonresonant Harmonic oscillators in R^d.
The proof is obtained by conjugating the system to some normal form in which the perturbation is a smoothing operator. This is a joint work with D. Bambusi, B. Grebert and D. Robert.

 
org: PROCESI Michela