# Seminari del Dipartimento

 Analisi MatematicaGrowth of Sobolev norms for abstract linear Schrödinger EquationsAlberto Maspero04-10-2017 - 16:00Largo San Leonardo Murialdo,1 - Pal.C - Aula 311 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