Mercoledi’ 04 Ottobre 2017 ORE 16:00 presso il Dipartimento di Matematica e Fisica – Universita’ degli Studi Roma Tre, Largo San Leonardo Murialdo,1 – Pal.C – Aula 311 – il prof. Alberto Maspero (SISSA) terrà il seguente seminario di Analisi Matematica:
Growth of Sobolev norms for abstract linear Schrodinger Equations
Abstract. 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.