Top-level heading

Existence and regularity for the Schroedinger propagator

Categoria: 
Seminari di Analisi Matematica
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker: 

Kenji Yajima GAKUSHUIN UNIVERSITY, TOKYO

We consider time dependent Schroedinger equations with linearly increasing smooth magnetic potentials and quadratically increasing singular scalar potentials. We give sufficient conditions on the potentials: i) for the existence of a unique unitary propagator; ii) for the propagator to preserve the domain of the harmonic oscillator.