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.