AVVISO
Il
ciclo di seminari di Analisi Armonica, proseguirà
Giovedì
6 aprile alle ore
sul
seguente argomento:
“Nonlinear Schroedinger
equation on four-dimensional
compact
manifolds"
Vittoria Pierfelice
(Scuola Normale)
Abstract
We
prove two new results about the Cauchy problem in the energy space for nonlinear
Schroedinger equations on four-dimensional compact manifolds. The first one
concerns global wellposedness for Hartree-type nonlinearities and includes
approximations of cubic NLS on the sphere. The second one provides, in the case
of zonal data on the sphere, local wellposedness for quadratic nonlinearities as
well as global wellposedness for small energy data in the Hamiltonian case. Both
results are based on new multilinear Strichartz-type estimates for the
Schroedinger group.
Il
programma dei seminari proseguirà a cadenza settimanale, in aula Tonelli,
con lo stesso orario.
Tutti gli interessati
sono invitati a partecipare.