AVVISO
Il ciclo di seminari di Analisi Armonica, proseguirà
Giovedì 6 aprile alle ore 11.00 in aula Tonelli
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.
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