Top-level heading

On wellposedness properties of the nonlinear Schroedinger equation on compact surfaces

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

Patrick GERARD UNIVERSITE PARIS-SUD

I shall survey recent wellposedness results for the Cauchy problem of NLS on compact surfaces, with some emphasis on the role played by the geometry of the surface. The case of the sphere, where a new instability phenomenon occurs, will be discussed in detail, in connection with bilinear estimates on spherical harmonics.