Venue
Aula Seminari
Abstract
In this talk I will discuss the Schrödinger operators with point interaction, which model the dynamics of a quantum particle interacting with a spatial defect. After introducing the adapted Sobolev spaces and the dispersive properties of the associated unitary evolution, I will consider the corresponding non-linear Schrödinger equation. Some recent results on the local and global well-posedness and the existence of standing waves solutions will be provided