Sala delle Riunioni (Dip. Matematica Applicata).
In this talk we will present recent results concerning the initial value problem (IVP) associated to generalized derivative Schrödinger equations. We show local well-posedness for small initial data in a suitable weighted Sobolev spaces. We use an argument introduced by Cazenave and Naumkin to obtain our main results combined with the homogeneus and inhomogeneous smoothing effects of Kato type. If time permits we will show how these results can be extended for any data size in a suitable class.