Strichartz estimates for the Schrödinger equation

Elena Cordero; Davide Zucco

doi:10.4067/S0719-06462010000300014

Authors

Elena Cordero Department of Mathematics, University of Torino, v. Carlo Alberto 10, Torino, Italy.
Davide Zucco Department of Mathematics, University of Torino, v. Carlo Alberto 10, Torino, Italy.

DOI:

https://doi.org/10.4067/S0719-06462010000300014

Keywords:

Dispersive estimates, Strichartz estimates, Wiener amalgam spaces, Modulation spaces, Schrödinger equation

Abstract

The objective of this paper is to report on recent progress on Strichartz estimates for the Schrödinger equation and to present the state-of-the-art. These estimates have been obtained in Lebesgue spaces, Sobolev spaces and, recently, in Wiener amalgam and modulation spaces. We present and compare the different technicalities. Then, we illustrate applications to well-posedness.