Strichartz Estimates for the 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.

arXiv commentarXiv admin note: text overlap with arXiv:0707.4584

References in corpus (1)

• Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations

Cited by in corpus (1)

• On nonlinear profile decompositions and scattering for a NLS-ODE model