Strichartz Estimates in Wiener Amalgam Spaces for the Schrödinger equation

Details Strichartz Estimates in Wiener Amalgam Spaces for the Schrödinger equation Strichartz Estimates in Wiener Amalgam Spaces for the Schrödinger equation

2006-10-06

arxiv.org/abs/math/0610229v1

Mathematics

Analysis of PDEs

Scientific paper

We study the dispersive properties of the Schr\"odinger equation. Precisely, we look for estimates which give a control of the local regularity and decay at infinity {\it separately}. The Banach spaces that allow such a treatment are the Wiener amalgam spaces, and Strichartz-type estimates are proved in this framework. These estimates improve some of the classical ones in the case of large time.

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