# Strichartz estimates for the Schr\"odinger propagator in Wiener amalgam spaces

## TL;DR

This paper investigates Strichartz estimates for the Schrödinger propagator within Wiener amalgam spaces, enabling a more detailed analysis of local and global behavior, especially for large times.

## Contribution

It introduces Strichartz estimates in Wiener amalgam spaces, offering a finer analysis of the Schrödinger propagator's behavior compared to classical Lebesgue space results.

## Key findings

- Improved Strichartz estimates for large time behavior.
- Enhanced understanding of local regularity and decay properties.
- Finer analysis enabled by Wiener amalgam space framework.

## Abstract

In this paper we study the Strichartz estimates for the Schr\"odinger propagator in the context of Wiener amalgam spaces which, unlike the Lebesgue spaces, control the local regularity of a function and its decay at infinity separately. This separability makes it possible to perform a finer analysis of the local and global behavior of the propagator. Our results improve some of the classical ones in the case of large time.