Strichartz inequality for orthonormal functions

Rupert L. Frank, Mathieu Lewin, Élliott H. Lieb, Robert Seiringer

Type: Article

Publication Date: 2014-08-23

Citations: 61

DOI: https://doi.org/10.4171/jems/467

Abstract

We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation in a time-dependent potential and we show the existence of the wave operator in Schatten spaces.

Locations

arXiv (Cornell University) - View - PDF
CaltechAUTHORS (California Institute of Technology) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Journal of the European Mathematical Society - View - PDF

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