--- res: bibo_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 with a time-dependent potential and we show the existence of the wave operator in Schatten spaces.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Rupert foaf_name: Frank, Rupert foaf_surname: Frank - foaf_Person: foaf_givenName: Mathieu foaf_name: Lewin, Mathieu foaf_surname: Lewin - foaf_Person: foaf_givenName: Élliott foaf_name: Lieb, Élliott foaf_surname: Lieb - foaf_Person: foaf_givenName: Robert foaf_name: Seiringer, Robert foaf_surname: Seiringer foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-6781-0521 bibo_doi: 10.4171/JEMS/467 bibo_issue: '7' bibo_volume: 16 dct_date: 2014^xs_gYear dct_language: eng dct_publisher: European Mathematical Society@ dct_title: Strichartz inequality for orthonormal functions@ ...