10.4171/JEMS/467
Frank, Rupert
Rupert
Frank
Lewin, Mathieu
Mathieu
Lewin
Lieb, Élliott
Élliott
Lieb
Seiringer, Robert
Robert
Seiringer
Strichartz inequality for orthonormal functions
European Mathematical Society
2014
2018-12-11T11:54:38Z
2019-08-02T12:37:30Z
journal_article
/record/1904
/record/1904.json
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.