TY - JOUR
AB - 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.
AU - Frank, Rupert
AU - Lewin, Mathieu
AU - Lieb, Élliott
AU - Seiringer, Robert
ID - 1904
IS - 7
JF - Journal of the European Mathematical Society
TI - Strichartz inequality for orthonormal functions
VL - 16
ER -