Strichartz inequality for orthonormal functions
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 SchrÃ¶dinger equation with a time-dependent potential and we show the existence of the wave operator in Schatten spaces.
16
7
1507 - 1526
1507 - 1526
European Mathematical Society