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Article Dans Une Revue Journal of the European Mathematical Society Année : 2014

Strichartz inequality for orthonormal functions

Résumé

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.

Dates et versions

hal-00831882 , version 1 (07-06-2013)

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Citer

Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb, Robert Seiringer. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society, 2014, 16, pp.1507-1526. ⟨10.4171/JEMS/467⟩. ⟨hal-00831882⟩
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