Geodesic
Strichartz inequality for orthonormal functions
Journal of the European Mathematical Society, Tome 16 (2014) no. 7, pp. 1507-1526

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/467
Classification : 35-XX, 47-XX, 81-XX
Keywords: Strichartz inequality for orthonormal functions, dispersive estimates, wave operators, trace ideals 
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     title = {Strichartz inequality for orthonormal functions},
     journal = {Journal of the European Mathematical Society},
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     publisher = {mathdoc},
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Rupert L. Frank; Mathieu Lewin; Elliott H. Lieb; Robert Seiringer. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society, Tome 16 (2014) no. 7, pp. 1507-1526. doi: 10.4171/jems/467

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