# Strichartz inequality for orthonormal functions

Rupert Frank; Mathieu Lewin; Elliott H. Lieb; Robert Seiringer

Journal of the European Mathematical Society (2014)

- Volume: 016, Issue: 7, page 1507-1526
- ISSN: 1435-9855

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topFrank, Rupert, et al. "Strichartz inequality for orthonormal functions." Journal of the European Mathematical Society 016.7 (2014): 1507-1526. <http://eudml.org/doc/277287>.

@article{Frank2014,

abstract = {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.},

author = {Frank, Rupert, Lewin, Mathieu, Lieb, Elliott H., Seiringer, Robert},

journal = {Journal of the European Mathematical Society},

keywords = {Strichartz inequality for orthonormal functions; dispersive estimates; wave operators; trace ideals; Strichartz inequality for orthonormal functions; dispersive estimates; wave operators; trace ideals},

language = {eng},

number = {7},

pages = {1507-1526},

publisher = {European Mathematical Society Publishing House},

title = {Strichartz inequality for orthonormal functions},

url = {http://eudml.org/doc/277287},

volume = {016},

year = {2014},

}

TY - JOUR

AU - Frank, Rupert

AU - Lewin, Mathieu

AU - Lieb, Elliott H.

AU - Seiringer, Robert

TI - Strichartz inequality for orthonormal functions

JO - Journal of the European Mathematical Society

PY - 2014

PB - European Mathematical Society Publishing House

VL - 016

IS - 7

SP - 1507

EP - 1526

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 in a time-dependent potential and we show the existence of the wave operator in Schatten spaces.

LA - eng

KW - Strichartz inequality for orthonormal functions; dispersive estimates; wave operators; trace ideals; Strichartz inequality for orthonormal functions; dispersive estimates; wave operators; trace ideals

UR - http://eudml.org/doc/277287

ER -

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