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

Abstract

top
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.

How to cite

top

Frank, 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.