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 
@article{JEMS_2014_16_7_a5,
     author = {Rupert L. Frank and Mathieu Lewin and Elliott H. Lieb and Robert Seiringer},
     title = {Strichartz inequality for orthonormal functions},
     journal = {Journal of the European Mathematical Society},
     pages = {1507--1526},
     publisher = {mathdoc},
     volume = {16},
     number = {7},
     year = {2014},
     doi = {10.4171/jems/467},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/467/}
}
TY  - JOUR
AU  - Rupert L. Frank
AU  - Mathieu Lewin
AU  - Elliott H. Lieb
AU  - Robert Seiringer
TI  - Strichartz inequality for orthonormal functions
JO  - Journal of the European Mathematical Society
PY  - 2014
SP  - 1507
EP  - 1526
VL  - 16
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/467/
DO  - 10.4171/jems/467
ID  - JEMS_2014_16_7_a5
ER  - 
%0 Journal Article
%A Rupert L. Frank
%A Mathieu Lewin
%A Elliott H. Lieb
%A Robert Seiringer
%T Strichartz inequality for orthonormal functions
%J Journal of the European Mathematical Society
%D 2014
%P 1507-1526
%V 16
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/467/
%R 10.4171/jems/467
%F JEMS_2014_16_7_a5
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. http://geodesic.mathdoc.fr/articles/10.4171/jems/467/

Cité par Sources :