The orthonormal Strichartz inequality on torus
Functional Analysis
2018-01-26 v1
Abstract
In this paper, motivated by recent important works due to Frank-Lewin-Lieb-Seiringer \cite{FLLS} and Frank-Sabin \cite{frank-sabin-1}, we study the Strichartz inequality on torus with the orthonormal system input and obtain sharp estimates in certain sense. An application of the inequality shows the well-posedness to the periodic Hartree equation describing the infinitely many quantum particles with the power type interaction.
Keywords
Cite
@article{arxiv.1801.08309,
title = {The orthonormal Strichartz inequality on torus},
author = {Shohei Nakamura},
journal= {arXiv preprint arXiv:1801.08309},
year = {2018}
}