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arXiv · 1801.08309

The orthonormal Strichartz inequality on torus

Shohei Nakamura
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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.

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Shohei Nakamura. 2018-01-25. The orthonormal Strichartz inequality on torus. https://arxiv.org/abs/1801.08309

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