The orthonormal Strichartz inequality on torus

2018/01/25 by Shohei Nakamura, Nakamura, Shohei · 3 citations
Mathematics · #35B45 (primary) #35B65 (secondary) #35P10 #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1801.08309

openalex publication_date 2018/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, motivated by recent important works due to Frank-Lewin-Lieb-Seiringer \citeFLLS and Frank-Sabin \citefrank-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.

Citations

• On the Strichartz estimates for orthonormal systems of initial data with regularity

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