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A note on Strichartz estimates for the wave equation with orthonormal initial data

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arxiv 2306.14547 v1 pith:HRAFQBHX submitted 2023-06-26 math.AP math.CA

Neal Bez , Shinya Kinoshita , Shobu Shiraki This is my paper · ORCID
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This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to be a reasonable conjecture regarding the cases which have been left open. We also provide some new results in the maximal-in-space boundary cases.

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Cited by 2 Pith papers

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  1. Maximal estimates for orthonormal systems of wave equations with sharp regularity

    math.AP 2025-08 conditional novelty 7.0 of 10

    In d=3, the maximal estimate (1.8) is proved for all s > max{s_d(q), s_d(2β)}, confirming the conjecture; sharp β-ranges are also obtained for d≥4 and d=2.

  2. Maximal estimates for orthonormal systems of wave equations

    math.AP 2025-08 conditional novelty 7.0 of 10

    New partial ranges are proven for maximal estimates of wave operators acting on orthonormal families, via Wolff-type sphere-intersection bounds.

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