| 研究課題/領域番号 |
19H01796
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| 研究機関 | 埼玉大学 |
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研究代表者 |
BEZ NEAL 埼玉大学, 理工学研究科, 教授 (30729843)
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| 研究分担者 |
杉本 充 名古屋大学, 多元数理科学研究科, 教授 (60196756)
中村 昌平 大阪大学, 大学院理学研究科, 助教 (30896121)
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| 研究期間 (年度) |
2019-04-01 – 2023-03-31
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| キーワード | Strichartz estimate / Orthonormal system / Pointwise convergence |
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| 研究実績の概要 |
Regarding the main goal of developing a fuller theory of Strichartz estimates for orthonormal systems of initial data, progress is ongoing. The focus has been mostly on certain boundary cases which were left open in previous work. In addition, progress is being made on extending the known results regarding Carleson's problem for fermions.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
Work towards the main goals of the research project is successfully moving forward. In addition, new research directions which have emerged during the course of the project, such as Carleson's problem for fermions, are also being fruitfully pursued. It should be said though that the effect of the pandemic has been felt in the sense that it is significantly more challenging to conduct deep research discussions with collaborators.
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| 今後の研究の推進方策 |
It is planned to continue work towards the main goals of the original reseach proposal and establish a satisfactory theory of Strichartz estimates for orthonormal systems. Work will also be carried out on Carleson's problem for fermions and it is expected that these projects can be completed in the short to medium term.
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