2022 Fiscal Year Annual Research Report
New perspectives on space-time estimates for dispersive equations
| Project/Area Number |
19H01796
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| Research Institution | Saitama University |
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Principal Investigator |
BEZ NEAL 埼玉大学, 理工学研究科, 教授 (30729843)
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| Co-Investigator(Kenkyū-buntansha) |
中村 昌平 大阪大学, 大学院理学研究科, 助教 (30896121)
杉本 充 名古屋大学, 多元数理科学研究科, 教授 (60196756)
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| Project Period (FY) |
2019-04-01 – 2023-03-31
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| Keywords | Strichartz estimate / Orthonormal system / Pointwise convergence |
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| Outline of Annual Research Achievements |
Progress has been made on developing our understanding of Strichartz estimates for orthonormal systems of initial data. Motivation to study such estimates arises from a desire to understand the dynamics of a system of infinitely many fermions. Also, progress has been made on Carleson's problem for infinitely particles. This is concerned with pointwise convergence to the initial data as time goes to zero and ultimately relies on maximal-in-time estimates for density operators.
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| Research Progress Status |
令和4年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
令和4年度が最終年度であるため、記入しない。
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