| Project/Area Number |
24540158
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Ibaraki University |
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Principal Investigator |
OKA Hirokazu 茨城大学, 工学部, 教授 (90257254)
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| Co-Investigator(Kenkyū-buntansha) |
HIRASAWA Gou 茨城大学, 工学部, 教授 (10434002)
UEKI Sei-ichirou 茨城大学, 工学部, 准教授 (70512408)
HOSOKAWA Takuya 茨城大学, 工学部, 准教授 (90553579)
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| Co-Investigator(Renkei-kenkyūsha) |
TANAKA Naoki 静岡大学, 理学部, 教授 (00207119)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | quasilinear equation / 半閉作用素 / DeBranges空間 / Fock型空間 / Volterra型積分作用素 / 合成作用素 / 解析関数空間 / Hardy空間 / Favard class / DeBranges 空間 / 荷重合成作用素 / ベルグマン空間 / 発展方程式 / 半線形発展方程式 / 移流拡散方程式系 / ボルテラ方程式 / Bergman空間 / 荷重付き合成作用素 / べきコンパクト |
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| Outline of Final Research Achievements |
Although the equations to be studied were often individually considerd while taking advantage of the characteristics of the equations, in this study we tried to find a systematic nature from its individual considerations, and construct a unified well-posedness theory for the equations to be studied. Specifically, we tried to establsh abstract theory for the evolution equation and studied its related reseach topics. Moreover, we carried out research from the point of view of analytic function space, Hibert space and Hardy space which are important function spaces as a place where equation works.
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