| Project/Area Number |
12640177
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Nara Women's University |
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Principal Investigator |
YAMAGUCHI Hiroshi Nara Women's Univ., Faculty of Science, Professor, 理学部, 教授 (20025406)
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| Co-Investigator(Kenkyū-buntansha) |
TAKAHASHI Sachiko Nara Women's Univ., Faculty of Science, Associate Professor, 理学部, 助教授 (60031689)
SAKAMOTO Reiko Nara Women's Univ., Faculty of Science, Professor, 理学部, 教授 (10031650)
MIYATAKE Sadao Nara Women's Univ., Faculty of Science, Professor, 理学部, 教授 (10025447)
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| Project Period (FY) |
2000 – 2001
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| Project Status |
Completed (Fiscal Year 2001)
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| Budget Amount *help |
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2001: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2000: ¥2,100,000 (Direct Cost: ¥2,100,000)
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| Keywords | Pseudo Connexity / Equilibrium Vector Potential / Hamilton Flow / Boundary Problem / Kolomogrow Problem / Bergman Metric / Riesy's Existence theerem / Navier-Stoke Problem / 平衡磁場ポテンシャル / ロバン定数 / ハミルトンーフロウ |
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| Research Abstract |
We try to throw a new light to the Modern Analysis through the classical physics. The followings are the results of our researches in 2000〜2002.
H. Yamaguchi essentially solved the problem passed by H. Po* (1896. Acter) for the Duilet-Newman problem by use of the equilibrium vector potential (which was introduced 1996).
R. Sakamoto found an amazing result that Riesy's Existence theerem conducts a natural approximate there for the weak solution.
S. Miyatake solved the problem passed by Kolomogrow concerning Navier-stoke problem, and also clasified the Hamilton ordinary differential equation and found a concrete construction of equation δu/*k + H(t, x, u, δu/*k)=0.
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