| Project/Area Number |
19540202
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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 | Ryukoku University |
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Principal Investigator |
MATSUMOTO Waichiro Ryukoku University, 理工学部, 教授 (40093314)
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| Co-Investigator(Kenkyū-buntansha) |
YOTSUTANI Shoji 龍谷大学, 理工学部, 教授 (60128361)
ITO Toshikazu 龍谷大学, 経済学部, 教授 (60110178)
NINOMIYA Hirokazu 明治大学, 理工学部, 准教授 (90251610)
NISHITANI Tatsuo 大阪大学, 理学研究科, 教授 (80127117)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 南雲型のCauchy=Kowalevskayaの定理 / 擬Jordan標準形 / 系の行列式理論 / p-parabolic system / 強双曲系 / 超弱双曲系 / 南雲型のCauchy-Kowalevskayaの定理 / 擬Jordan型の標準形 / Jordan型の擬標準形 |
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| Research Abstract |
(1) We have shown that, for the Cauchy=Kowalevskaya theorem on a system, it is necessary that the system is similar to Kowalevskian accepting poles on symbols. On the sufficiency, we have succeeded to prove it on some models, but we need refine on the normal form in order to treat the general case. (2) On the systems with coefficients depending only on the time variable, it is necessary and sufficient for the strong hyperbolicity that the system is uniformly diagonalizable as a hyperbolic Fuchsian. (3) The study under the new definition of the p-parabolic system is not satisfactory.
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