2012 Fiscal Year Final Research Report
The research of transformations which preserve the solutions of the heat equation and the wave equation.
| Project/Area Number |
22540169
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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 | Ibaraki University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
HORIUCHI Toshio 茨城大学, 理学部, 教授 (80157057)
NISHIO Masaharu 大阪市立大学, 理学研究科, 准教授 (90228156)
ANDO Hiroshi 茨城大学, 理学部, 講師 (60292471)
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| Co-Investigator(Renkei-kenkyūsha) |
SUZUKI Noriaki 名城大学, 理工学部, 教授 (50154563)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 熱方程式の解を保つ変換 / Appell変換 / 波動方程式の解を保つ変換 / ベイトマン変換 |
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| Research Abstract |
In this research, we studied the conformal mapping for general indefinite metric on semi-euclidean spaces, and the transformation which preserve the solutions of the associated hyperbolic equation. We determined the set of mappings and transformations, and also their explicit forms.
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