Project/Area Number |
22540169
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Ibaraki University |
Principal Investigator |
|
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)
|
Co-Investigator(Renkei-kenkyūsha) |
SUZUKI Noriaki 名城大学, 理工学部, 教授 (50154563)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
|
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 / caloric morphism / Bateman変換 |
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.
|