| Project/Area Number |
10440038
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (B)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Tokyo University of Fisheries |
|---|
Principal Investigator |
KAMIMURA Yutaka Tokyo University of Fisheries, Dept. of Fisheries, Professor, 水産学部, 教授 (50134854)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
HINO Yoshiyuki Chiba University, Dept. of Science, Professor, 理学部, 教授 (70004405)
SHIOTANI Nobuhira Tokyo University of Fisheries, Dept. of Fisheries, Professor, 水産学部, 教授 (30087415)
TSUBOI Kenji Tokyo University of Fisheries, Dept. of Fisheries, Associate Professor, 水産学部, 助教授 (50180047)
IWASAKI Katsunori Kyushu University, Faculty of Mathematics, Professor, 数理学研究科, 教授 (00176538)
HARAOKA Yoshishige Kumamoto Univeristy, Dept. of Science, Associate Professor, 理学部, 助教授 (30208665)
|
|---|
| Project Period (FY) |
1998 – 2001
|
| Project Status |
Completed (Fiscal Year 2001)
|
| Budget Amount *help |
¥6,700,000 (Direct Cost: ¥6,700,000)
Fiscal Year 2001: ¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2000: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1999: ¥2,300,000 (Direct Cost: ¥2,300,000)
|
|---|
| Keywords | nonlinear inverse problem / singular integral equation / Wiener-Hopf equation / inverse bifurcation problem / mathematical ecology / population dynamics / conductivity identification / 反応拡散方程式 / Wiener-Hopf作用素 / 非線型逆問題 / 熱伝導率 / 非線形微分方程式 / 積分方程式 / 非線形項 |
|---|
| Research Abstract |
Several nonlinear inverse problems in mathematical sciences are discussed : a friction coefficient identification problem, a nonlinearity identification problem in nonlinear oscillations, a time-dependent thermal conductivity identification problem, inverse bifurcation problem in mathematical ecology (nonlinear reaction kinetics identification problem in a diffusional model of population dynamics from the relation between growth rates and certain central densities of population distributions). A certain class of singular integral equations plays a principal role in our mathematical analysis of the inverse problems ; some existence results of the solutions to the integral equations are established and applied to the inverse problems.
|
