| Project/Area Number |
11640151
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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 | Gunma University |
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Principal Investigator |
IKEHATA Masaru Gunma University, Faculty of Engineering, Asscociate Professor, 工学部, 助教授 (90202910)
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| Co-Investigator(Kenkyū-buntansha) |
SAITOH Saburou Gunma University, Faculty of Engineering, Professor, 工学部, 教授 (10110397)
TANUMA Kazumi Osaka Kyoiku University, Faculty of Education, Asscociate Professor, 教育学部, 助教授 (60217156)
NAKAMURA Gen Gunma University, Faculty of Engineering, Professor, 工学部, 教授 (50118535)
AMOU Masaaki Gunma University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (60201901)
AMANO Kazuo Gunma University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (90137795)
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| Project Period (FY) |
1999 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2000: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1999: ¥1,600,000 (Direct Cost: ¥1,600,000)
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| Keywords | inverse problem / Cauchy problem / inverse boundary value problem / Dirichlet / Neumann / inverse conductivity problem / the probe method / inverse scattering problem / 散乱振幅 / 探針法 / 散乱抓幅 / Dirichlct-to-Neumann写像 / 逆源泉問題 / 導電率 |
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| Research Abstract |
We considered the problem of extracting several information about the coefficient in a uniformly elliptic equation in a bounded domain from the Cauchy data on the boundary of the domain of infinitely many solutions of the equation. We proposed three mathematical methods for the purpose. These are called the probe method, the enclosure method and the slice method. Applications to the Cauchy problem, the inverse scattering problem and the inverse conductivity problem in an unbounded domain are given.
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