| 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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| 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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