Mitio Nagumo

Mitio Nagumo
Born (1905-05-07)7 May 1905
Yamagata Prefecture, Japan
Died 6 February 1995(1995-02-06) (aged 89)
Koganei, Tokyo, Japan
Nationality Japanese
Fields Mathematics
Institutions University of Osaka
Alma mater University of Tokyo
Doctoral advisor Takuji Yosie[1]
Known for Nagumo/Bony-Brezis theorem,
Nagumo’s uniqueness theorem

Mitio (Michio) Nagumo (Japanese: 南雲 道夫; May 7, 1905 February 6, 1995) was a Japanese mathematician, who specialized in the theory of differential equations. He gave the first necessary and sufficient condition for a closed set to be positively invariant under the flow induced by an ordinary differential equation (Nagumo/Bony-Brezis theorem).[2]

Biography

Mitio Nagumo graduated from the Department of Mathematics at the Imperial University of Tokyo in March 1928. In March 1931 he was appointed Lecturer at the Faculty of Technology in the Imperial University of Kyushu. In February 1932 he left Japan for an academic visit to Göttingen, where he remained for two years. Upon his return from Göttingen in March 1934 he was appointed Lecturer in the Department of Mathematics at the Imperial University of Osaka,[3] and was promoted to Associate Professor in September that year, becoming Professor at the Faculty of Science in March 1936. In March 1937 Nagumo received the degree of Doctor of Science from the Imperial University of Tokyo. In the 1960s he made a number of academic visits abroad, spending time at the Courant Institute of Mathematical Sciences (where he visited Kurt Friedrichs and other old acquaintances from his time at Göttingen) and the Federal University of Rio Grande do Sul in 1960 and the National Tsing Hua University in 1963-64. He retired from Osaka University in December 1966, after which he was granted the title of Honorary Professor. He was subsequently appointed Professor at Sophia University, from which he retired in March 1976, having reached mandatory retirement age.[1]

Much of Nagumo's original work was published in Japanese and German,[1] however his research and teaching have influenced numerous mathematicians (especially in Japan) who have since made many of his results available in English.[4]

Works

Literature

References

  1. 1 2 3 Yamaguti, Masaya; Nirenberg, Louis; Mizohata, Sigeru; Sibuya, Yasutaka (1993). Mitio Nagumo Collected Papers. Springer Japan. pp. 462–465. ISBN 978-4431549338.
  2. Blanchini, Franco (1999), "Survey paper: Set invariance in control", Automatica (Journal of IFAC), 35 (11): 1747–1767, doi:10.1016/S0005-1098(99)00113-2
  3. Yosida, K (1966), "Mitio Nagumo" (PDF), Funkcialaj Ekvacioj, 6 (Esperanto)
  4. Hsieh, Po-Fang; Sibuya, Yasutaka (June 1999). Basic Theory of Ordinary Differential Equations. Springer. ISBN 9781461215066.
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