Hitoshi Ishii

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Hitoshi Ishii ( Japanese 石井 仁 司 , Ishii Hitoshi ; born October 12, 1947 ) is a Japanese mathematician who deals with partial differential equations.

Ishii first studied physics and then mathematics at Waseda University in Tokyo with a diploma in 1972 and a doctorate in 1975 ( 偏微分 方程式 の 初期 値 問題 の LP 可 解 性 及 び 一 意 性 , dt. “LP solvability and uniqueness of the problem of Initial value of partial differential equations "). He was from 1976 assistant professor at the Chūō University in Tokyo and from 1989 professor. In 1996 he became a professor at Tokyo Metropolitan University and from 2001 he was professor at Waseda University.

He deals with nonlinear partial differential equations (PDE) such as the Hamilton-Jacobi equation , viscosity solutions of PDEs, optimal control theory, differential games and the evolution of surfaces.

In 1987/88 he was visiting professor at Brown University , 2011 at the Collège de France and 2010 at the University of Chicago . From 2011 to 2014 he was an adjunct professor at King Abdulaziz University .

In 1993 and 1995 he received the Autumn Prize of the Japanese Mathematical Society . In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Asymptotic solutions for large time of Hamilton-Jacobi equations ) and he was invited speaker at the 7th International Congress on Industrial and Applied Mathematics (ICIAM) 2007 in Zurich.

He is a fellow of the American Mathematical Society .

Fonts

  • with Michael Crandall , Pierre-Louis Lions : User's guide to viscosity solutions of second order partial differential equations . Bulletin AMS, Vol. 27, 1992, 1-67
  • with Pierre-Louis Lions: Viscosity solutions of fully nonlinear second-order elliptic partial differential equations . Journal of Differential Equations, Vol. 83, 1990, pp. 26-78
  • On uniqueness and existence of viscosity solutions of fully nonlinear second order elliptic PDE's . Communications on pure and applied mathematics 42, 1989, pp. 15-45
  • Perron's method for Hamilton-Jacobi equations . Duke Math. J., 55, 1987, 369-384

Web links

Individual evidence

  1. ↑ Entry 000008558358 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
  2. ↑ Information from McTutor , according to his homepage he received it in 1994
personal data
SURNAME Ishii, Hitoshi
ALTERNATIVE NAMES 石井仁 司 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH October 12, 1947