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J-GLOBAL ID：200901075866429365   Update date: Feb. 01, 2024

ISHII HITOSHI

イシイ ヒトシ | ISHII HITOSHI
Affiliation and department：
Tsuda University Institute for Mathematics and Computer Science

About Tsuda University Institute for Mathematics and Computer Science


Job title： Research Fellow
Other affiliations (1)：
  • Waseda University  Professor emeritus
Homepage URL  (1)： http://www.f.waseda.jp/hitoshi.ishii/
Research field  (4)： Applied mathematics and statistics ,  Basic mathematics ,  Mathematical analysis ,  Basic analysis
Research keywords  (8)： degenerate elliptic equations ,  asymptotic problems ,  Hamilton-Jacobi equations ,  fully nonlinear elliptic equations ,  curvature flows ,  theory of viscosity solutions ,  Optimal Control ,  Partial Differential Equations
Research theme for competitive and other funds  (76)：
  • 2021 - 2025 Dynamic game analysis of international environmental agreements
  • 2020 - 2025 Regularity theory for viscosity solutions of fully nonlinear equations and its applications
  • 2020 - 2023 Advancement in viscosity solution theory: asymptotic and boundary value problems
  • 2018 - 2021 Discount rate and international environmental agreement in climate changeOngoing
  • 2016 - 2020 New developments of the theory of viscosity solutions and its applications
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Papers (233)：
  • Hitoshi Ishii, Taiga Kumagai. Nonlinear Neumann Problems for Fully Nonlinear Elliptic PDEs on a Quadrant. SIAM Journal on Mathematical Analysis. 2022. 54. 6. 5854-5887
  • Andrea Davini, Hitoshi Ishii, Renato Iturriaga, Hector Sanchez Morgado. Discrete approximation of the viscous HJ equation. Stochastics and Partial Differential Equations: Analysis and Computations. 2021. 9. 4. 1081-1104
  • Hitoshi Ishii, Kaizhi Wang, Lin Wang, Jun Yan. Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown. Communications in Partial Differential Equations. 2021. 1-36
  • I. Birindelli, G. Galise, H. Ishii. Existence through convexity for the truncated Laplacians. Mathematische Annalen. 2021. 379. 3-4. 909-950
  • Hitoshi Ishii. The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling. Mathematics in Engineering. 2021. 3. 4. 1-21
ｍore...
MISC (6)：
  • Ishii Hitoshi. ASYMPTOTIC SOLUTIONS FOR LARGE-TIME OF HAMILTON-JACOBI EQUATIONS IN EUCLIDEAN $n$ SPACE(Viscosity Solution Theory of Differential Equations and its Developments). RIMS Kokyuroku. 2007. 1545. 140-160
  • Ishii Hitoshi. ASYMPTOTIC SOLUTIONS OF HAMILTON-JACOBI EQUATIONS IN THE WHOLE EUCLIDEAN SPACE(Viscosity Solution Theory of Differential Equations and its Developments). RIMS Kokyuroku. 2006. 1481. 134-140
  • Ishii Hitoshi. A NOTE ON THE HOMOGENIZATION OF FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS (Viscosity Solution Theory of Differential Equations and its Developments). RIMS Kokyuroku. 2005. 1428. 143-149
  • Ishii Hitoshi, Loreti Paola. Relaxation in the Cauchy problem for Hamilton-Jacobi equations (Viscosity Solution Theory of Differential Equations and its Developments). RIMS Kokyuroku. 2005. 1428. 58-71
  • 石井 仁司. 非線形偏微分方程式の粘性解--その理論と応用. 数理科学. 1995. 33. 7. p72-76
ｍore...
Books (4)：
  • プリンストン数学大全
    朝倉書店 2015
  • Hamilton-Jacobi equations: approximations, numerical analysis and applications
    Springer, Heidelberg; Fondazione C.I.M.E. 2013
  • 応用解析ハンドブック
    シュプリンガー・ジャパン 2010
  • Recent progress on reaction-diffusion systems and viscosity solutions
    World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ 2009
Lectures and oral presentations  (35)：
  • Developments of the theory of viscosity solutions for nonlinear partial differential equations
    (第1回日本数学会賞小平邦彦賞 授賞式および受賞講演会 2019)
  • The vanishing discount problem for weakly coupled systems of Hamilton-Jacobi equations
    (4th Swiss-Japanese PDE seminar 2019)
  • The vanishing discount problem for weakly coupled systems of Hamilton-Jacobi equations
    (New trends in Hamilton-Jacobi: PDE, Control, Dynamical Systems and Geometry 2019)
  • The Dirichlet problem for truncated Laplacians
    (The Peoples' Friendship University of Russia, 2019)
  • Asymptotic problems for the Langevin equation with variable friction
    (The Peoples' Friendship University of Russia, 2019)
ｍore...
Education (2)：
  • - 1975 Waseda University Graduate School, Division of Science and Engineering
  • - 1970 Waseda University Faculty of Science and Engineering
Professional career (3)：
  • Dr. Science (Waseda University)
  • Ms. Science (Waseda University)
  • 理学博士 (早稲田大学)
Work history (14)：
  • 2018/04 - 現在 Tsuda University, Research Fellow
  • 2018/04 - 現在 Waseda University, Professor Emeritus
  • 2019/05 - 2019/05 Sapienza University of Rome Department of Mathematics Visiting Professor
  • 2018/05 - 2018/05 Sapienza University of Rome Department of Mathematics Visiting Professor
  • 2001/04 - 2018/03 Waseda University, Professor
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Committee career (8)：
  • 2011 - 現在 Journal de Mathematiques Pures et Appliquees 編集委員
  • 2008 - 現在 Advances in Calculus of Variations 編集委員
  • 2000 - 現在 Nonlinear Differential Equations and Applications 編集委員
  • 2018/07 - 2019/07 New trends in Hamilton-Jacobi: PDE, Control, Dynamical Systems and Geometry Scientific Committee.
  • 2011 - 2018 Bulletin of Mathematical Sciences 編集委員
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Awards (5)：
  • 2019/09 - Mathematical Society of Japan Kodaira Kunihiko Prize Viscosity solution theory for fully nonlinear partial differential equations
  • 2017/11 - Waseda University Okuma Memorial Academic Commemorative Prize Founding of the viscous solution theory of nonlinear partial differential equations and its application
  • 2012/01 - American Mathematical Society Fellow
  • 2002 - Thompson ISI Highly cited researcher
  • 1994/09 - Mathematical Society of Japan Autumn Prize
Association Membership(s) (4)：
日本応用数理学会 ,  アメリカ数学会 ,  THE MATHEMATICAL SOCIETY OF JAPAN ,  American Mathematical Society
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