ISHII HITOSHI

イシイヒトシ | ISHII HITOSHI

Affiliation and department：
Job title： Research Fellow
Other affiliations (3)：

Waseda University Institute for Advanced Social Sciences Adjunct researcher
Waseda University Waseda Research Institute for Science and Engineering Adjunct researcher
Waseda University Professor emeritus

Homepage URL (1)： https://hitoshi.ishii.w.waseda.jp/

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 (240)：

Isabeau Birindelli, Giulio Galise, Hitoshi Ishii. Propagation of minima for nonlocal operators. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2024
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
Davini, A., Ishii, H., Iturriaga, R., Morgado, H.S. 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
Birindelli, I., Galise, G., Ishii, H. Existence through convexity for the truncated Laplacians. Mathematische Annalen. 2021. 379. 3-4. 909-950

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MISC (7)：

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
Ishii Hitoshi, Sato Moto-Hiko. Capillary problem for singular degenerate parabolic equations in a general domain. RIMS Kokyuroku. 1996. 973. 81-95

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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)

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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 (15)：

2018/04 - 現在 Tsuda University, Research Fellow
2018/04 - 現在 Waseda University, Professor Emeritus
2022/04 - 2022/05 Sapienza University of Rome Department of Mathematics Visiting Professor
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

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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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