HITOSHI ISHII

J-GLOBAL         Last updated: Oct 7, 2019 at 17:11
 
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Name
HITOSHI ISHII
E-mail
hitoshi.ishiiwaseda.jp
URL
http://www.f.waseda.jp/hitoshi.ishii/
Affiliation
Tsuda University
Section
Institute for Mathematics and Computer Science
Job title
Research Fellow
Degree
Dr. Science(Waseda University), Ms. Science(Waseda University)
Other affiliation
Waseda University
Research funding number
70102887

Research Areas

 
 

Academic & Professional Experience

 
Apr 2018
 - 
Today
Tsuda University, Research Fellow
 
Apr 2018
 - 
Today
Waseda University, Professor Emeritus
 
May 2019
 - 
May 2019
Visiting Professor, Department of Mathematics, Sapienza University of Rome
 
May 2018
 - 
May 2018
Visiting Professor, Department of Mathematics, Sapienza University of Rome
 
Apr 2001
 - 
Mar 2018
Waseda University, Professor
 

Education

 
 
 - 
1970
Faculty of Science and Engineering, Waseda University
 
 
 - 
1975
Graduate School, Division of Science and Engineering, Waseda University
 

Committee Memberships

 
2011
 - 
Today
Journal de Mathematiques Pures et Appliquees  Editor
 
2011
 - 
Today
Bulletin of Mathematical Sciences  Editor
 
2008
 - 
Today
Advances in Calculus of Variations  Editor
 
2000
 - 
Today
Nonlinear Differential Equations and Applications  Editor
 
Jul 2018
 - 
Jul 2019
New trends in Hamilton-Jacobi: PDE, Control, Dynamical Systems and Geometry  Scientific Committee.
 

Awards & Honors

 
Sep 2019
Viscosity solution theory for fully nonlinear partial differential equations, Kodaira Kunihiko Prize, Mathematical Society of Japan
 
Nov 2017
Founding of the viscous solution theory of nonlinear partial differential equations and its application, Okuma Memorial Academic Commemorative Prize, Waseda University
 
Jan 2012
Fellow, American Mathematical Society
 
Sep 1994
Autumn Prize, Mathematical Society of Japan
 
2002
Highly cited researcher, Thompson ISI
 

Published Papers

 
Vanishing contact structure problem and convergence of the viscosity solutions
Chen, Qinbo; Cheng, Wei; Ishii, Hitoshi; Zhao, Kai
Comm. Partial Differential Equations   44(9) 801-836   2019   [Refereed]
Isabeau Birindelli, Giulio Galise, Hitoshi Ishii
Ann. Inst. H. Poincaré Anal. Non Linéaire   35(2) 417-441   2018   [Refereed]
On the Langevin equation with variable friction
Hitoshi Ishii, Panagiotis E. Souganidis, Hung V. Tran
Calc. Var. Partial Differential Equations   56(6)    2017   [Refereed]
Hitoshi Ishii, Hiroyoshi Mitake, Hung V. Tran
J. Math. Pures Appl. (9)   108(2) 125-249   2017   [Refereed]
Hitoshi Ishii, Hiroyoshi Mitake, Hung V. Tran
J. Math. Pures Appl. (9)   108(3) 261-305   2017   [Refereed]
Metastability for parabolic equations with drift: Part II. The quasilinear case
Indiana Univ. Math. J.   66(1) 315-367   2017   [Refereed]
On viscosity solution of HJB equations with state constraints and reflection control
Anup Biswas, Hitoshi Ishii, Subhamay Saha, Lin Wang
SIAM J. Control Optim.   55(1) 365-396   2017   [Refereed]
Hitoshi Ishii, Panagiotis E. Souganidis
Indiana Univ. Math. J.   64(3) 875-913   2015   [Refereed]
Norihisa Ikoma, Hitoshi Ishii
Bull. Math. Sci.   5(3) 451-510   2015   [Refereed][Invited]
Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M. Younas
Proc. Roy. Soc. Edinburgh Sect. A   146(2) 225-242   2015   [Refereed]
Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M. Younas
Math. Nachr.   287(14-15) 1563-1588   2014   [Refereed]
Guy Barles, Hitoshi Ishii, Hiroyoshi Mitake
Bull. Math. Sci.   3(3) 363-388   2013   [Refereed][Invited]
Hitoshi Ishii
Lecture Notes in Mathematics, 2074. Fondazione CIME/CIME Foundation Subseries   2074 111-249   2013   [Refereed][Invited]
Hitoshi Ishii, Panagiotis E. Souganidis
J. Differential Equations   252(2) 1748-1775   2012   [Refereed]
Guy Barles, Hitoshi Ishii, Hiroyoshi Mitake
Arch. Ration. Mech. Anal.   204(2) 515-558   2012   [Refereed]
Uniqueness sets for minimization formulas
Yasuhiro Fujita, Hitoshi Ishii
Differential Integral Equations   25(5-6) 579-588   2012   [Refereed]
Norihisa Ikoma, Hitoshi Ishi
Ann. Inst. H. Poincaré Anal. Non Linéaire   29(5) 783-812   2012   [Refereed]
H. Ishii
J. Math. Pures Appl.   95(1) 99-135   2011   [Refereed]
H. Ishii
Calc. Var. Partial Differential Equations   42(1-2) 189-209   2011   [Refereed]
H. Ishii
Ann. Inst. H. Poincare Anal. Non Lineaire   25 231-266   2008

Books etc

 
プリンストン数学大全
HITOSHI ISHII (Part:Joint Translation)
朝倉書店   Nov 2015   
Hamilton-Jacobi equations: approximations, numerical analysis and applications
HITOSHI ISHII (Part:Joint Work, pp. 111–249)
Springer, Heidelberg; Fondazione C.I.M.E.   2013   
応用解析ハンドブック
HITOSHI ISHII (Part:Joint Work, pp. 311-374)
シュプリンガー・ジャパン   Feb 2010   
Recent progress on reaction-diffusion systems and viscosity solutions
HITOSHI ISHII (Part:Joint Editor)
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ   2009   

Conference Activities & Talks

 
Developments of the theory of viscosity solutions for nonlinear partial differential equations [Invited]
HITOSHI ISHII
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   22 Sep 2019   
The vanishing discount problem for weakly coupled systems of Hamilton-Jacobi equations [Invited]
HITOSHI ISHII
4th Swiss-Japanese PDE seminar   4 Sep 2019   
The vanishing discount problem for weakly coupled systems of Hamilton-Jacobi equations [Invited]
HITOSHI ISHII
New trends in Hamilton-Jacobi: PDE, Control, Dynamical Systems and Geometry   1 Jul 2019   
The Dirichlet problem for truncated Laplacians [Invited]
HITOSHI ISHII
The Peoples' Friendship University of Russia,   18 Apr 2019   
Asymptotic problems for the Langevin equation with variable friction [Invited]
HITOSHI ISHII
The Peoples' Friendship University of Russia,   16 Apr 2019   
The vanishing discount problem for Hamilton-Jacobi equations [Invited]
HITOSHI ISHII
応用解析研究会   6 Apr 2019   
The vanishing discount problem for Hamilton-Jacobi equations in Euclidean n space [Invited]
HITOSHI ISHII
PDEs at Valparaiso, a conference in honor of Patricio Felmer's 60th birthday   12 Dec 2018   
The vanishing discount problem for Hamilton-Jacobi equations in Euclidean n space [Invited]
HITOSHI ISHII
From Optimal Control to Maximum Principle   13 Sep 2018   
Two asymptotic problems concerning the Langevin equation with variable friction [Invited]
HITOSHI ISHII
The tenth meeting on Probability and PDE, Tsuda University,   20 Aug 2018   
The Langevin equation with variable friction and Smoluchowski-Kramers approximation [Invited]
HITOSHI ISHII
12th AIMS Conference NTU   9 Jul 2018   
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
HITOSHI ISHII
12th AIMS Conference NTU   6 Jul 2018   
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs [Invited]
HITOSHI ISHII
Nanjing University   21 Jun 2018   
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs [Invited]
HITOSHI ISHII
Seminari di Analisi Matematica, Universita di Bologna   29 May 2018   
Asymptotic problems for the Langevin equation with variable friction [Invited]
HITOSHI ISHII
Seminario di Analisi Matematica, Sapienza Universita di Roma   14 May 2018   
Asymptotic problems for Hamilton-Jacobi equations and weak KAM theory [Invited]
HITOSHI ISHII
Wolfgang Wasow Lectures, University of Wisconsin-Madison   25 Apr 2018   
The Langevin equation with variable friction and Smoluchowski-Kramers approximation [Invited]
HITOSHI ISHII
81st Midwest PDE Seminar   21 Apr 2018   
The Langevin equation with variable friction and Smoluchowski-Kramers approximation [Invited]
HITOSHI ISHII
Royal Institue of Technology, Sweden   26 Sep 2017   
The Langevin equation and Smoluchowski-Kramers approximation with variable friction [Invited]
HITOSHI ISHII
Seminar at Fudan University   3 Aug 2017   
The Langevin equation and Smoluchowski-Kramers approximation with variable friction [Invited]
HITOSHI ISHII
Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics, RIMS   4 Jul 2017   
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs [Invited]
HITOSHI ISHII
Mostly Maximum Principle at BIRS , Canada   4 Mar 2017   
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs [Invited]
HITOSHI ISHII
Beyond Hamilton-Jacobi, Last call to Bordeaux   9 Jan 2017   
Viscosity solutions and asymptotic problrms [Invited]
HITOSHI ISHII
18 Sep 2016   
The vanishing discount problem and generalized Mather measures [Invited]
HITOSHI ISHII
AMCS Seminar at KAUST   23 Aug 2016   
A boundary value problem of the Neumann type for elliptic equations on the positive orthant [Invited]
HITOSHI ISHII
Mostly Maximum Principle at Agropoli, Italy   16 Aug 2015   
Metastability for parabolic equations with drift [Invited]
HITOSHI ISHII
Nonlinear Elliptic PDEs at the End of the World, Chile   3 May 2015   
Metastability for parabolic equations with drift [Invited]
HITOSHI ISHII
Beyond Hamilton-Jacobi in Avignon, Palais des Papes,   26 Apr 2014   
Large time behavior of solutions of Hamilton-Jacobi equations with Neumann type BC [Invited]
HITOSHI ISHII
Dynamical Optimization in PDE and Geometry, Universite Bordeaux 1   19 Dec 2011   
Small stochastic perturbations of Hamiltonian flows: a PDE approach [Invited]
HITOSHI ISHII
DFDE 2011, The Peoples' Friendship University of Russia,   15 Aug 2011   
Stochastic Perturbations to Hamiltonian Flows: a PDE approach [Invited]
HITOSHI ISHII
14th Riviere-Fabes symposium, University of Minessotta   17 Apr 2011   
Long-time behavior of solutions of Hamilton-Jacobi equations with Neumann type boundary conditions [Invited]
HITOSHI ISHII
14th Riviere-Fabes symposium, University of Minessotta   16 Apr 2011   
格子転位モデルに現れる 非局所ハミルトン・ヤコビ方程式について
HITOSHI ISHII
日本数学会秋季総合分科会(函数方程式分科会) 大阪大学   26 Sep 2009   
Nonlocal Hamilton-Jacobi Equations Arising in Dislocation Dynamics [Invited]
HITOSHI ISHII
Nonlinear Analysis Workshop at ANU, Australia   23 Mar 2009   
Nonlinear singular integral equations and approximation of p-Laplace equations [Invited]
HITOSHI ISHII
2nd International Conference on Reaction-Diusion Systems & Viscosity Solutions at Providence University, Taiwan   14 Jul 2008   
Asymptotic solutions of Hamilton–Jacobi equations for large time and related topics [Invited]
HITOSHI ISHII
ICIAM   19 Jul 2007   
Asymptotic solutions for large time of Hamilton-Jacobi equations [Invited]
HITOSHI ISHII
ICM   26 Aug 2006   

Research Grants & Projects

 
Discount rate and international environmental agreement in climate changeOngoing
日本学術振興会: 科学研究費助成事業(基盤研究(B))
Project Year: Apr 2018 - Mar 2021    Investigator(s): KEN-ICHI AKAKO
New developments of the theory of viscosity solutions and its applications
日本学術振興会: 科学研究費助成事業(基盤研究(B))
Project Year: Apr 2016 - Mar 2020    Investigator(s): HITOSHI ISHII
Deepening of the theory of viscosity solutions and its applications
日本学術振興会: 科学研究費助成事業(基盤研究(A))
Project Year: Apr 2011 - Mar 2016    Investigator(s): HITOSHI ISHII
RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
日本学術振興会: 科学研究費助成事業(基盤研究(A))
Project Year: Apr 2006 - Mar 2010    Investigator(s): HITOSHI ISHII
Study on periodicity and almost periodicity of solutions of nonlinear partial differential equations
A study of Hamilton-Jacobi equations
Some investigations on Riemann surfaces
On spectrum of Riemannian manifold
A study on nonlinear degenerate elliptic partial differential equations
On the deformations of cyclic Galois coverings of algebraic curves
Initial value problem for partial differential equations
Comprehensive Researches of Differential Equations
Study of irregular singularities of differential equations
Deformation theory of group schemes and Construction of extensions
Synthetic study on differential equations
Joint Study on Viscosity Solutions and Their Applications
Study on singular perturbation problem for Hamilton-Jacobi equation
Applications to the optimal control and differential game via the viscosity solution theory
Nonlinear Evolution Equations and Elliptic Equations
Theory and applications of viscosity solutions
Free boundary problems in potential theory
Phase transition and free boundary problem
Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems
Changes of configuration in free boundary problems
Study on Optimal Controls and Differential Games via the Viscosity Solution Theory
Study on Nonlinear Evolution Equations and Nonlinear Elliptic Equations
Research on viscosity solutions of differential equations and their applications
Bellman equations of risk-sensitive stochastic and their applications
Nonlinear elliptic and parabolic PDEs, theories and applications
Viscosity solutions and variational problems
Research on the theory of viscosity solutions and its applications
Synthetic study for nonlinear evolution equations and eonlinear elliptic equations
On the study of the theory of viscosity solutions and its new developments
Expected utility maximiaation problems and stochastic control
Study on asymptotic solutions of Hamilton-Jacobi equations based on the theory of viscosity solutions
Structures created and preserved in nonlinear diffusion field
Development of the methods of stochastic control and filtering in mathematical finance
Viscosity solution theory for fully nonlinear equations and its applications
Development of Analysis on Evolving Pattern for Complicated Phenomena
Synthetic study of nonlinear evolution equation and its related topics
Fundamental theory for viscosity solutions of fully nonlinear equations and its applications
Advanced Analysis on Evolving Patterns in Nonlinear Phenomena Driven by Singular Structure