Education

1975
Waseda University Graduate School, Division of Science and Engineering

1970
Waseda University Faculty of Science and Engineering
Details of a Researcher
Updated on 2022/01/24
Waseda University Graduate School, Division of Science and Engineering
Waseda University Faculty of Science and Engineering
Waseda University Dr. Science
Waseda University Ms. Science
早稲田大学 理学博士
Tsuda University, Research Fellow
Waseda University, Professor Emeritus
Sapienza University of Rome Department of Mathematics Visiting Professor
Sapienza University of Rome Department of Mathematics Visiting Professor
Waseda University, Professor
King Abdulaziz University, Adjunct Professor
College de France, Visiting Professor
University of Chicago、Visiting Professor
Tokyo Metropolitan University, Professor
Tokyo Metropolitan University, Professor
Chuo University, Professor
Chuo University, Associate Professor
Chuo University, Lecturer
Waseda University, Research Associate
日本応用数理学会
アメリカ数学会
THE MATHEMATICAL SOCIETY OF JAPAN
American Mathematical Society
Applied mathematics and statistics
Basic mathematics
Mathematical analysis
Basic analysis
degenerate elliptic equations
asymptotic problems
HamiltonJacobi equations
fully nonlinear elliptic equations
curvature flows
theory of viscosity solutions
Optimal Control
Partial Differential Equations
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]
A family of degenerate elliptic operators: maximum principle and its consequences
Isabeau Birindelli, Giulio Galise, Hitoshi Ishii
Ann. Inst. H. Poincaré Anal. Non Linéaire 35 ( 2 ) 417  441 2018 [Refereed]
The vanishing discount problem and viscosity Mather measures. Part 2: Boundary value problems
Hitoshi Ishii, Hiroyoshi Mitake, Hung V. Tran
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 108 ( 3 ) 261  305 2017.09 [Refereed]
The vanishing discount problem and viscosity Mather measures. Part 1: The problem on a torus
Hitoshi Ishii, Hiroyoshi Mitake, Hung V. Tran
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 108 ( 2 ) 125  149 2017.08 [Refereed]
ON VISCOSITY SOLUTION OF HJB EQUATIONS WITH STATE CONSTRAINTS AND REFLECTION CONTROL
Anup Biswas, Hitoshi Ishii, Subhamay Saha, Lin Wang
SIAM JOURNAL ON CONTROL AND OPTIMIZATION 55 ( 1 ) 365  396 2017 [Refereed]
Metastability for parabolic equations with drift: Part II. The quasilinear case
Indiana Univ. Math. J. 66 ( 1 ) 315  367 2017 [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]
A convergence result for the ergodic problem for HamiltonJacobi equations with Neumanntype boundary conditions
Eman S. AlAidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M. Younas
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION AMATHEMATICS 146 ( 2 ) 225  242 2016.04 [Refereed]
Eigenvalue problem for fully nonlinear secondorder elliptic PDE on balls, II
Norihisa Ikoma, Hitoshi Ishii
BULLETIN OF MATHEMATICAL SCIENCES 5 ( 3 ) 451  510 2015.10 [Refereed] [Invited]
Metastability for Parabolic Equations with Drift: Part I
Hitoshi Ishii, Panagiotis E. Souganidis
INDIANA UNIVERSITY MATHEMATICS JOURNAL 64 ( 3 ) 875  913 2015 [Refereed]
Asymptotic analysis for the eikonal equation with the dynamical boundary conditions
Eman S. AlAidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M. Younas
MATHEMATISCHE NACHRICHTEN 287 ( 1415 ) 1563  1588 2014.10 [Refereed]
A new PDE approach to the large time asymptotics of solutions of HamiltonJacobi equations
Guy Barles, Hitoshi Ishii, Hiroyoshi Mitake
BULLETIN OF MATHEMATICAL SCIENCES 3 ( 3 ) 363  388 2013.12 [Refereed] [Invited]
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of HamiltonJacobi Equations
Hitoshi Ishii
HAMILTONJACOBI EQUATIONS: APPROXIMATIONS, NUMERICAL ANALYSIS AND APPLICATIONS, CETRARO, ITALY 2011 2074 111  249 2013 [Refereed] [Invited]
Eigenvalue problem for fully nonlinear secondorder elliptic PDE on balls
Norihisa Ikoma, Hitoshi Ishii
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 29 ( 5 ) 783  812 2012.09 [Refereed]
UNIQUENESS SETS FOR MINIMIZATION FORMULAS
Yasuhiro Fujita, Hitoshi Ishii
DIFFERENTIAL AND INTEGRAL EQUATIONS 25 ( 56 ) 579  588 2012.05 [Refereed]
On the Large Time Behavior of Solutions of HamiltonJacobi Equations Associated with Nonlinear Boundary Conditions
Guy Barles, Hitoshi Ishii, Hiroyoshi Mitake
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 204 ( 2 ) 515  558 2012.05 [Refereed]
A pde approach to small stochastic perturbations of Hamiltonian flows
Hitoshi Ishii, Panagiotis E. Souganidis
JOURNAL OF DIFFERENTIAL EQUATIONS 252 ( 2 ) 1748  1775 2012.01 [Refereed]
Longtime asymptotic solutions of convex HamiltonJacobi equations with Neumann type boundary conditions
Hitoshi Ishii
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 42 ( 12 ) 189  209 2011.09 [Refereed]
Weak KAM aspects of convex HamiltonJacobi equations with Neumann type boundary conditions
Hitoshi Ishii
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 95 ( 1 ) 99  135 2011.01 [Refereed]
Asymptotic solutions for large time of HamiltonJacobi equations in Euclidean n space
Hitoshi Ishii
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 25 ( 2 ) 231  266 2008
Asymptotic solutions of HamiltonJacobi equations with semiperiodic Hamiltonians
Naoyuki Ichihara, Hitoshi Ishii
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 33 ( 5 ) 784  807 2008
The largetime behavior of solutions of HamiltonJacobi equations on the real line
N. Ichihara, H. Ishii
Methods Appl. Anal. 15 ( 2 ) 223  242 2008
Representation formulas for solutions of HamiltonJacobi equations with convex Hamiltonians
Hitoshi Ishii, Hiroyoshi Mitake
INDIANA UNIVERSITY MATHEMATICS JOURNAL 56 ( 5 ) 2159  2183 2007
Asymptotic solutions of viscous HamiltonJacobi equations with OrnsteinUhlenbeck operator
Y Fujita, H Ishii, P Loreti
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 31 ( 6 ) 827  848 2006.06
Asymptotic solutions of HamiltonJacobi equations in Euclidean n space
Yasuhiro Fujita, Hitoshi Ishii, Paola Loreti
INDIANA UNIVERSITY MATHEMATICS JOURNAL 55 ( 5 ) 1671  1700 2006
Convexified Gauss curvature flow of sets: A stochastic approximation
Hitoshi Ishii, Toshio Mikami
SIAM Journal on Mathematical Analysis 36 ( 2 ) 552  579 2005
Limits of solutions of plaplace equations as p goes to infinity and related variational problems
H Ishii, P Loreti
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 37 ( 2 ) 411  437 2005
Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain
H Ishii, MH Sato
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 57 ( 78 ) 1077  1098 2004.06
Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain
H Ishii, MH Sato
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 57 ( 78 ) 1077  1098 2004.06
Motion of a graph by Rcurvature
H Ishii, T Mikami
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 171 ( 1 ) 1  23 2004.01
Convexified gauss curvature flow of sets: A stochastic approximation
H Ishii, T Mikami
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 36 ( 2 ) 552  579 2004
A level set approach to the wearing process of a nonconvex stone
H Ishii, T Mikami
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 19 ( 1 ) 53  93 2004
Motion of a graph by Rcurvature
H Ishii, T Mikami
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 171 ( 1 ) 1  23 2004.01
A level set approach to the wearing process of a nonconvex stone
H Ishii, T Mikami
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 19 ( 1 ) 53  93 2004
Simultaneous Effects of Homogenization and Vanishing Viscosity in Fully Nonlinear Elliptic Equations
Hitoshi Ishii
Funkcialaj Ekvacioj 46 ( 1 ) 63  88 2003
Relaxation of HamiltonJacobi equations
H. Ishii, P. Loreti
Arch. Ration. Mech. Anal. 169 ( 4 ) 264  305 2003
Relaxation in an L^{∞}optimization problem
H. Ishii, P. Loreti
Proc. Roy. Soc. Edinburgh Sect. A 133 ( 3 ) 599  615 2003
Asymptotic analysis for a class of infinite systems of firstorder PDE: nonlinear parabolic PDE in the singular limit
H. Ishii, K. Shimano
Comm. Partial Differential Equations 28 ( 12 ) 409  438 2003
Simultaneous effects of homogenization and vanishing viscosity in fully nonlinear elliptic equations
K. Horie, H. Ishii
Funkcial. Ekvac. 46 ( 1 ) 63  88 2003
Relaxation of HamiltonJacobi equations
H. Ishii, P. Loreti
Arch. Ration. Mech. Anal. 169 ( 4 ) 264  305 2003
Relaxation in an L^{∞}optimization problem
H. Ishii, P. Loreti
Proc. Roy. Soc. Edinburgh Sect. A 133 ( 3 ) 599  615 2003
Asymptotic analysis for a class of infinite systems of firstorder PDE: Nonlinear parabolic PDE in the singular limit
H Ishii, K Shimano
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 28 ( 12 ) 409  438 2003
A twodimensional random crystalline algorithm for Gauss curvature flow
H. Ishii, T. Mikami
Advances in Applied Probability 34 ( 3 ) 491  504 2002.09
A twodimensional random crystalline algorithm for Gauss curvature flow
H Ishii, T Mikami
ADVANCES IN APPLIED PROBABILITY 34 ( 3 ) 491  504 2002.09
A class of Stochastic optimal control problems with state constraint
H Ishii, P Loreti
INDIANA UNIVERSITY MATHEMATICS JOURNAL 51 ( 5 ) 1167  1196 2002
Fully nonlinear oblique derivative problems for singular degenerate parabolic equations
H. Ishii
数理解析研究所講究録 1287 164  170 2002
A class of Stochastic optimal control problems with state constraint
H Ishii, P Loreti
INDIANA UNIVERSITY MATHEMATICS JOURNAL 51 ( 5 ) 1167  1196 2002
Fully nonlinear oblique derivative problems for singular degenerate parabolic equations
H. Ishii
数理解析研究所講究録 1287 164  170 2002
A mathematical model of the wearing process of a nonconvex stone
H Ishii, T Mikami
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 33 ( 4 ) 860  876 2001.12
An approximation scheme for motion by mean curvature with rightangle boundary condition
H Ishii, K Ishii
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 33 ( 2 ) 369  389 2001.09
An approximation scheme for motion by mean curvature with rightangle boundary condition
H Ishii, K Ishii
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 33 ( 2 ) 369  389 2001.09
HamiltonJacobi equations with partial gradient and application to homogenization
O Alvarez, H Ishii
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 26 ( 56 ) 983  1002 2001
On the rate of convergence in homogenization of HamiltonJacobi equations
I. Capuzzo Dolcetta, H. Ishii
Indiana Univ. Math. J. 50 ( 3 ) 1113  1129 2001
A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity
H. Ishii
Proc. Roy. Soc. Edinburgh Sect. A 131 ( 1 ) 137  154 2001
HamiltonJacobi equations with partial gradient and application to homogenization
O Alvarez, H Ishii
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 26 ( 56 ) 983  1002 2001
On the rate of convergence in homogenization of HamiltonJacobi equations
I. Capuzzo Dolcetta, H. Ishii
Indiana Univ. Math. J. 50 ( 3 ) 1113  1129 2001
A mathematical model of the wearing process of a nonconvex stone
Hitoshi Ishii, Toshio Mikami
SIAM Journal on Mathematical Analysis 33 ( 4 ) 860  876 2001
A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity
H. Ishii
Proc. Roy. Soc. Edinburgh Sect. A 131 ( 1 ) 137  154 2001
On epsilonoptimal controls for state constraint problems
H Ishii, S Koike
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 17 ( 4 ) 473  502 2000.07
A PDE approach to stochastic invariance
H Ishii, P Loreti, ME Tessitore
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6 ( 3 ) 651  664 2000.07
On epsilonoptimal controls for state constraint problems
H Ishii, S Koike
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 17 ( 4 ) 473  502 2000.07
A PDE approach to stochastic invariance
H Ishii, P Loreti, ME Tessitore
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6 ( 3 ) 651  664 2000.07
A Dirichlet type problem for nonlinear degenerate elliptic equations arising in
M. Bardi, P. Goatin, H. Ishii
Adv. Math. Sci. Appl. 10 ( 1 ) 329  352 2000
A characterization of the existence of solutions for HamiltonJacobi equations
M. Arisawa, H. Ishii, P.L. Lions
Appl. Math. Optim. 42 ( 1 ) 35  50 2000
A Dirichlet type problem for nonlinear degenerate elliptic equations arising in
M. Bardi, P. Goatin, H. Ishii
Adv. Math. Sci. Appl. 10 ( 1 ) 329  352 2000
A characterization of the existence of solutions for HamiltonJacobi equations
M. Arisawa, H. Ishii, P.L. Lions
Appl. Math. Optim. 42 ( 1 ) 35  50 2000
On the rate of convergence in homogenization of HamiltonJacobi equations
I. Capuzzo Dolcetta, H. Ishii
International Conference on Differential Equations/World Sci. Publishing 2000
Gauss curvature flow and its approximation
H. Ishii
Free boundary problems : theory and applications, GAKUTO Internat. Ser. Math. Sci. Appl. 2000
Threshold dynamics type approximation schemes for propagating fronts
H Ishii, GE Pires, PE Souganidis
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 51 ( 2 ) 267  308 1999.04
Threshold dynamics type approximation schemes for propagating fronts
H Ishii, GE Pires, PE Souganidis
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 51 ( 2 ) 267  308 1999.04
HopfLax formulas for semicontinuous data
O. Alvarez, E. N. Barron, H. Ishii
Indiana Univ. Math. J. 48 ( 3 ) 993  1035 1999
HopfLax formulas for HamiltonJacobi equations with semicontinuous initial data
H. Ishii
Singularity theory and differential equations 1111 144  156 1999
Homogenization of the Cauchy problem for HamiltonJacobi equations
H. Ishii
Stochastic analysis, control, optimization and applications 305  324 1999
Waiting time effects for Gauss curvature flows
D. Chopp, L. C. Evans, H. Ishii
Indiana Univ. Math. J. 48 ( 1 ) 311  334 1999
HopfLax formulas for semicontinuous data
O. Alvarez, E. N. Barron, H. Ishii
Indiana Univ. Math. J. 48 ( 3 ) 993  1035 1999
HopfLax formulas for HamiltonJacobi equations with semicontinuous initial data
H. Ishii
Singularity theory and differential equations 1111 144  156 1999
Waiting time effects for Gauss curvature flows
D. Chopp, L. C. Evans, H. Ishii
Indiana Univ. Math. J. 48 ( 1 ) 311  334 1999
Homogenization of the Cauchy problem for HamiltonJacobi equations
H. Ishii
Systems Control Found. Appl./Birkhauser 1999
Some properties of ergodic attractors for controlled dynamical systems
M. Arisawa, H. Ishii
Discrete Contin. Dynam. Systems 4 ( 1 ) 43  54 1998
Homogenization of HamiltonJacobi equations on domains with small scale periodic structure
K. Horie, H. Ishii
Indiana Univ. Math. J. 47 ( 3 ) 1011  1058 1998
An approximation scheme for Gauss curvature flow
H. Ishii
数理解析研究所講究録 No. 1061 108  123 1998
Some properties of ergodic attractors for controlled dynamical systems
M. Arisawa, H. Ishii
Discrete Contin. Dynam. Systems 4 ( 1 ) 43  54 1998
Homogenization of HamiltonJacobi equations on domains with small scale periodic structure
K. Horie, H. Ishii
Indiana Univ. Math. J. 47 ( 3 ) 1011  1058 1998
An approximation scheme for Gauss curvature flow
H. Ishii
数理解析研究所講究録 No. 1061 108  123 1998
The level set method for etching and deposition
D Adalsteinsson, LC Evans, H Ishii
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 7 ( 8 ) 1153  1186 1997.12
The level set method for etching and deposition
D Adalsteinsson, LC Evans, H Ishii
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 7 ( 8 ) 1153  1186 1997.12
Un contreexemple pour la theorie du controle ergodique en dimension infinie
M. Arisawa, H. Ishii, P.L. Lions
C. R. Acad. Sci. Paris Ser. I Math. 325 ( 1 ) 37  41 1997
Viscosity solutions and their applications
H. Ishii
Sugaku Expositions 10 ( 2 ) 123  141 1997
Comparison results for HamiltonJacobi equations without growth condition on solutions from above
H. Ishii
Appl. Anal. 67; 34, pp. 357372 1997
Un contreexemple pour la theorie du controle ergodique en dimension infinie
M. Arisawa, H. Ishii, P.L. Lions
C. R. Acad. Sci. Paris Ser. I Math. 325 ( 1 ) 37  41 1997
Comparison results for HamiltonJacobi equations without growth condition on solutions from above
H. Ishii
Appl. Anal. 67 ( 34 ) 357  372 1997
A new formulation of state constraint problems for firstorder PDES
H Ishii, S Koike
SIAM JOURNAL ON CONTROL AND OPTIMIZATION 34 ( 2 ) 554  571 1996.03
A new formulation of state constraint problems for firstorder PDEs
H. Ishii, S. Koike
SIAM J. Control Optim. 34 ( 2 ) 554  571 1996
Viscosity solutions of nonlinear partial differential equations
H. Ishii
Sugaku Expositions 9 ( 2 ) 135  152 1996
Degenerate parabolic PDEs with discontinuities and generalized evolutions of surfaces
H. Ishii
Adv. Differential Equations 1 ( 1 ) 51  72 1996
Degenerate parabolic PDEs with discontinuities and generalized evolutions of surfaces
H. Ishii
Adv. Differential Equations 1 ( 1 ) 51  72 1996
A singular limit on risk sensitive control and semiclassical analysis
H. Ishii, H. Nagai, F. Teramoto
1996
GENERALIZED MOTION OF NONCOMPACT HYPERSURFACES WITH VELOCITY HAVING ARBITRARY GROWTH ON THE CURVATURE TENSOR
H ISHII, P SOUGANIDIS
TOHOKU MATHEMATICAL JOURNAL 47 ( 2 ) 227  250 1995.06
GENERALIZED MOTION OF NONCOMPACT HYPERSURFACES WITH VELOCITY HAVING ARBITRARY GROWTH ON THE CURVATURE TENSOR
H ISHII, P SOUGANIDIS
TOHOKU MATHEMATICAL JOURNAL 47 ( 2 ) 227  250 1995.06
UNIQUENESS RESULTS FOR A CLASS OF HAMILTONJACOBI EQUATIONS WITH SINGULAR COEFFICIENTS
H ISHII, M RAMASWAMY
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 20 ( 1112 ) 2187  2213 1995
On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions
H. Ishii
Funkcial. Ekvac. 38 ( 1 ) 101  120 1995
UNIQUENESS RESULTS FOR A CLASS OF HAMILTONJACOBI EQUATIONS WITH SINGULAR COEFFICIENTS
H ISHII, M RAMASWAMY
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 20 ( 1112 ) 2187  2213 1995
Viscosity solutions and their applications
H. Ishii
Sugaku 47 ( 2 ) 97  110 1995
On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions
H. Ishii
Funkcial. Ekvac. 38 ( 1 ) 101  120 1995
A generalization of the Bence, Merriman and Osher algorithm for motion by mean curvature
H. Ishii
Curvature flows and related topics 1995
On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition
H. Ishii, K. Kobayasi
Differential Integral Equations 7 ( 34 ) 909  920 1994
On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition
H. Ishii, K. Kobayasi
Differential Integral Equations 7 ( 34 ) 909  920 1994
Viscosity solutions of nonlinear partial differential equations
H. Ishii
数学 (Sugaku Expositions; 1996) 46 ( 2 ) 144  151 1994
The maximum principle for degenerate parabolic PDEs with singularities
H. Ishii
Miniconference on Analysis and Applications 1994
SDES WITH OBLIQUE REFLECTION ON NONSMOOTH DOMAINS
P DUPUIS, H ISHII
ANNALS OF PROBABILITY 21 ( 1 ) 554  580 1993.01
Uniqueness of solutions to the Cauchy problem for υ_{t}υΔυ+γ∇υ^{2}=0
I. Fukuda, H. Ishii, M. Tsutsumi
Differential Integral Equations 6 ( 6 ) 1231  1252 1993
Viscosity solutions of functional differential equations
H. Ishii, S. Koike
Adv. Math. Sci. Appl. 3 191  218 1993
Viscosity solutions of nonlinear secondorder partial differential equations in hilbert spaces
Ishii Hitoshi
Communications in Partial Differential Equations 18 ( 34 ) 601  650 1993.01
SDES WITH OBLIQUE REFLECTION ON NONSMOOTH DOMAINS
P DUPUIS, H ISHII
ANNALS OF PROBABILITY 21 ( 1 ) 554  580 1993.01
Uniqueness of solutions to the Cauchy problem for υ_{t}υΔυ+γ∇υ^{2}=0
I. Fukuda, H. Ishii, M. Tsutsumi
Differential Integral Equations 6 ( 6 ) 1231  1252 1993
Viscosity solutions of functional differential equations
H. Ishii, S. Koike
Adv. Math. Sci. Appl. 3 191  218 1993
Viscosity solutions of nonlinear secondorder partial differential equations in Hilbert spaces
H. Ishii
Comm. Partial Differential Equations 18 ( 34 ) 601  650 1993
GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR INTERFACE EQUATIONS COUPLED WITH DIFFUSIONEQUATIONS
Y GIGA, S GOTO, H ISHII
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 23 ( 4 ) 821  835 1992.07
GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR INTERFACE EQUATIONS COUPLED WITH DIFFUSIONEQUATIONS
Y GIGA, S GOTO, H ISHII
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 23 ( 4 ) 821  835 1992.07
VISCOSITY SOLUTIONS FOR A CLASS OF HAMILTONJACOBI EQUATIONS IN HILBERTSPACES
H ISHII
JOURNAL OF FUNCTIONAL ANALYSIS 105 ( 2 ) 301  341 1992.05
User's guide to viscosity solutions of second order partial differential equations
M. G. Crandall, H. Ishii, P.L. Lions
Bull. Amer. Math. Soc. (N. S.) 27 ( 1 ) 1  67 1992
Perron's method for monotone systems of secondorder elliptic partial differential equations
H. Ishii
Differential Integral Equations 5 ( 1 ) 1  24 1992
User's guide to viscosity solutions of second order partial differential equations
M. G. Crandall, H. Ishii, P.L. Lions
Bull. Amer. Math. Soc. (N. S.) 27 ( 1 ) 1  67 1992
Viscosity solutions for a class of HamiltonJacobi equations in Hilbert spaces
Hitoshi Ishii
J. Funct. Anal. 105 ( 2 ) 301  341 1992
Perron's method for monotone systems of secondorder elliptic partial differential equations
H. Ishii
Differential Integral Equations 5 ( 1 ) 1  24 1992
Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains
Y. Giga, S. Goto, H. Ishii, M.H. Sato
Indiana Univ. Math. J. 40 ( 2 ) 443  470 1991
On oblique derivative problems for fully nonlinear secondorder elliptic PDE’s on domains with corners
Paul Dupuis, Hitoshi Ishii
Hokkaido Mathematical Journal 20 ( 1 ) 135  164 1991
On Lipschitz continuity of thesolution mapping to the Skorokhod problem, with applications
P. Dupuis, H. Ishii
Stochastics Stochastics Rep. 35 ( 1 ) 31  62 1991
Viscosity solutions of a system of nonlinear secondorder elliptic PDEs arising in switching games
Hitoshi Ishii, Shigeaki Koike
Funkcial. Ekvac. 34 ( 1 ) 143  155 1991
Viscosity solutions for monotone systems of secondorder elliptic PDEs
Hitoshi Ishii, Shigeaki Koike
Comm. Partial Differential Equations 16 ( 67 ) 1095  1128 1991
REMARKS ON ELLIPTIC SINGULAR PERTURBATION PROBLEMS
H ISHII, S KOIKE
APPLIED MATHEMATICS AND OPTIMIZATION 23 ( 1 ) 1  15 1991.01
VISCOSITY SOLUTIONS OF THE BELLMAN EQUATION ON AN ATTAINABLE SET
H ISHII, JL MENALDI, L ZAREMBA
PROBLEMS OF CONTROL AND INFORMATION THEORYPROBLEMY UPRAVLENIYA I TEORII INFORMATSII 20 ( 5 ) 317  328 1991
Fully nonlinear oblique derivative problems for nonlinear secondorder elliptic pde’s
Hitoshi Ishii
Duke Mathematical Journal 62 ( 3 ) 633  661 1991
Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains
Y. Giga, S. Goto, H. Ishii, M.H. Sato
Indiana Univ. Math. J. 40 ( 2 ) 443  470 1991
On oblique derivative problems for fully nonlinear secondorder elliptic PDE’s on domains with corners
Paul Dupuis, Hitoshi Ishii
Hokkaido Mathematical Journal 20 ( 1 ) 135  164 1991
On Lipschitz continuity of thesolution mapping to the Skorokhod problem, with applications
P. Dupuis, H. Ishii
Stochastics Stochastics Rep. 35 ( 1 ) 31  62 1991
Viscosity solutions of a system of nonlinear secondorder elliptic PDEs arising in switching games
Hitoshi Ishii, Shigeaki Koike
Funkcial. Ekvac. 34 ( 1 ) 143  155 1991
Viscosity solutions for monotone systems of secondorder elliptic PDEs
Hitoshi Ishii, Shigeaki Koike
Comm. Partial Differential Equations 16 ( 67 ) 1095  1128 1991
REMARKS ON ELLIPTIC SINGULAR PERTURBATION PROBLEMS
H ISHII, S KOIKE
APPLIED MATHEMATICS AND OPTIMIZATION 23 ( 1 ) 1  15 1991.01
VISCOSITY SOLUTIONS OF THE BELLMAN EQUATION ON AN ATTAINABLE SET
H ISHII, JL MENALDI, L ZAREMBA
PROBLEMS OF CONTROL AND INFORMATION THEORYPROBLEMY UPRAVLENIYA I TEORII INFORMATSII 20 ( 5 ) 317  328 1991
Fully nonlinear oblique derivative problems for nonlinear secondorder elliptic PDEs
Hitoshi Ishii
Duke Math. J. 62 ( 3 ) 633  661 1991
On oblique derivative problems for fully nonlinear secondorder elliptic partial differential equations on nonsmooth domains
p. Dupuis, H. Ishii
Nonlinear Anal. 15 ( 12 ) 1123  1138 1990
A VISCOSITY SOLUTION APPROACH TO THE ASYMPTOTIC ANALYSIS OF QUEUINGSYSTEMS
P DUPUIS, H ISHII, HM SONER
ANNALS OF PROBABILITY 18 ( 1 ) 226  255 1990.01
The maximum principle for semicontinuous functions
M. G. Crandall, H. Ishii
Differential Integral Equations 3 ( 6 ) 1001  1014 1990
Viscosity solutions of fully nonlinear secondorder elliptic partial differential equations
Hitoshi Ishii, P.L. Lions
J. Differential Equations 83 ( 1 ) 26  78 1990
On oblique derivative problems for fully nonlinear secondorder elliptic partial differential equations on nonsmooth domains
p. Dupuis, H. Ishii
Nonlinear Anal. 15 ( 12 ) 1123  1138 1990
A VISCOSITY SOLUTION APPROACH TO THE ASYMPTOTIC ANALYSIS OF QUEUINGSYSTEMS
P DUPUIS, H ISHII, HM SONER
ANNALS OF PROBABILITY 18 ( 1 ) 226  255 1990.01
The maximum principle for semicontinuous functions
M. G. Crandall, H. Ishii
Differential Integral Equations 3 ( 6 ) 1001  1014 1990
Viscosity solutions of fully nonlinear secondorder elliptic partial differential equations
Hitoshi Ishii, P.L. Lions
J. Differential Equations 83 ( 1 ) 26  78 1990
A REMARK ON A SYSTEM OF INEQUALITIES WITH BILATERAL OBSTACLES
H ISHII, N YAMADA
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 13 ( 11 ) 1295  1301 1989.11
A REMARK ON A SYSTEM OF INEQUALITIES WITH BILATERAL OBSTACLES
H ISHII, N YAMADA
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 13 ( 11 ) 1295  1301 1989.11
THE BELLMAN EQUATION FOR MINIMIZING THE MAXIMUM COST
EN BARRON, H ISHII
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 13 ( 9 ) 1067  1090 1989.09
THE BELLMAN EQUATION FOR MINIMIZING THE MAXIMUM COST
EN BARRON, H ISHII
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 13 ( 9 ) 1067  1090 1989.09
On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's
Hitoshi Ishii
Communications on Pure and Applied Mathematics 42 ( 1 ) 15  45 1989
A boundary value problem of the Dirichlet type for HamiltonJacobi equations
Hitoshi Ishii
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 ( 1 ) 105  135 1989
On uniqueness and existence of viscosity solutions of fully nonlinear secondorder elliptic PDEs
Hitoshi Ishii
Comm. Pure Appl. Math. 42 ( 1 ) 15  45 1989
A boundary value problem of the Dirichlet type for HamiltonJacobi equations
Hitoshi Ishii
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 ( 1 ) 105  135 1989
REPRESENTATION OF SOLUTIONS OF HAMILTONJACOBI EQUATIONS
H ISHII
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 12 ( 2 ) 121  146 1988.02
Representation of solutions of HamiltonJacobi equations
Hitoshi Ishii
Nonlinear Anal. 12 ( 2 ) 121  146 1988
PERRON METHOD FOR HAMILTONJACOBI EQUATIONS
H ISHII
DUKE MATHEMATICAL JOURNAL 55 ( 2 ) 369  384 1987.06
A SIMPLE, DIRECT PROOF OF UNIQUENESS FOR SOLUTIONS OF THE HAMILTONJACOBI EQUATIONS OF EIKONAL TYPE
H ISHII
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 100 ( 2 ) 247  251 1987.06
Uniqueness of viscosity solutions of HamiltonJacobi equations revisited
M. G. Crandall, H. Ishii, P.L. Lions
J. Math. Soc. Japan 39 ( 4 ) 581  596 1987
A simple, direct proof of uniqueness for solutions of the hamiltonjacobi equations of eikonal type
Hitoshi Ishii
Proceedings of the American Mathematical Society 100 ( 2 ) 247  251 1987
Uniqueness of viscosity solutions of HamiltonJacobi equations revisited
M. G. Crandall, H. Ishii, P.L. Lions
J. Math. Soc. Japan 39 ( 4 ) 581  596 1987
Perron’s method for HamiltonJacobi equations
Hitoshi Ishii
Duke Mathematical Journal 55 ( 2 ) 369  384 1987
Existence and uniqueness of solutions of HamiltonJacobi equations
Hitoshi Ishii
Funkcial. Ekvac. 29 ( 2 ) 167  188 1986
Existence and uniqueness of solutions of HamiltonJacobi equations
Hitoshi Ishii
Funkcial. Ekvac. 29 ( 2 ) 167  188 1986
A PDE APPROACH TO SOME ASYMPTOTIC PROBLEMS CONCERNING RANDOM DIFFERENTIALEQUATIONS WITH SMALL NOISE INTENSITIES
LC EVANS, H ISHII
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 2 ( 1 ) 1  20 1985
Boundary estimates for bounded solutions of a classical YangMills equation
H.Ishii, K.Nakamitsu
Math. Japon. 30 ( 2 ) 199  215 1985
A nonlinear diffusion equation in phytoplankton dynamics with selfshading effect
Hitoshi Ishii, Izumi Takagi
Mathematics in biology and medicine, Lecture Notes in Biomath. 57 66  71 1985
Theory of the existence and uniqueness of viscosity solutions of HamiltonJacobi equations and its applications
Hitoshi Ishii
数理解析研究所講究録 559 162  181 1985
HamiltonJacobi equations with discontinuous Hamiltonians on arbitrary open sets.
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 28 33  77 1985
A PDE APPROACH TO SOME ASYMPTOTIC PROBLEMS CONCERNING RANDOM DIFFERENTIALEQUATIONS WITH SMALL NOISE INTENSITIES
LC EVANS, H ISHII
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 2 ( 1 ) 1  20 1985
Boundary estimates for bounded solutions of a classical YangMills equation
H.Ishii, K.Nakamitsu
Math. Japon. 30 ( 2 ) 199  215 1985
A nonlinear diffusion equation in phytoplankton dynamics with selfshading effect
Hitoshi Ishii, Izumi Takagi
Mathematics in biology and medicine, Lecture Notes in Biomath. 57 66  71 1985
Theory of the existence and uniqueness of viscosity solutions of HamiltonJacobi equations and its applications
Hitoshi Ishii
数理解析研究所講究録 559 162  181 1985
HamiltonJacobi equations with discontinuous Hamiltonians on arbitrary open sets
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 28 33  77 1985
Recent developments in the theory of HamiltonJacobi equations
H. Ishii
Essays in celebration of the 100th anniversary of Chuo University 1985
On representations of solutions of HamiltonJacobi equations with convex Hamiltonians
H. Ishii
Recent topics in nonlinear PDE, NorthHolland Math. Stud. 1985
Differential games and nonlinear first order PDE on bounded domains
L. C. Evans, H. Ishii
Manuscripta Math. 49 ( 2 ) 109  139 1984
APPROXIMATE SOLUTIONS OF THE BELLMAN EQUATION OF DETERMINISTIC CONTROLTHEORY
IC DOLCETTA, H ISHII
APPLIED MATHEMATICS AND OPTIMIZATION 11 ( 2 ) 161  181 1984
Uniqueness of unbounded viscosity solution of HamiltonJacobi equations
Hitoshi Ishii
Indiana Univ. Math. J. 33 ( 5 ) 721  748 1984
Differential games and nonlinear first order PDE on bounded domains
L. C. Evans, H. Ishii
Manuscripta Math. 49 ( 2 ) 109  139 1984
APPROXIMATE SOLUTIONS OF THE BELLMAN EQUATION OF DETERMINISTIC CONTROLTHEORY
IC DOLCETTA, H ISHII
APPLIED MATHEMATICS AND OPTIMIZATION 11 ( 2 ) 161  181 1984
UNIQUENESS OF UNBOUNDED VISCOSITY SOLUTION OF HAMILTONJACOBI EQUATIONS
H ISHII
INDIANA UNIVERSITY MATHEMATICS JOURNAL 33 ( 5 ) 721  748 1984
BOUNDARYREGULARITY AND UNIQUENESS FOR AN ELLIPTIC EQUATION WITH GRADIENT CONSTRAINT
H ISHII, S KOIKE
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 8 ( 4 ) 317  346 1983
Remarks on existence of viscosity solutions of HamiltonJacobi equations
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 26 5  24 1983
BOUNDARYREGULARITY AND UNIQUENESS FOR AN ELLIPTIC EQUATION WITH GRADIENT CONSTRAINT
H ISHII, S KOIKE
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 8 ( 4 ) 317  346 1983
Remarks on existence of viscosity solutions of HamiltonJacobi equations
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 26 5  24 1983
GLOBAL STABILITY OF STATIONARY SOLUTIONS TO A NONLINEAR DIFFUSION EQUATION IN PHYTOPLANKTON DYNAMICS
H ISHII, TAKAGI, I
JOURNAL OF MATHEMATICAL BIOLOGY 16 ( 1 ) 1  24 1982
On the existence of almost periodic complete trajectories for contractive almost periodic processes
Hitoshi Ishii
J. Differential Equations 43 ( 1 ) 66  72 1982
GLOBAL STABILITY OF STATIONARY SOLUTIONS TO A NONLINEAR DIFFUSION EQUATION IN PHYTOPLANKTON DYNAMICS
H ISHII, TAKAGI, I
JOURNAL OF MATHEMATICAL BIOLOGY 16 ( 1 ) 1  24 1982
ON THE EXISTENCE OF ALMOST PERIODIC COMPLETE TRAJECTORIES FOR CONTRACTIVE ALMOST PERIODIC PROCESSES
H ISHII
JOURNAL OF DIFFERENTIAL EQUATIONS 43 ( 1 ) 66  72 1982
On a certain estimate of the free boundary in the Stefan problem
Hitoshi Ishii
Journal of Differential Equations 42 ( 1 ) 106  115 1981
ON A CERTAIN ESTIMATE OF THE FREEBOUNDARY IN THE STEFAN PROBLEM
H ISHII
JOURNAL OF DIFFERENTIAL EQUATIONS 42 ( 1 ) 106  115 1981
Remarks on evolution equations with almost periodic forcing terms
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 23 55  71 1980
Erratum : "Asymptotic stability of almost periodic solutions of a free boundary problem arising in hydraulics"
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 23 83  83 1980
Asymptotic stability and existence of almost periodic solutions for the onedimensional twophase Stefan problem
Hitoshi Ishii
Math. Japon. 25 ( 4 ) 379  393 1980
Remarks on evolution equations with almost periodic forcing terms
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 23 55  71 1980
Erratum : "Asymptotic stability of almost periodic solutions of a free boundary problem arising in hydraulics"
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 23 83  83 1980
Asymptotic stability and existence of almost periodic solutions for the onedimensional twophase Stefan problem
Hitoshi Ishii
Math. Japon. 25 ( 4 ) 379  393 1980
Asymptotic stability of almost periodic solutions of a free boundary problem arising in hydraulics
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 22 73  95 1979
Asymptotic stability of almost periodic solutions of a free boundary problem arising in hydraulics
Hitoshi Ishii
Bull. Fac. Sci. Engrg. Chuo Univ. 22 73  95 1979
Asymptotic stability and blowing up of solutions of some nonlinear equations
Hitoshi Ishii
J. Differential Equations 26 ( 2 ) 291  319 1977
Asymptotic stability and blowing up of solutions of some nonlinear equations
Hitoshi Ishii
J. Differential Equations 26 ( 2 ) 291  319 1977
On the solutions of the NavierStokes equations of slightly compressible fluids
R. Iino, H. Ishii, Y. Machino
Bull. Sci. Engrg. Res. Lab. Waseda Univ. 69 74  79 1975
Some uniqueness theorems for first order hyperbolic systems
Hitoshi Ishii, Yoshinori Sagisaka, Masayoshi Tsutsumi
Publ. Res. Inst. Math. Sci. 11 ( 2 ) 403  415 1975
On some perturbation of the NavierStokes equations in L^{p} spaces
Hitoshi Ishii
Funkcial. Ekvac. 18 ( 1 ) 73  83 1975
On the solutions of the NavierStokes equations of slightly compressible fluids
R. Iino, H. Ishii, Y. Machino
Bull. Sci. Engrg. Res. Lab. Waseda Univ. 69 74  79 1975
Some uniqueness theorems for first order hyperbolic systems
Hitoshi Ishii, Yoshinori Sagisaka, Masayoshi Tsutsumi
Publ. Res. Inst. Math. Sci. 11 ( 2 ) 403  415 1975
On some perturbation of the NavierStokes equations in L^{p} spaces
Hitoshi Ishii
Funkcial. Ekvac. 18 ( 1 ) 73  83 1975
On some Fourier multipliers and partial differential equations.
Hitoshi Ishii
Math. Japon. 19 ( 3 ) 139  163 1974
On some Fourier multipliers and partial differential equations
Hitoshi Ishii
Math. Japon. 19 ( 3 ) 139  163 1974
Estimates from W^{p, α} to W^{q, β} for the solutions of the Petrovskii well posed Cauchy problems.
Hitoshi Ishii
Proc. Japan Acad. 49 705  710 1973
Estimates from W^{p, α} to W^{q, β} for the solutions of the Petrovskii well posed Cauchy problems
Hitoshi Ishii
Proc. Japan Acad. 49 705  710 1973
プリンストン数学大全
HITOSHI ISHII( Part： Joint translator)
朝倉書店 2015.11
HamiltonJacobi equations: approximations, numerical analysis and applications
HITOSHI ISHII( Part： Joint author, 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 author, pp. 311374)
シュプリンガー・ジャパン 2010.02
Recent progress on reactiondiffusion systems and viscosity solutions
HITOSHI ISHII( Part： Joint editor)
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ 2009
Kodaira Kunihiko Prize
2019.09 Mathematical Society of Japan Viscosity solution theory for fully nonlinear partial differential equations
Winner： HITOSHI ISHII
Okuma Memorial Academic Commemorative Prize
2017.11 Waseda University Founding of the viscous solution theory of nonlinear partial differential equations and its application
Winner： HITOSHI ISHII
Fellow
2012.01 American Mathematical Society
Winner： HITOSHI ISHII
Highly cited researcher
2002 Thompson ISI
Winner： HITOSHI ISHII
Autumn Prize
1994.09 Mathematical Society of Japan
Winner： HITOSHI ISHII
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 :
KENICHI 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 :
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 :
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 :
HITOSHI ISHII
粘性解の理論と応用の研究
日本学術振興会 科学研究費助成事業（基盤研究（B)）
Project Year :
石井 仁司
粘性解と変分問題
日本学術振興会 科学研究費助成事業(萌芽研究)
Project Year :
石井仁司
微分方程式の粘性解とその応用の研究
日本学術振興会 科学研究費助成事業（基盤研究（B)）
Project Year :
石井 仁司
粘性解の理論と応用
日本学術振興会 科学研究費助成事業（基盤研究（B)）
Project Year :
石井 仁司
超曲面の曲率流における待ち時間の研究
日本学術振興会 科学研究費助成事業（萌芽的研究）
Project Year :
石井 仁司
HamiltonJacobi 方程式に対する特異摂動問題の研究
日本学術振興会 科学研究費助成事業(基盤研究(C))
Project Year :
石井 仁司
非線形偏微分方程式の粘性解とその応用の研究
日本学術振興会 科学研究費助成事業(基盤研究(C))
Project Year :
石井 仁司
粘性解とその応用に関する共同研究
日本学術振興会 科学研究費助成事業(基盤研究(C))
Project Year :
石井 仁司
非線形楕円型及び放物型偏微分方程式の研究 研究課題
日本学術振興会 科学研究費助成事業(基盤研究(C))
Project Year :
石井 仁司
非線形退化楕円型偏微分方程式の研究
日本学術振興会 科学研究費助成事業(基盤研究(C))
Project Year :
石井 仁司
ハミルトン・ヤコビ方程式の研究
日本学術振興会 科学研究費助成事業(奨励研究(A))
Project Year :
石井 仁司
非線形偏微分方程式の解の周期性・概周期性に関する研究
日本学術振興会 科学研究費助成事業（奨励研究（A)）
Project Year :
石井 仁司
Study on periodicity and almost periodicity of solutions of nonlinear partial differential equations
A study of HamiltonJacobi 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 HamiltonJacobi 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 risksensitive 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 HamiltonJacobi 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
Developments of the theory of viscosity solutions for nonlinear partial differential equations
HITOSHI ISHII [Invited]
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
Presentation date： 2019.09
The vanishing discount problem for weakly coupled systems of HamiltonJacobi equations
HITOSHI ISHII [Invited]
4th SwissJapanese PDE seminar
Presentation date： 2019.09
The vanishing discount problem for weakly coupled systems of HamiltonJacobi equations
HITOSHI ISHII [Invited]
New trends in HamiltonJacobi: PDE, Control, Dynamical Systems and Geometry
Presentation date： 2019.07
The Dirichlet problem for truncated Laplacians
HITOSHI ISHII [Invited]
The Peoples' Friendship University of Russia,
Presentation date： 2019.04
Asymptotic problems for the Langevin equation with variable friction
HITOSHI ISHII [Invited]
The Peoples' Friendship University of Russia,
Presentation date： 2019.04
The vanishing discount problem for HamiltonJacobi equations
HITOSHI ISHII [Invited]
応用解析研究会
Presentation date： 2019.04
The vanishing discount problem for HamiltonJacobi equations in Euclidean n space
HITOSHI ISHII [Invited]
PDEs at Valparaiso, a conference in honor of Patricio Felmer's 60th birthday
Presentation date： 2018.12
The vanishing discount problem for HamiltonJacobi equations in Euclidean n space
HITOSHI ISHII [Invited]
From Optimal Control to Maximum Principle
Presentation date： 2018.09
Two asymptotic problems concerning the Langevin equation with variable friction
HITOSHI ISHII [Invited]
The tenth meeting on Probability and PDE, Tsuda University,
Presentation date： 2018.08
The Langevin equation with variable friction and SmoluchowskiKramers approximation
HITOSHI ISHII [Invited]
12th AIMS Conference NTU
Presentation date： 2018.07
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
HITOSHI ISHII
12th AIMS Conference NTU
Presentation date： 2018.07
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
HITOSHI ISHII [Invited]
Nanjing University
Presentation date： 2018.06
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
HITOSHI ISHII [Invited]
Seminari di Analisi Matematica, Universita di Bologna
Presentation date： 2018.05
Asymptotic problems for the Langevin equation with variable friction
HITOSHI ISHII [Invited]
Seminario di Analisi Matematica, Sapienza Universita di Roma
Presentation date： 2018.05
Asymptotic problems for HamiltonJacobi equations and weak KAM theory
HITOSHI ISHII [Invited]
Wolfgang Wasow Lectures, University of WisconsinMadison
Presentation date： 2018.04
The Langevin equation with variable friction and SmoluchowskiKramers approximation
HITOSHI ISHII [Invited]
81st Midwest PDE Seminar
Presentation date： 2018.04
The Langevin equation with variable friction and SmoluchowskiKramers approximation
HITOSHI ISHII [Invited]
Royal Institue of Technology, Sweden
Presentation date： 2017.09
The Langevin equation and SmoluchowskiKramers approximation with variable friction
HITOSHI ISHII [Invited]
Seminar at Fudan University
Presentation date： 2017.08
The Langevin equation and SmoluchowskiKramers approximation with variable friction
HITOSHI ISHII [Invited]
Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics, RIMS
Presentation date： 2017.07
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
HITOSHI ISHII [Invited]
Mostly Maximum Principle at BIRS , Canada
Presentation date： 2017.03
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
HITOSHI ISHII [Invited]
Beyond HamiltonJacobi, Last call to Bordeaux
Presentation date： 2017.01
Viscosity solutions and asymptotic problrms
HITOSHI ISHII [Invited]
Presentation date： 2016.09
The vanishing discount problem and generalized Mather measures
HITOSHI ISHII [Invited]
AMCS Seminar at KAUST
Presentation date： 2016.08
A boundary value problem of the Neumann type for elliptic equations on the positive orthant
HITOSHI ISHII [Invited]
Mostly Maximum Principle at Agropoli, Italy
Presentation date： 2015.08
Metastability for parabolic equations with drift
HITOSHI ISHII [Invited]
Nonlinear Elliptic PDEs at the End of the World, Chile
Presentation date： 2015.05
Metastability for parabolic equations with drift
HITOSHI ISHII [Invited]
Beyond HamiltonJacobi in Avignon, Palais des Papes,
Presentation date： 2014.04
Large time behavior of solutions of HamiltonJacobi equations with Neumann type BC
HITOSHI ISHII [Invited]
Dynamical Optimization in PDE and Geometry, Universite Bordeaux 1
Presentation date： 2011.12
Small stochastic perturbations of Hamiltonian flows: a PDE approach
HITOSHI ISHII [Invited]
DFDE 2011, The Peoples' Friendship University of Russia,
Presentation date： 2011.08
Stochastic Perturbations to Hamiltonian Flows: a PDE approach
HITOSHI ISHII [Invited]
14th RiviereFabes symposium, University of Minessotta
Presentation date： 2011.04
Longtime behavior of solutions of HamiltonJacobi equations with Neumann type boundary conditions
HITOSHI ISHII [Invited]
14th RiviereFabes symposium, University of Minessotta
Presentation date： 2011.04
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
Presentation date： 2009.09
Nonlocal HamiltonJacobi Equations Arising in Dislocation Dynamics
HITOSHI ISHII [Invited]
Nonlinear Analysis Workshop at ANU, Australia
Presentation date： 2009.03
Nonlinear singular integral equations and approximation of pLaplace equations
HITOSHI ISHII [Invited]
2nd International Conference on ReactionDi usion Systems & Viscosity Solutions at Providence University, Taiwan
Presentation date： 2008.07
Asymptotic solutions of Hamilton–Jacobi equations for large time and related topics
HITOSHI ISHII [Invited]
ICIAM
Presentation date： 2007.07
Asymptotic solutions for large time of HamiltonJacobi equations
HITOSHI ISHII [Invited]
ICM
Presentation date： 2006.08
2001
Bulletin of Mathematical Sciences 編集委員
Journal de Mathematiques Pures et Appliquees 編集委員
Bulletin of Mathematical Sciences Editor
Journal de Mathematiques Pures et Appliquees Editor
Advances in Calculus of Variations 編集委員
Advances in Calculus of Variations Editor
Nonlinear Differential Equations and Applications 編集委員
Nonlinear Differential Equations and Applications Editor
New trends in HamiltonJacobi: PDE, Control, Dynamical Systems and Geometry Scientific Committee.
Eighth International Conference on Differential and Functional Differential Equations Program Committee
日本学術会議 連携会員
日本数学会 国際交流委員会