World's Best Scientists 2026 revealed!
Hitoshi Ishii

Hitoshi Ishii

D-Index & Metrics

Mathematics

D-Index
41
Citations
13688
World Ranking
1854
National Ranking
26

Hitoshi Ishii publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Hitoshi Ishii sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 130 publications — 27th percentile

27% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Hitoshi Ishii D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Hitoshi Ishii sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 41 D-Index — 49th percentile

49% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Hitoshi Ishii is affiliated with Waseda University in Japan and specializes in mathematics and computer science with a focus on applied mathematics and computational theory. Their research spans several subfields including mechanical and aerospace engineering. The core topics in their work cover nonlinear partial differential equations, geometric analysis and curvature flows, advanced mathematical modeling in engineering, optimization and variational analysis, nonlinear differential equation analysis, spectral theory in mathematical physics, and quantum chaos and dynamical systems.

Among their recent publications are:

  • The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space, 2020, Communications in Partial Differential Equations
  • Existence through convexity for the truncated Laplacians, 2020, Mathematische Annalen
  • The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: part 2-nonlinear coupling, 2020, Calculus of Variations and Partial Differential Equations
  • The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling, 2020, Mathematics in Engineering
  • Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown, 2021, Communications in Partial Differential Equations

Hitoshi Ishii frequently publishes in several scientific venues, notably:

  • arXiv (Cornell University)
  • Communications in Partial Differential Equations
  • Mathematics in Engineering
  • Mathematische Annalen
  • Calculus of Variations and Partial Differential Equations

Their frequent coauthors include:

  • Isabeau Birindelli
  • Giulio Galise
  • Taiga Kumagai
  • Ariela Briani
  • Kaizhi Wang

Hitoshi Ishii has contributed extensively to the fields of mathematics and computer science, with a portfolio of 45 publications in mathematics and 18 in computer science. Their research includes 35 works in applied mathematics and 12 in computational theory and mathematics.

The scope of their work engages important topics such as:

  • Nonlinear Partial Differential Equations
  • Geometric Analysis and Curvature Flows
  • Advanced Mathematical Modeling in Engineering
  • Optimization and Variational Analysis
  • Nonlinear Differential Equations Analysis
  • Spectral Theory in Mathematical Physics
  • Quantum chaos and dynamical systems

In recognition of their contributions, Hitoshi Ishii was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • User’s guide to viscosity solutions of second order partial differential equations

    Michael G. Crandall;Hitoshi Ishii;Pierre Louis Lions

  • Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

    H Ishii;P.L Lions

  • Perron’s method for Hamilton-Jacobi equations

    Hitoshi Ishii

  • On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's

    Hitoshi Ishii

  • On lipschitz continuity of the solution mapping to the skorokhod problem, with applications

    Paul Dupuis;Hitoshi Ishii

  • Uniqueness of unbounded viscosity solution of Hamilton-Jacobi equations

    H. Ishii

  • Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains

    Yoshikazu Giga;Shun'ichi Goto;Hitoshi Ishii;Moto-hiko Sato

  • SDEs with Oblique Reflection on Nonsmooth Domains

    Paul Dupuis;Hitoshi Ishii

  • Approximate solutions of the Bellman equation of deterministic control theory

    I. Capuzzo Dolcetta;H. Ishii

  • Hamilton-Jacobi Equations with Discontinuous Hamiltonians on Arbitrary Open Sets

    Hitoshi Ishii

  • The maximum principle for semicontinuous functions

    Michael G. Crandall;Hitoshi Ishii

  • A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations

    Hitoshi Ishii

  • Asymptotic stability and blowing up of solutions of some nonlinear equations

    Hitoshi Ishii

  • Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited

    Michael G. Crandall;Hitoshi Ishii;Pierre Louis Lions

  • A simple, direct proof of uniqueness for solutions of the hamilton-jacobi equations of eikonal type

    Hitoshi Ishii

  • Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor

    Hitoshi Ishii;Panagiotis Souganidis

  • Viscosity solutions for monotone systems of second-order elliptic PDES

    Hitoshi Ishii;Shigeaki Koike

  • A class of integral equations and approximation of p-Laplace equations

    Hitoshi Ishii;Gou Nakamura

  • Asymptotic solutions for large time of Hamilton–Jacobi equations in Euclidean n space

    Hitoshi Ishii

  • A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities

    L.C. Evans;H. Ishii

Frequent Co-Authors

Panagiotis E. Souganidis
Panagiotis E. Souganidis University of Chicago
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Paul Dupuis
Paul Dupuis Brown University
Michael G. Crandall
Michael G. Crandall University of California, Santa Barbara
Guy Barles
Guy Barles François Rabelais University
Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Lawrence C. Evans
Lawrence C. Evans University of California, Berkeley
H. Mete Soner
H. Mete Soner Princeton University

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