World's Best Scientists 2026 revealed!
Nakao Hayashi

Nakao Hayashi

D-Index & Metrics

Mathematics

D-Index
38
Citations
5690
World Ranking
2362
National Ranking
38

Nakao Hayashi 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 Nakao Hayashi 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: 82 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: 246 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

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

Nakao Hayashi 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 Nakao Hayashi 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: 137 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: 38 D-Index — 37th percentile

37% 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

  • 2011 - SPIE Fellow

Overview

Nakao Hayashi is a researcher affiliated with Waseda University in Japan, specializing in mathematical physics and applied mathematics. Their work primarily focuses on nonlinear Schrödinger equations and related boundary value problems, contributing to the understanding of complex differential equations and nonlinear wave phenomena.

The researcher has published extensively in fields including Mathematics and Physics and Astronomy. Their subfields of study encompass Mathematical Physics, Statistical and Nonlinear Physics, Applied Mathematics, Computational Theory and Mathematics, and Control and Systems Engineering. Key topics covered include advanced mathematical physics problems, nonlinear waves and solitons, nonlinear photonic systems, spectral theory in mathematical physics, differential equations and boundary problems, and advanced mathematical modeling in engineering.

Hayashi's frequent publication venues reflect the interdisciplinary nature of their work. These include Partial Differential Equations and Applications, Journal of Evolution Equations, Nonlinear Analysis, Journal of Pseudo-Differential Operators and Applications, and Differential and Integral Equations.

Hayashi has collaborated with several researchers, notably Pavel I. Naumkin, with whom they have co-authored 23 papers. Other frequent co-authors include Takayoshi Ogawa, Elena I. Kaikina, Jesus A. Mendez-Navarro, and Takuya Sato.

Their recent significant papers include:

  • Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space (2021), published in Differential and Integral Equations
  • Critical exponent for global existence of solutions to the Schrödinger equation with a nonlinear boundary condition (2023), published in Nonlinear Analysis
  • Higher-order nonlinear Schrödinger equation in 2D case (2020), published in Tohoku Mathematical Journal
  • Asymptotics for the fractional nonlinear Schrödinger equation with 2 < α < 5/2 (2022), published in Journal of Pseudo-Differential Operators and Applications
  • Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data (2020), published in Nonlinear Differential Equations and Applications NoDEA

In recognition of their contributions, Nakao Hayashi was awarded the distinction of SPIE Fellow in 2011.

Best Publications

  • Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations

    Nakao Hayashi;Pavel I. Naumkin

  • Global Existence of Small Solutions to a Relativistic Nonlinear Schrödinger Equation

    Anne De Bouard;Nakao Hayashi;Jean Claude Saut

  • On the derivative nonlinear Schro¨dinger equation

    Nakao Hayashi;Tohru Ozawa

  • Finite energy solutions of nonlinear Schro¨dinger equations of derivative type

    Nakao Hayashi;Tohru Ozawa

  • Remarks on nonlinear Schrödinger equations in one space dimension

    Nakao Hayashi;Tohru Ozawa;Tohru Ozawa;Tohru Ozawa;J. L. Bona

  • On the global strong solutions of coupled Klein-Gordon-Schrödinger equations

    Nakao Hayashi;Wolf von Wahl

  • Damped wave equation with super critical nonlinearities

    Nakao Hayashi;Elena I. Kaikina;Pavel I. Naumkin

  • On solutions of the initial value problem for the nonlinear Schrödinger equations

    Nakao Hayashi;Kuniaki Nakamitsu;Masayoshi Tsutsumi

  • The initial value problem for the cubic nonlinear Klein–Gordon equation

    Nakao Hayashi;Pavel I. Naumkin

  • On a system of nonlinear Schrödinger equations with quadratic interaction

    Nakao Hayashi;Tohru Ozawa;Kazunaga Tanaka

  • Scattering theory in the weighted $L^2 (\mathbb {R}^n)$ spaces for some Schrödinger equations

    Nakao Hayashi;Tohru Ozawa

  • Scattering theory for Hartree type equations

    Nakao Hayashi;Yoshio Tsutsumi

  • On solutions of the initial value problem for the nonlinear Schrödinger equations in one space dimension

    Nakao Hayashi;Kuniaki Nakamitsu;Masayoshi Tsutsumi

  • Analyticity and smoothing effect for the Schrödinger equation

    Nakao Hayashi;Saburou Saitoh

  • Large time behavior of solutions for the modified Korteweg-de Vries equation

    Nakao Hayashi;Pavel I. Naumkin

  • Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations

    Anne De Bouard;Nakao Hayashi;Keiichi Kato

  • Nonlinear Theory of Pseudodifferential Equations on a Half-Line

    Elena Kaikina;Nakao Hayashi

  • Smoothing effect for some Schrödinger equations

    Nakao Hayashi;Tohru Ozawa

  • Analyticity of solutions of the Korteweg-De Vries equation

    Nakao Hayashi

  • Damped wave equation with a critical nonlinearity

    Nakao Hayashi;Elena I. Kaikina;Pavel I. Naumkin

  • Global strong solutions of coupled Klein-Gordon-Schrödinger equations

    N. Hayashi

Frequent Co-Authors

Tohru Ozawa
Tohru Ozawa Waseda University
Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
Kazunaga Tanaka
Kazunaga Tanaka Waseda University

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