World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
56
Citations
19744
World Ranking
717
National Ranking
13

Herbert Amann 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 Herbert Amann 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: 142 publications — 34th percentile

34% of scientists in this discipline score the same or lower.

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

Herbert Amann 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 Herbert Amann 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: 56 D-Index — 80th percentile

80% of scientists in this discipline score the same or lower.

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

Overview

Herbert Amann is affiliated with the University of Zurich in Switzerland and conducts research primarily in the fields of Mathematics and Computer Science. Their work is especially focused on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis, and Public Health, Environmental and Occupational Health.

The scientist's research encompasses a diverse set of main topics, including:

  • Advanced Mathematical Modeling in Engineering
  • Geometric Analysis and Curvature Flows
  • Differential Equations and Numerical Methods
  • Nonlinear Partial Differential Equations
  • Advanced Harmonic Analysis Research
  • Differential Equations and Boundary Problems
  • Numerical methods in inverse problems

Herbert Amann has authored multiple papers spanning from 2020 to 2025. Notable recent publications include:

  • "Maximal regularity of parabolic transmission problems," 2021, published in Zurich Open Repository and Archive (University of Zurich)
  • "Function spaces on uniformly regular and singular Riemannian manifolds," 2025, published in Nonlinear Differential Equations and Applications NoDEA
  • "Linear parabolic equations with strong boundary degeneration," 2020, published in Journal of Elliptic and Parabolic Equations
  • "Population Dynamics in Hostile Neighborhoods," 2020, published in arXiv (Cornell University)

The two publications in Nonlinear Differential Equations and Applications NoDEA mark a recurrent engagement with this journal, alongside contributions to the Zurich Open Repository and Archive, Journal of Elliptic and Parabolic Equations, and arXiv.

Co-authorship patterns indicate that Herbert Amann tends to work individually or with limited frequent co-authors, as no frequent co-authors have been identified.

Best Publications

  • Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

    Herbert Amann

  • Linear and Quasilinear Parabolic Problems

    Herbert Amann

  • Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory

    Herbert Amann

  • Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems

    Herbert Amann

  • Ordinary Differential Equations: An Introduction to Nonlinear Analysis

    H. Amann;Gerhard Metzen

  • Linear and Quasilinear Parabolic Problems

    Unknown

  • Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems

    Herbert Amann

  • Dynamic theory of quasilinear parabolic systems: III. Global existence

    Herbert Amann

  • On the Existence of Positive Solutions of Nonlinear Elliptic Boundary value Problems

    Herbert Amann

  • Ordinary Differential Equations

    Unknown

  • Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations

    H. Amann;E. Zehnder

  • Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications

    Herbert Amann

  • Periodic Solutions of Semilinear Parabolic Equations

    Herbert Amann

  • Parabolic evolution equations and nonlinear boundary conditions

    Herbert Amann

  • On the number of solutions of nonlinear equations in ordered Banach spaces

    Herbert Amann

  • Dual semigroups and second order linear elliptic boundary value problems

    Herbert Amann

  • Compact embeddings of vector valued Sobolev and Besov spaces

    Herbert Amann

  • Saddle points and multiple solutions of differential equations

    Herbert Amann

  • On Some Existence Theorems for Semi-Linear Elliptic Equations.

    Herbert Amann;Michael G Crandall

  • A Priori Bounds and Multiple Solutions for Superlinear Indefinite Elliptic Problems

    H. Amann;J. López-Gómez

  • On the Strong Solvability of the Navier—Stokes Equations

    H. Amann

  • Global existence for semilinear parabolic systems.

    Herbert Amann

Frequent Co-Authors

Joachim Escher
Joachim Escher University of Hannover
Gieri Simonett
Gieri Simonett Vanderbilt University
Hideo Kozono
Hideo Kozono Waseda University
Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Wolfgang Arendt
Wolfgang Arendt University of Ulm
Jan Prüss
Jan Prüss Martin Luther University Halle-Wittenberg
Jesús Ildefonso Díaz Díaz
Jesús Ildefonso Díaz Díaz Complutense University of Madrid
Michael G. Crandall
Michael G. Crandall University of California, Santa Barbara
Michael Renardy
Michael Renardy Virginia Tech

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