2026 Herbert Amann: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	56	717	612	13	13	142	19744

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

717

612

142

19744

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

2688
Citations
Linear and Quasilinear Parabolic Problems

Herbert Amann

1788
Citations
Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory

Herbert Amann

1664
Citations
Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems

Herbert Amann

972
Citations
Ordinary Differential Equations: An Introduction to Nonlinear Analysis

H. Amann;Gerhard Metzen

847
Citations
Linear and Quasilinear Parabolic Problems

Unknown

783
Citations
Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems

Herbert Amann

669
Citations
Dynamic theory of quasilinear parabolic systems: III. Global existence

Herbert Amann

605
Citations
On the Existence of Positive Solutions of Nonlinear Elliptic Boundary value Problems

Herbert Amann

496
Citations
Ordinary Differential Equations

Unknown

493
Citations
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations

H. Amann;E. Zehnder

461
Citations
Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications

Herbert Amann

388
Citations
Periodic Solutions of Semilinear Parabolic Equations

Herbert Amann

373
Citations
Parabolic evolution equations and nonlinear boundary conditions

Herbert Amann

330
Citations
On the number of solutions of nonlinear equations in ordered Banach spaces

Herbert Amann

313
Citations
Dual semigroups and second order linear elliptic boundary value problems

Herbert Amann

304
Citations
Compact embeddings of vector valued Sobolev and Besov spaces

Herbert Amann

303
Citations
Saddle points and multiple solutions of differential equations

Herbert Amann

300
Citations
On Some Existence Theorems for Semi-Linear Elliptic Equations.

Herbert Amann;Michael G Crandall

297
Citations
A Priori Bounds and Multiple Solutions for Superlinear Indefinite Elliptic Problems

H. Amann;J. López-Gómez

296
Citations
On the Strong Solvability of the Navier—Stokes Equations

H. Amann

296
Citations
Global existence for semilinear parabolic systems.

Herbert Amann

236
Citations

Frequent Co-Authors

Joachim Escher University of Hannover

Yoshikazu Giga University of Tokyo

Hideo Kozono Waseda University

Michael G. Crandall University of California, Santa Barbara

Jesús Ildefonso Díaz Díaz Complutense University of Madrid

Michael Renardy Virginia Tech

Wolfgang Arendt University of Ulm

Serge Nicaise University Polytechnic Hauts-de-France

Jan Prüss Martin Luther University Halle-Wittenberg

Julián López-Gómez Complutense University of Madrid

External Links

Personal website of Herbert Amann Google Scholar page

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