Herbert Amann
Impact in
- Applied Mathematics top 0.02%
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
- Modeling and Simulation top 0.1%
Papers in
-
- Nonlinear Partial Differential Equations 38
- Differential Equations and Boundary Problems 19
- Nonlinear Differential Equations Analysis 15
-
- Advanced Mathematical Modeling in Engineering 58
- Co-authors
- Michael G. Crandall (2 shared papers)Julián López-Gómez (1 shared paper)Joachim Escher (9 shared papers)Eduard Zehnder (1 shared paper)Pavol Quíttner (5 shared papers)Peter Heß (1 shared paper)Matthias Hieber (3 shared papers)G.B. John Mancini (2 shared papers)
- Journals
- Mathematische Zeitschrift (8 papers)Archive for Rational Mechanics and Analysis (7 papers)Indiana University Mathematics Journal (6 papers)Journal of Functional Analysis (4 papers)Advances in Differential Equations (4 papers)
- Partner nations
- SwitzerlandGermanyUnited States
In The Last Decade
Herbert Amann
116 papers receiving 7.1k citations
Herbert Amann's Hit Papers
Peers
Comparison fields: 5 of 125
- Applied Mathematics 5.2k
- Modeling and Simulation 1.2k
- Numerical Analysis 1.4k
- Mathematical Physics 2.3k
- Computational Theory and Mathematics 3.9k
Countries citing papers authored by Herbert Amann
This map shows the geographic impact of Herbert Amann's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Herbert Amann with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Herbert Amann more than expected).
Fields of papers citing papers by Herbert Amann
This network shows the impact of papers produced by Herbert Amann. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Herbert Amann. The network helps show where Herbert Amann may publish in the future.
Co-authors
The 25 scholars most cited alongside Herbert Amann, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 117 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces Hit paper breakdown → | 1976 | 1416 |
| 2 | Linear and Quasilinear Parabolic Problems Hit paper breakdown → | 1995 | 794 |
| 3 | 1990 | 353 | |
| 4 | 1989 | 311 | |
| 5 | 1990 | 255 | |
| 6 | Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations | 1980 | 241 |
| 7 | 1971 | 236 | |
| 8 | 1990 | 211 | |
| 9 | 1988 | 195 | |
| 10 | 1997 | 177 | |
| 11 | Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory | 1995 | 174 |
| 12 | 1998 | 163 | |
| 13 | 1983 | 158 | |
| 14 | 2000 | 158 | |
| 15 | 1972 | 140 | |
| 16 | 1979 | 135 | |
| 17 | 1985 | 130 | |
| 18 | Compact embeddings of vector valued Sobolev and Besov spaces | 2000 | 116 |
| 19 | 1978 | 116 | |
| 20 | Existence and regularity for semilinear parabolic evolution equations | 1984 | 105 |
About Herbert Amann
Herbert Amann is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics and Numerical Analysis, having authored 117 papers that have together received 8.2k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (58 papers), Nonlinear Partial Differential Equations (38 papers), Stability and Controllability of Differential Equations (31 papers), Differential Equations and Boundary Problems (19 papers), Differential Equations and Numerical Methods (18 papers), Nonlinear Differential Equations Analysis (15 papers), Advanced Mathematical Physics Problems (14 papers) and Numerical methods in inverse problems (12 papers). The work is most often cited by research in Applied Mathematics (5.2k citations), Modeling and Simulation (1.2k citations), Numerical Analysis (1.4k citations), Mathematical Physics (2.3k citations) and Computational Theory and Mathematics (3.9k citations). Herbert Amann has collaborated with scholars based in Switzerland, Germany and United States. Frequent co-authors include Michael G. Crandall, Julián López-Gómez, Joachim Escher, Eduard Zehnder, Pavol Quíttner, Peter Heß, Matthias Hieber, G.B. John Mancini, Antonio Ambrosetti and Gieri Simonett. Their work appears in journals such as Mathematische Zeitschrift, Archive for Rational Mechanics and Analysis, Indiana University Mathematics Journal, Journal of Functional Analysis and Advances in Differential Equations.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.