Herbert Amann

13.2k total citations · 2 hit papers
117 papers, 8.1k citations indexed

About

Herbert Amann is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Herbert Amann has authored 117 papers receiving a total of 8.1k indexed citations (citations by other indexed papers that have themselves been cited), including 72 papers in Applied Mathematics, 64 papers in Computational Theory and Mathematics and 33 papers in Control and Systems Engineering. Recurrent topics in Herbert Amann's work include Advanced Mathematical Modeling in Engineering (58 papers), Nonlinear Partial Differential Equations (38 papers) and Stability and Controllability of Differential Equations (31 papers). Herbert Amann is often cited by papers focused on Advanced Mathematical Modeling in Engineering (58 papers), Nonlinear Partial Differential Equations (38 papers) and Stability and Controllability of Differential Equations (31 papers). Herbert Amann collaborates with scholars based in Switzerland, Germany and United States. Herbert Amann's co-authors include Michael G. Crandall, Julián López-Gómez, Joachim Escher, Eduard Zehnder, Pavol Quíttner, Peter Heß, G.B. John Mancini, Matthias Hieber, Antonio Ambrosetti and Gieri Simonett and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, SIAM Review and Transactions of the American Mathematical Society.

In The Last Decade

Herbert Amann

116 papers receiving 7.0k citations

Hit Papers

Fixed Point Equations and Nonlinear Eigenvalue Problems i... 1976 2026 1992 2009 1976 1995 400 800 1.2k

Peers

Herbert Amann
Comparison fields: 5 of 125
  • Applied Mathematics 5.2k
  • Computational Theory and Mathematics 3.8k
  • Mathematical Physics 2.3k
  • Control and Systems Engineering 1.8k
  • Numerical Analysis 1.4k
Replace Paul H. Rabinowitz with:
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Citations per field, relative to Herbert Amann
Herbert Amann · 1×
Citations per year, relative to Herbert Amann
Herbert Amann · 1×

Countries citing papers authored by Herbert Amann

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Herbert Amann

This figure shows the co-authorship network connecting the top 25 collaborators of Herbert Amann. A scholar is included among the top collaborators of Herbert Amann based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Herbert Amann. Herbert Amann is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
# Work Indexed citations
1
Parabolic problems : the Herbert Amann festschrift
8
2
Functional analysis and evolution equations : the Gunter Lumer volume
4
3 28
4 23
5
Compact embeddings of vector valued Sobolev and Besov spaces
113
6
Topics in nonlinear analysis : the Herbert Amann anniversary volume
13
7
Progress in partial differential equations : Pont-à-Mousson 1997
1
8 160
9
Abstract linear theory
40
10
Highly degenerate quasilinear parabolic systems
19
11 195
12 35
13 34
14
Existence and regularity for semilinear parabolic evolution equations
106
15
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations
241
16 93
17
On Some Existence Theorems for Semi-Linear Elliptic Equations.
83
18 58
19 54
20 4

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.

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