Klaus‐Jochen Engel

5.4k total citations · 2 hit papers
28 papers, 3.4k citations indexed

About

Klaus‐Jochen Engel is a scholar working on Computational Theory and Mathematics, Control and Systems Engineering and Mathematical Physics. According to data from OpenAlex, Klaus‐Jochen Engel has authored 28 papers receiving a total of 3.4k indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Computational Theory and Mathematics, 18 papers in Control and Systems Engineering and 14 papers in Mathematical Physics. Recurrent topics in Klaus‐Jochen Engel's work include Advanced Mathematical Modeling in Engineering (19 papers), Stability and Controllability of Differential Equations (18 papers) and Spectral Theory in Mathematical Physics (9 papers). Klaus‐Jochen Engel is often cited by papers focused on Advanced Mathematical Modeling in Engineering (19 papers), Stability and Controllability of Differential Equations (18 papers) and Spectral Theory in Mathematical Physics (9 papers). Klaus‐Jochen Engel collaborates with scholars based in Italy, Germany and Hungary. Klaus‐Jochen Engel's co-authors include Rainer Nagel, András Bátkai, Roland Schnaubelt, Jan Prüß, Marjeta Kramar Fijavž, Gregor Nickel, Genni Fragnelli, Susanna Piazzera, Markus Haase and Naoki Tanaka and has published in prestigious journals such as International Journal of Radiation Oncology*Biology*Physics, Journal of Mathematical Analysis and Applications and Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences.

In The Last Decade

Klaus‐Jochen Engel

24 papers receiving 3.1k citations

Hit Papers

One-parameter semigroups for linear evolution equations 2000 2026 2008 2017 2001 2000 500 1000 1.5k 2.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. One-parameter semigroups for linear evolution equations
    2001 2.2k citations Klaus‐Jochen Engel, Rainer Nagel Semigroup Forum profile →
  2. One-Parameter Semigroups for Linear Evolution Equations
    2000 587 citations Klaus‐Jochen Engel, Rainer Nagel Graduate texts in mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Klaus‐Jochen Engel Italy 14 1.6k 1.5k 1.5k 1.4k 489 28 3.4k
Rainer Nagel Germany 18 2.2k 1.4× 1.7k 1.1× 2.1k 1.3× 1.7k 1.2× 580 1.2× 53 4.5k
Alessandra Lunardi Italy 21 2.0k 1.3× 1.2k 0.8× 1.2k 0.8× 1.6k 1.2× 516 1.1× 81 3.3k
Wolfgang Arendt Germany 29 3.4k 2.1× 1.7k 1.1× 2.7k 1.8× 2.1k 1.5× 590 1.2× 119 5.2k
Piermarco Cannarsa Italy 32 1.3k 0.8× 1.9k 1.2× 1.4k 0.9× 2.2k 1.6× 297 0.6× 163 3.6k
C. J. K. Batty United Kingdom 23 1.6k 1.0× 1.3k 0.8× 1.5k 1.0× 1.2k 0.9× 334 0.7× 125 2.9k
Matthias Hieber Germany 23 2.7k 1.7× 1.0k 0.7× 1.7k 1.1× 1.4k 1.0× 312 0.6× 111 3.5k
Olof J. Staffans Finland 22 782 0.5× 1.5k 1.0× 758 0.5× 896 0.6× 551 1.1× 99 2.4k
Alain Haraux France 26 1.2k 0.8× 1.9k 1.2× 1.4k 0.9× 1.7k 1.2× 466 1.0× 112 3.0k
Victor A. Galaktionov United Kingdom 32 2.5k 1.6× 1.4k 0.9× 1.8k 1.2× 1.6k 1.1× 964 2.0× 140 4.2k
John S. Maybee United States 17 1.4k 0.8× 601 0.4× 932 0.6× 1.5k 1.1× 552 1.1× 67 3.3k

Countries citing papers authored by Klaus‐Jochen Engel

Since Specialization
Citations

This map shows the geographic impact of Klaus‐Jochen Engel'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 Klaus‐Jochen Engel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Klaus‐Jochen Engel more than expected).

Fields of papers citing papers by Klaus‐Jochen Engel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Klaus‐Jochen Engel. 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 Klaus‐Jochen Engel. The network helps show where Klaus‐Jochen Engel may publish in the future.

Co-authorship network of co-authors of Klaus‐Jochen Engel

This figure shows the co-authorship network connecting the top 25 collaborators of Klaus‐Jochen Engel. A scholar is included among the top collaborators of Klaus‐Jochen Engel 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 Klaus‐Jochen Engel. Klaus‐Jochen Engel 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
1.
Engel, Klaus‐Jochen, et al.. (2025). Perturbations of positive semigroups factorized via AM- and AL-spaces. Journal of Evolution Equations. 25(1).
2.
Engel, Klaus‐Jochen, et al.. (2020). First-order evolution equations with dynamic boundary conditions. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 378(2185). 20190615–20190615. 1 indexed citations
3.
Engel, Klaus‐Jochen & Marjeta Kramar Fijavž. (2017). Exact and positive controllability of boundary control systems. Networks and Heterogeneous Media. 12(2). 319–337. 13 indexed citations
4.
Engel, Klaus‐Jochen, et al.. (2014). On Perturbations of Generators ofC0-Semigroups. Abstract and Applied Analysis. 2014. 1–13. 12 indexed citations
5.
Bátkai, András, et al.. (2014). Stability for Lie–Trotter products for some operator matrix semigroups. PAMM. 14(1). 995–998.
6.
Engel, Klaus‐Jochen, et al.. (2013). A semigroup characterization of well-posed linear control systems. Semigroup Forum. 88(2). 366–396. 7 indexed citations
7.
Bátkai, András, et al.. (2012). Stability and Convergence of Product Formulas for Operator Matrices. Integral Equations and Operator Theory. 74(2). 281–299. 2 indexed citations
8.
Engel, Klaus‐Jochen, et al.. (2010). Maximal Controllability for Boundary Control Problems. Applied Mathematics & Optimization. 62(2). 205–227. 27 indexed citations
9.
Engel, Klaus‐Jochen, et al.. (2008). Vertex control of flows in networks. Networks and Heterogeneous Media. 3(4). 709–722. 28 indexed citations
10.
Bátkai, András, Klaus‐Jochen Engel, Jan Prüß, & Roland Schnaubelt. (2006). Polynomial stability of operator semigroups. Mathematische Nachrichten. 279(13-14). 1425–1440. 96 indexed citations
11.
Bátkai, András, Klaus‐Jochen Engel, & Markus Haase. (2005). Cosine families generated by second-order differential operators on W1,1(0, 1) with generalized Wentzell boundary conditions. Applicable Analysis. 84(9). 867–876. 5 indexed citations
12.
Bátkai, András & Klaus‐Jochen Engel. (2004). Abstract wave equations with generalized Wentzell boundary conditions. Journal of Differential Equations. 207(1). 1–20. 19 indexed citations
13.
Engel, Klaus‐Jochen. (2003). The Laplacian on C( ) with generalized Wentzell boundary conditions. International Journal of Radiation Oncology*Biology*Physics. 68(1). 314–314. 21 indexed citations
14.
Engel, Klaus‐Jochen, et al.. (2003). A Semigroup Approach to Boundary Feedback Systems. Integral Equations and Operator Theory. 47(3). 289–306. 55 indexed citations
15.
Engel, Klaus‐Jochen. (2003). The Laplacian on $$ C(\overline \Omega) $$ with generalized Wentzell boundary conditions. Archiv der Mathematik. 81(5). 548–558. 32 indexed citations
16.
Engel, Klaus‐Jochen & Rainer Nagel. (2001). One-parameter semigroups for linear evolution equations. Semigroup Forum. 63(2). 278–280. 2199 indexed citations breakdown →
17.
Engel, Klaus‐Jochen & Rainer Nagel. (2000). One-Parameter Semigroups for Linear Evolution Equations. Graduate texts in mathematics. 587 indexed citations breakdown →
18.
Engel, Klaus‐Jochen. (1999). Spectral theory and generator property for one-sided coupled operator matrices. Semigroup Forum. 58(2). 267–295. 40 indexed citations
19.
Engel, Klaus‐Jochen. (1992). On singular perturbations of second order Cauchy problems. Pacific Journal of Mathematics. 152(1). 79–91. 24 indexed citations
20.
Engel, Klaus‐Jochen. (1988). Polynomial operator matrices. Medical Entomology and Zoology. 4 indexed citations

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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