Lars Hörmander

35.7k total citations · 11 hit papers
110 papers, 19.0k citations indexed

About

Lars Hörmander is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Lars Hörmander has authored 110 papers receiving a total of 19.0k indexed citations (citations by other indexed papers that have themselves been cited), including 60 papers in Applied Mathematics, 47 papers in Mathematical Physics and 39 papers in Computational Theory and Mathematics. Recurrent topics in Lars Hörmander's work include Advanced Mathematical Modeling in Engineering (28 papers), Differential Equations and Boundary Problems (24 papers) and Differential Equations and Numerical Methods (16 papers). Lars Hörmander is often cited by papers focused on Advanced Mathematical Modeling in Engineering (28 papers), Differential Equations and Boundary Problems (24 papers) and Differential Equations and Numerical Methods (16 papers). Lars Hörmander collaborates with scholars based in Sweden, United States and United Kingdom. Lars Hörmander's co-authors include J. J. Duistermaat, Stephen L. Hoffman, Shmuel Agmon, David Gilbarg, John Wermer, Anders Melin, Gerd Grubb, Michael E. Taylor, Lars Gårding and Johannes Sjöstrand and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Lecture notes in mathematics.

In The Last Decade

Lars Hörmander

109 papers receiving 15.5k citations

Hit Papers

The analysis of linear pa... 1960 2026 1982 2004 1990 1963 1967 1971 2007 1000 2.0k 3.0k

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Lars Hörmander 10.8k 10.7k 4.6k 2.5k 2.1k 110 19.0k
Elias M. Stein 18.0k 1.7× 11.1k 1.0× 4.0k 0.9× 2.0k 0.8× 858 0.4× 96 23.5k
Israel Gohberg 5.0k 0.5× 4.7k 0.4× 5.5k 1.2× 871 0.3× 1.6k 0.8× 332 12.0k
Haı̈m Brezis 14.9k 1.4× 8.0k 0.7× 12.6k 2.7× 1.3k 0.5× 1.2k 0.6× 182 21.0k
Neil S. Trudinger 14.4k 1.3× 6.3k 0.6× 9.7k 2.1× 3.4k 1.4× 688 0.3× 125 19.6k
Louis Nirenberg 15.7k 1.5× 7.0k 0.7× 10.1k 2.2× 2.5k 1.0× 765 0.4× 95 20.0k
David Gilbarg 9.7k 0.9× 4.9k 0.5× 7.3k 1.6× 1.6k 0.6× 588 0.3× 20 14.5k
Tosio Kato 11.5k 1.1× 14.9k 1.4× 8.4k 1.8× 1.5k 0.6× 4.9k 2.3× 115 28.0k
Peter D. Lax 7.5k 0.7× 5.0k 0.5× 1.6k 0.4× 1.1k 0.4× 3.8k 1.8× 159 19.3k
Carlos E. Kenig 8.4k 0.8× 9.2k 0.9× 4.2k 0.9× 570 0.2× 3.6k 1.7× 255 13.1k
Jean Bourgain 5.9k 0.5× 8.7k 0.8× 2.2k 0.5× 2.0k 0.8× 3.5k 1.7× 339 14.0k

Countries citing papers authored by Lars Hörmander

Since Specialization
Citations

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

Fields of papers citing papers by Lars Hörmander

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Lars Hörmander. 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 Lars Hörmander. The network helps show where Lars Hörmander may publish in the future.

Co-authorship network of co-authors of Lars Hörmander

This figure shows the co-authorship network connecting the top 25 collaborators of Lars Hörmander. A scholar is included among the top collaborators of Lars Hörmander 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 Lars Hörmander. Lars Hörmander 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.
Hörmander, Lars. (2005). Differential operators with constant coefficients. Springer eBooks. 40 indexed citations
2.
Hörmander, Lars. (2004). The null space of the ¯ -Neumann operator. Annales de l’institut Fourier. 54(5). 1305–1369. 9 indexed citations
3.
Hörmander, Lars. (2003). The Analysis of Linear Partial Differential Operators I. 745 indexed citations breakdown →
4.
Hörmander, Lars. (2001). Asgeirsson's Mean Value Theorem and Related Identities. Journal of Functional Analysis. 184(2). 377–401. 5 indexed citations
5.
Hörmander, Lars. (1997). On the Legendre and Laplace transformations. Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze. 25(6). 517–568. 3 indexed citations
6.
Hörmander, Lars & Anders Melin. (1996). Partial Differential Equations and Mathematical Physics : The Danish-Swedish Analysis Seminar, 1995. CERN Document Server (European Organization for Nuclear Research). 1 indexed citations
7.
Duistermaat, J. J., Lars Hörmander, Victor Guillemin, & Jochen Brüning. (1994). Mathematics past and present : Fourier integral operators : selected classical articles. Springer eBooks. 1 indexed citations
8.
Hörmander, Lars. (1993). Remarks on Holmgren's uniqueness theorem. Annales de l’institut Fourier. 43(5). 1223–1251. 13 indexed citations
9.
Hörmander, Lars. (1993). Asymptotic behavior of Fourier-Laplace transform. Journées Équations aux dérivées partielles. 1–9. 1 indexed citations
10.
Bernhardsson, Bo & Lars Hörmander. (1992). An Extension of Bohr's Inequality. Lund University Publications (Lund University). 179–194. 4 indexed citations
11.
Hörmander, Lars. (1990). The analysis of linear partial differential operators. CERN Document Server (European Organization for Nuclear Research). 3321 indexed citations breakdown →
12.
Hörmander, Lars. (1990). Distribution theory and Fourier analysis. Springer eBooks. 119 indexed citations
13.
Hörmander, Lars. (1990). A remark on the characteristic Cauchy problem. Journal of Functional Analysis. 93(2). 270–277. 30 indexed citations
14.
Hörmander, Lars. (1987). Remarks on the Klein-Gordon equation. Journées Équations aux dérivées partielles. 1–9. 10 indexed citations
15.
Hörmander, Lars. (1981). Théorie de la diffusion à courte portée pour des opérateurs à caractéristiques simples. French digital mathematics library (Numdam). 1–18. 2 indexed citations
16.
Hörmander, Lars. (1979). Seminar on singularities of solutions of linear partial differential equations. 14 indexed citations
17.
Hörmander, Lars. (1964). Linear Partial Differential Operators /by Lars Hörmander. Springer eBooks. 2 indexed citations
18.
Hörmander, Lars. (1961). Hypoelliptic differential operators. Annales de l’institut Fourier. 11. 477–492. 26 indexed citations
19.
Hörmander, Lars. (1961). Weak and strong extensions of differential operators. Communications on Pure and Applied Mathematics. 14(3). 371–379. 22 indexed citations
20.
Hörmander, Lars. (1955). On the theory of general partial differential operators. Acta Mathematica. 94(0). 161–248. 199 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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