Lars Hörmander
Impact in
- Mathematical Physics top 0.01%
- Spectral Theory in Mathematical Physics
- Advanced Mathematical Physics Problems
- Numerical methods in inverse problems
- Applied Mathematics top 0.01%
- Mathematical Analysis and Transform Methods
- Advanced Harmonic Analysis Research
- Differential Equations and Boundary Problems
- Holomorphic and Operator Theory
Papers in
-
- Differential Equations and Boundary Problems 24
- Mathematical Analysis and Transform Methods 11
-
- advanced mathematical theories 14
- Numerical methods in inverse problems 13
- Spectral Theory in Mathematical Physics 12
- Co-authors
- J. J. Duistermaat (2 shared papers)Stephen L. Hoffman (1 shared paper)Shmuel Agmon (1 shared paper)David Gilbarg (1 shared paper)John Wermer (1 shared paper)Anders Melin (2 shared papers)Gerd Grubb (2 shared papers)Michael E. Taylor (1 shared paper)
- Journals
- Acta Mathematica (9 papers)Communications on Pure and Applied Mathematics (9 papers)Arkiv för matematik (8 papers)Annals of Mathematics (4 papers)Journal d Analyse Mathématique (4 papers)
- Partner nations
- SwedenUnited StatesUnited Kingdom
In The Last Decade
Lars Hörmander
108 papers receiving 15.6k citations
Lars Hörmander's Hit Papers
Peers
Comparison fields: 5 of 125
- Mathematical Physics 10.8k
- Applied Mathematics 10.8k
- Computational Theory and Mathematics 4.6k
- Geometry and Topology 2.5k
- Numerical Analysis 1.4k
Countries citing papers authored by Lars Hörmander
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
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-authors
The 20 scholars most cited alongside Lars Hörmander, 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 109 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The analysis of linear partial differential operators Hit paper breakdown → | 1990 | 3361 |
| 2 | Linear Partial Differential Operators Hit paper breakdown → | 1963 | 1707 |
| 3 | Hypoelliptic second order differential equations Hit paper breakdown → | 1967 | 1386 |
| 4 | Fourier integral operators. I Hit paper breakdown → | 1971 | 1354 |
| 5 | The Analysis of Linear Partial Differential Operators III Hit paper breakdown → | 2007 | 1109 |
| 6 | Estimates for translation invariant operators in Lp spaces Hit paper breakdown → | 1960 | 895 |
| 7 | The Analysis of Linear Partial Differential Operators I Hit paper breakdown → | 2003 | 770 |
| 8 | The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis Hit paper breakdown → | 1983 | 770 |
| 9 | L2 estimates and existence theorems for the $\bar \partial $ operator Hit paper breakdown → | 1965 | 494 |
| 10 | 1964 | 463 | |
| 11 | The spectral function of an elliptic operator Hit paper breakdown → | 1968 | 459 |
| 12 | Lectures on Nonlinear Hyperbolic Differential Equations Hit paper breakdown → | 1997 | 455 |
| 13 | 1998 | 331 | |
| 14 | 1972 | 324 | |
| 15 | 1979 | 313 | |
| 16 | 1966 | 292 | |
| 17 | 1966 | 290 | |
| 18 | 1969 | 243 | |
| 19 | 1955 | 200 | |
| 20 | 2005 | 187 |
About Lars Hörmander
Lars Hörmander is a scholar working on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Numerical Analysis and Geometry and Topology, having authored 109 papers that have together received 19.0k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (28 papers), Differential Equations and Boundary Problems (24 papers), Differential Equations and Numerical Methods (16 papers), advanced mathematical theories (14 papers), Numerical methods in inverse problems (13 papers), Spectral Theory in Mathematical Physics (12 papers), Numerical methods for differential equations (11 papers) and Mathematical Analysis and Transform Methods (11 papers). The work is most often cited by research in Mathematical Physics (10.8k citations), Applied Mathematics (10.8k citations), Computational Theory and Mathematics (4.6k citations), Geometry and Topology (2.5k citations) and Numerical Analysis (1.4k citations). Lars Hörmander has collaborated with scholars based in Sweden, United States and United Kingdom. Frequent 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 Hikosaburo Komatsu. Their work appears in journals such as Acta Mathematica, Communications on Pure and Applied Mathematics, Arkiv för matematik, Annals of Mathematics and Journal d Analyse Mathématique.
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.