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
- Differential Equations and Boundary Problems
- Advanced Harmonic Analysis Research
- Holomorphic and Operator Theory
Papers in
-
- Differential Equations and Boundary Problems 33
- Algebraic and Geometric Analysis 16
- Mathematical Analysis and Transform Methods 15
-
- Numerical methods in inverse problems 23
- advanced mathematical theories 15
- Spectral Theory in Mathematical Physics 15
- Co-authors
- J. J. Duistermaat (3 shared papers)Stephen L. Hoffman (1 shared paper)Shmuel Agmon (1 shared paper)David Gilbarg (1 shared paper)John Wermer (1 shared paper)Gerd Grubb (3 shared papers)Anders Melin (2 shared papers)Michael E. Taylor (1 shared paper)
- Journals
- Communications on Pure and Applied Mathematics (9 papers)Acta Mathematica (9 papers)Arkiv för matematik (8 papers)Lecture notes in mathematics (5 papers)Journal d Analyse Mathématique (4 papers)
- Partner nations
- SwedenUnited StatesGermany
In The Last Decade
Lars Hörmander
153 papers receiving 17.6k citations
Lars Hörmander's Hit Papers
Peers
Comparison fields: 5 of 126
- Mathematical Physics 12.2k
- Applied Mathematics 12.2k
- Geometry and Topology 2.8k
- Computational Theory and Mathematics 5.2k
- Numerical Analysis 1.5k
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 23 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 162 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 | 3727 |
| 2 | Linear Partial Differential Operators Hit paper breakdown → | 1963 | 1903 |
| 3 | Fourier integral operators. I Hit paper breakdown → | 1971 | 1556 |
| 4 | Hypoelliptic second order differential equations Hit paper breakdown → | 1967 | 1538 |
| 5 | The Analysis of Linear Partial Differential Operators III Hit paper breakdown → | 2007 | 1191 |
| 6 | Estimates for translation invariant operators in Lp spaces Hit paper breakdown → | 1960 | 951 |
| 7 | The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis Hit paper breakdown → | 1983 | 830 |
| 8 | The Analysis of Linear Partial Differential Operators I Hit paper breakdown → | 2003 | 825 |
| 9 | L2 estimates and existence theorems for the $\bar \partial $ operator Hit paper breakdown → | 1965 | 583 |
| 10 | The spectral function of an elliptic operator Hit paper breakdown → | 1968 | 512 |
| 11 | 1964 | 498 | |
| 12 | Lectures on Nonlinear Hyperbolic Differential Equations Hit paper breakdown → | 1997 | 480 |
| 13 | 1972 | 383 | |
| 14 | 1979 | 360 | |
| 15 | 1998 | 355 | |
| 16 | 1966 | 338 | |
| 17 | 1966 | 311 | |
| 18 | 1969 | 280 | |
| 19 | 1955 | 233 | |
| 20 | 1976 | 211 |
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 162 papers that have together received 21.5k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (37 papers), Differential Equations and Boundary Problems (33 papers), Numerical methods in inverse problems (23 papers), Differential Equations and Numerical Methods (19 papers), Algebraic and Geometric Analysis (16 papers), advanced mathematical theories (15 papers), Spectral Theory in Mathematical Physics (15 papers) and Mathematical Analysis and Transform Methods (15 papers). The work is most often cited by research in Mathematical Physics (12.2k citations), Applied Mathematics (12.2k citations), Geometry and Topology (2.8k citations), Computational Theory and Mathematics (5.2k citations) and Numerical Analysis (1.5k citations). Lars Hörmander has collaborated with scholars based in Sweden, United States and Germany. Frequent co-authors include J. J. Duistermaat, Stephen L. Hoffman, Shmuel Agmon, David Gilbarg, John Wermer, Gerd Grubb, Anders Melin, Michael E. Taylor, Lars Gårding and Hikosaburo Komatsu. Their work appears in journals such as Communications on Pure and Applied Mathematics, Acta Mathematica, Arkiv för matematik, Lecture notes in 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.