Avner Friedman
Impact in
- Modeling and Simulation top 0.02%
- Mathematical Biology Tumor Growth
- Applied Mathematics top 0.01%
- Nonlinear Partial Differential Equations
- Differential Equations and Boundary Problems
Papers in
-
- Advanced Mathematical Modeling in Engineering 132
- Contact Mechanics and Variational Inequalities 29
-
- Nonlinear Partial Differential Equations 75
- Differential Equations and Boundary Problems 47
- Co-authors
- Luis Caffarelli (35 shared papers)Wenrui Hao (15 shared papers)Bei Hu (25 shared papers)Bryce McLeod (8 shared papers)Emmanuele DiBenedetto (7 shared papers)Fernando Reitich (12 shared papers)Michael Vogelius (5 shared papers)Hans Wilhelm Alt (7 shared papers)
- Journals
- Transactions of the American Mathematical Society (62 papers)Archive for Rational Mechanics and Analysis (31 papers)Journal of Differential Equations (30 papers)Indiana University Mathematics Journal (30 papers)Journal of Mathematical Analysis and Applications (24 papers)
- Partner nations
- United StatesChinaSpain
In The Last Decade
Avner Friedman
462 papers receiving 16.8k citations
Avner Friedman's Hit Papers
Peers
Comparison fields: 5 of 193
- Modeling and Simulation 3.3k
- Applied Mathematics 7.0k
- Mathematical Physics 4.8k
- Computational Theory and Mathematics 7.3k
- Numerical Analysis 2.1k
Countries citing papers authored by Avner Friedman
This map shows the geographic impact of Avner Friedman'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 Avner Friedman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Avner Friedman more than expected).
Fields of papers citing papers by Avner Friedman
This network shows the impact of papers produced by Avner Friedman. 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 Avner Friedman. The network helps show where Avner Friedman may publish in the future.
Co-authors
The 25 scholars most cited alongside Avner Friedman, 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 481 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Partial Differential Equations of Parabolic Type Hit paper breakdown → | 1964 | 2947 |
| 2 | Variational principles and free-boundary problems Hit paper breakdown → | 1982 | 724 |
| 3 | The IMA volumes in mathematics and its applications Hit paper breakdown → | 1986 | 557 |
| 4 | Blow-up of positive solutions of semilinear heat equations Hit paper breakdown → | 1985 | 459 |
| 5 | 1985 | 416 | |
| 6 | 1964 | 334 | |
| 7 | 2008 | 332 | |
| 8 | 1990 | 309 | |
| 9 | 1984 | 280 | |
| 10 | 2010 | 251 | |
| 11 | 1999 | 232 | |
| 12 | 1985 | 209 | |
| 13 | Nonlinear Parabolic Equations Involving Measures as Initial Conditions | 1981 | 189 |
| 14 | 1968 | 181 | |
| 15 | 2006 | 174 | |
| 16 | 2014 | 163 | |
| 17 | 2008 | 150 | |
| 18 | 1989 | 146 | |
| 19 | 1986 | 144 | |
| 20 | 1985 | 144 |
About Avner Friedman
Avner Friedman is a scholar working on Computational Theory and Mathematics, Applied Mathematics, Mathematical Physics, Modeling and Simulation and Molecular Biology, having authored 481 papers that have together received 19.5k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (132 papers), Nonlinear Partial Differential Equations (75 papers), Mathematical Biology Tumor Growth (61 papers), Numerical methods in inverse problems (48 papers), Differential Equations and Boundary Problems (47 papers), Stability and Controllability of Differential Equations (42 papers), Differential Equations and Numerical Methods (34 papers) and Contact Mechanics and Variational Inequalities (29 papers). The work is most often cited by research in Modeling and Simulation (3.3k citations), Applied Mathematics (7.0k citations), Mathematical Physics (4.8k citations), Computational Theory and Mathematics (7.3k citations) and Numerical Analysis (2.1k citations). Avner Friedman has collaborated with scholars based in United States, China and Spain. Frequent co-authors include Luis Caffarelli, Wenrui Hao, Bei Hu, Bryce McLeod, Emmanuele DiBenedetto, Fernando Reitich, Michael Vogelius, Hans Wilhelm Alt, Xinfu Chen and Xiulan Lai. Their work appears in journals such as Transactions of the American Mathematical Society, Archive for Rational Mechanics and Analysis, Journal of Differential Equations, Indiana University Mathematics Journal and Journal of Mathematical Analysis and Applications.
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.