Michael G. Crandall
Impact in
- Applied Mathematics top 0.01%
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Geometric Analysis and Curvature Flows
- Modeling and Simulation top 0.1%
- Mathematical Biology Tumor Growth
Papers in
-
- Nonlinear Partial Differential Equations 26
- Nonlinear Differential Equations Analysis 23
- Geometric Analysis and Curvature Flows 12
-
- Advanced Mathematical Modeling in Engineering 32
- Optimization and Variational Analysis 18
- Co-authors
- Pierre‐Louis Lions (15 shared papers)Paul H. Rabinowitz (9 shared papers)Hitoshi Ishii (3 shared papers)Pierre-Louis Lions (2 shared papers)L. C. Evans (5 shared papers)Thomas M. Liggett (3 shared papers)Amnon Pazy (7 shared papers)Luc C. Tartar (4 shared papers)
- Journals
- Transactions of the American Mathematical Society (12 papers)Proceedings of the American Mathematical Society (12 papers)Journal of Functional Analysis (11 papers)Israel Journal of Mathematics (6 papers)Archive for Rational Mechanics and Analysis (6 papers)
- Partner nations
- United StatesFranceJapan
In The Last Decade
Michael G. Crandall
109 papers receiving 14.3k citations
Michael G. Crandall's Hit Papers
Peers
Comparison fields: 5 of 129
- Applied Mathematics 8.6k
- Modeling and Simulation 2.0k
- Numerical Analysis 2.4k
- Computational Theory and Mathematics 7.1k
- Mathematical Physics 3.5k
Countries citing papers authored by Michael G. Crandall
This map shows the geographic impact of Michael G. Crandall'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 Michael G. Crandall with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael G. Crandall more than expected).
Fields of papers citing papers by Michael G. Crandall
This network shows the impact of papers produced by Michael G. Crandall. 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 Michael G. Crandall. The network helps show where Michael G. Crandall may publish in the future.
Co-authors
The 25 scholars most cited alongside Michael G. Crandall, 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 110 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | User’s guide to viscosity solutions of second order partial differential equations Hit paper breakdown → | 1992 | 3182 |
| 2 | Viscosity solutions of Hamilton-Jacobi equations Hit paper breakdown → | 1983 | 1935 |
| 3 | Bifurcation from simple eigenvalues Hit paper breakdown → | 1971 | 1547 |
| 4 | Some properties of viscosity solutions of Hamilton-Jacobi equations Hit paper breakdown → | 1984 | 883 |
| 5 | Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces Hit paper breakdown → | 1971 | 668 |
| 6 | Bifurcation, perturbation of simple eigenvalues, itand linearized stability Hit paper breakdown → | 1973 | 646 |
| 7 | 1977 | 526 | |
| 8 | 1984 | 475 | |
| 9 | 1980 | 363 | |
| 10 | 1975 | 324 | |
| 11 | 1982 | 305 | |
| 12 | 1972 | 278 | |
| 13 | 1983 | 251 | |
| 14 | 2004 | 246 | |
| 15 | 1996 | 211 | |
| 16 | 1982 | 183 | |
| 17 | 1969 | 181 | |
| 18 | 1980 | 180 | |
| 19 | 1970 | 176 | |
| 20 | 2001 | 170 |
About Michael G. Crandall
Michael G. Crandall is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis and Geometry and Topology, having authored 110 papers that have together received 16.7k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (32 papers), Nonlinear Partial Differential Equations (26 papers), Nonlinear Differential Equations Analysis (23 papers), Optimization and Variational Analysis (18 papers), Stability and Controllability of Differential Equations (17 papers), Differential Equations and Numerical Methods (13 papers), Geometric Analysis and Curvature Flows (12 papers) and advanced mathematical theories (11 papers). The work is most often cited by research in Applied Mathematics (8.6k citations), Modeling and Simulation (2.0k citations), Numerical Analysis (2.4k citations), Computational Theory and Mathematics (7.1k citations) and Mathematical Physics (3.5k citations). Michael G. Crandall has collaborated with scholars based in United States, France and Japan. Frequent co-authors include Pierre‐Louis Lions, Paul H. Rabinowitz, Hitoshi Ishii, Pierre-Louis Lions, L. C. Evans, Thomas M. Liggett, Amnon Pazy, Luc C. Tartar, Andrew J. Majda and Philippe Benilán. Their work appears in journals such as Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, Journal of Functional Analysis, Israel Journal of Mathematics and Archive for Rational Mechanics and Analysis.
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.