Hitoshi Ishii
Impact in
- Applied Mathematics top 0.05%
- Nonlinear Partial Differential Equations
- Geometric Analysis and Curvature Flows
- Nonlinear Differential Equations Analysis
- Modeling and Simulation top 0.2%
- Mathematical Biology Tumor Growth
Papers in
-
- Nonlinear Partial Differential Equations 49
- Geometric Analysis and Curvature Flows 33
- Nonlinear Differential Equations Analysis 14
-
- Advanced Mathematical Modeling in Engineering 33
- Optimization and Variational Analysis 14
- Co-authors
- Michael G. Crandall (3 shared papers)Pierre-Louis Lions (2 shared papers)Paul Dupuis (7 shared papers)Pierre‐Louis Lions (2 shared papers)Shigeaki Koike (4 shared papers)Keiichiro TOHGO (26 shared papers)E. N. Barron (2 shared papers)Panagiotis E. Souganidis (5 shared papers)
- Journals
- Communications in Partial Differential Equations (10 papers)Indiana University Mathematics Journal (9 papers)SIAM Journal on Mathematical Analysis (6 papers)Annales de l Institut Henri Poincaré C Analyse Non Linéaire (5 papers)Nonlinear Analysis (5 papers)
- Partner nations
- JapanUnited StatesItaly
In The Last Decade
Hitoshi Ishii
207 papers receiving 6.5k citations
Hitoshi Ishii's Hit Papers
Peers
Comparison fields: 5 of 142
- Applied Mathematics 3.4k
- Modeling and Simulation 922
- Computational Theory and Mathematics 2.7k
- Finance 1.7k
- Mathematical Physics 1.1k
Countries citing papers authored by Hitoshi Ishii
This map shows the geographic impact of Hitoshi Ishii'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 Hitoshi Ishii with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hitoshi Ishii more than expected).
Fields of papers citing papers by Hitoshi Ishii
This network shows the impact of papers produced by Hitoshi Ishii. 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 Hitoshi Ishii. The network helps show where Hitoshi Ishii may publish in the future.
Co-authors
The 25 scholars most cited alongside Hitoshi Ishii, 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 217 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 | 2889 |
| 2 | 1990 | 342 | |
| 3 | 1987 | 258 | |
| 4 | 1989 | 223 | |
| 5 | 1991 | 175 | |
| 6 | 1989 | 113 | |
| 7 | 1991 | 105 | |
| 8 | 1984 | 105 | |
| 9 | 1993 | 95 | |
| 10 | 1977 | 93 | |
| 11 | Hamilton-Jacobi Equations with Discontinuous Hamiltonians on Arbitrary Open Sets | 1985 | 85 |
| 12 | 1997 | 83 | |
| 13 | 1991 | 82 | |
| 14 | 1995 | 81 | |
| 15 | 1987 | 76 | |
| 16 | A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations | 1989 | 75 |
| 17 | 1990 | 75 | |
| 18 | 1987 | 72 | |
| 19 | 1985 | 67 | |
| 20 | 2009 | 61 |
About Hitoshi Ishii
Hitoshi Ishii is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mechanical Engineering, Electrical and Electronic Engineering and Mechanics of Materials, having authored 217 papers that have together received 7.4k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (49 papers), Advanced Mathematical Modeling in Engineering (33 papers), Geometric Analysis and Curvature Flows (33 papers), Fatigue and fracture mechanics (24 papers), Magnetic Properties and Applications (16 papers), Particle Accelerators and Free-Electron Lasers (15 papers), Nonlinear Differential Equations Analysis (14 papers) and Optimization and Variational Analysis (14 papers). The work is most often cited by research in Applied Mathematics (3.4k citations), Modeling and Simulation (922 citations), Computational Theory and Mathematics (2.7k citations), Finance (1.7k citations) and Mathematical Physics (1.1k citations). Hitoshi Ishii has collaborated with scholars based in Japan, United States and Italy. Frequent co-authors include Michael G. Crandall, Pierre-Louis Lions, Paul Dupuis, Pierre‐Louis Lions, Shigeaki Koike, Keiichiro TOHGO, E. N. Barron, Panagiotis E. Souganidis, Italo Capuzzo Dolcetta and L. C. Evans. Their work appears in journals such as Communications in Partial Differential Equations, Indiana University Mathematics Journal, SIAM Journal on Mathematical Analysis, Annales de l Institut Henri Poincaré C Analyse Non Linéaire and Nonlinear 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.