Hitoshi Ishii

12.1k total citations · 1 hit paper
217 papers, 7.4k citations indexed

About

Hitoshi Ishii is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mechanical Engineering. According to data from OpenAlex, Hitoshi Ishii has authored 217 papers receiving a total of 7.4k indexed citations (citations by other indexed papers that have themselves been cited), including 74 papers in Applied Mathematics, 49 papers in Computational Theory and Mathematics and 48 papers in Mechanical Engineering. Recurrent topics in Hitoshi Ishii's work include Nonlinear Partial Differential Equations (49 papers), Advanced Mathematical Modeling in Engineering (33 papers) and Geometric Analysis and Curvature Flows (33 papers). Hitoshi Ishii is often cited by papers focused on Nonlinear Partial Differential Equations (49 papers), Advanced Mathematical Modeling in Engineering (33 papers) and Geometric Analysis and Curvature Flows (33 papers). Hitoshi Ishii collaborates with scholars based in Japan, United States and Italy. Hitoshi Ishii's 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 and has published in prestigious journals such as Acta Materialia, IEEE Transactions on Power Electronics and IEEE Transactions on Biomedical Engineering.

In The Last Decade

Hitoshi Ishii

207 papers receiving 6.5k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

User’s guide to viscosity solutions of second order partial differential equations

1992 2.9k citations Michael G. Crandall, Hitoshi Ishii et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Hitoshi Ishii Japan	35	3.4k	2.7k	1.7k	1.1k	934	217	7.4k
Viorel Barbu Romania	36	2.6k 0.8×	4.0k 1.5×	877 0.5×	1.8k 1.7×	3.0k 3.2×	237	6.7k
Panagiotis E. Souganidis United States	39	2.2k 0.7×	2.0k 0.7×	1.2k 0.7×	1.3k 1.2×	546 0.6×	130	5.7k
V. A. Solonnikov Russia	26	4.9k 1.4×	3.6k 1.4×	405 0.2×	2.8k 2.6×	1.9k 2.0×	159	8.0k
Eberhard Zeidler Germany	21	3.0k 0.9×	3.9k 1.4×	212 0.1×	1.5k 1.3×	1.1k 1.2×	54	7.3k
Luigi Ambrosio Italy	46	6.6k 1.9×	3.6k 1.4×	423 0.3×	2.7k 2.5×	601 0.6×	175	11.4k
Pierre-Louis Lions France	15	1.9k 0.6×	1.4k 0.5×	2.0k 1.2×	855 0.8×	557 0.6×	20	5.4k
Francesco Mainardi Italy	53	4.8k 1.4×	509 0.2×	518 0.3×	1.4k 1.2×	1.7k 1.8×	155	16.3k
O. Ladyženskaja United Kingdom	2	2.9k 0.8×	2.6k 1.0×	394 0.2×	1.8k 1.6×	1.1k 1.2×	4	5.5k
David Kinderlehrer United States	33	2.1k 0.6×	3.2k 1.2×	121 0.1×	992 0.9×	434 0.5×	117	6.6k
O. A. Ladyzhenskai︠a︡ Russia	10	4.0k 1.2×	3.7k 1.4×	297 0.2×	2.3k 2.1×	1.2k 1.3×	19	6.5k

Countries citing papers authored by Hitoshi Ishii

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Hitoshi Ishii

This figure shows the co-authorship network connecting the top 25 collaborators of Hitoshi Ishii. A scholar is included among the top collaborators of Hitoshi Ishii based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Hitoshi Ishii. Hitoshi Ishii is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Birindelli, Isabeau, et al.. (2023). Propagation of minima for nonlocal operators. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 154(4). 1033–1046. 1 indexed citations

Birindelli, Isabeau, et al.. (2020). Positivity sets of supersolutions of degenerate elliptic equations and the strong maximum principle. Transactions of the American Mathematical Society. 374(1). 539–564. 2 indexed citations

Ishii, Hitoshi & Antonio Siconolfi. (2020). The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space. Communications in Partial Differential Equations. 45(6). 525–560. 16 indexed citations

Matsumori, Hiroaki, et al.. (2017). Three-phase AC Filter Inductor Design for Three-phase PWM Inverter for Conversion Efficiency Improvement at Low Load. IEEJ Transactions on Industry Applications. 137(5). 395–405. 1 indexed citations

Miwa, Yoshihiro, et al.. (2017). Study on Low-loss Design of Inductor Used for Buck-chopper Circuit Based on Iron Loss Characteristic Considering Pre-magnetization. IEEJ Transactions on Industry Applications. 137(5). 385–394. 3 indexed citations

Ishii, Hitoshi, Hiroyoshi Mitake, & Hung V. Tran. (2016). The vanishing discount problem and viscosity Mather measures. Part 1: The problem on a torus. Journal de Mathématiques Pures et Appliquées. 108(2). 125–149. 24 indexed citations

Shimizu, Toshihisa, et al.. (2013). Iron Loss Calculation of AC Filter Inductor for Three Phase PWM Inverters. IEEJ Transactions on Industry Applications. 133(10). 1009–1021. 6 indexed citations

Shimizu, Toshihisa, et al.. (2013). Iron Loss Calculation of AC Filter Inductor for Three Phase PWM Inverters. IEEJ Transactions on Sensors and Micromachines. 133(10). 1009–1021. 3 indexed citations

Shimizu, Toshihisa, et al.. (2012). Verification of Iron Loss Calculation Method using a High-Precision Iron Loss Analyzer. IEEJ Transactions on Industry Applications. 133(1). 84–93. 19 indexed citations

10.

Shimizu, Toshihisa, et al.. (2009). Iron loss evaluation of AC filter inductor core in a PWM inverter. European Conference on Power Electronics and Applications. 1–8. 6 indexed citations

11.

Ishii, Hitoshi, et al.. (2002). Evaluation of Fracture Toughness of Ceramics-Metal Functionally Graded Material Using Stable Crack Growth in Three-Point-Bending Specimen.. Journal of the Society of Materials Science Japan. 51(8). 906–911. 1 indexed citations

12.

Ishii, Hitoshi, et al.. (1999). Threshold dynamics type approximation schemes for propagating fronts. Journal of the Mathematical Society of Japan. 51(2). 45 indexed citations

13.

Ishii, Hitoshi. (1999). Hopf-Lax formulas for Hamilton-Jacobi equations with semicontinuous initial data (Singularity theory and Differential equations). Kyoto University Research Information Repository (Kyoto University). 1111. 144–156. 1 indexed citations

14.

Ishii, Hitoshi, et al.. (1998). Fracture Mechanics. Cross Sectional Profiles and Dimensions of Fatigue Striations.. Journal of the Society of Materials Science Japan. 47(8). 852–857. 1 indexed citations

15.

Cho, Young Tae, Keiichiro TOHGO, & Hitoshi Ishii. (1997). Finite Element Analysis of a Cracked Ellipsoidal Inhomogeneity in an Infinite Body and Its Load Carrying Capacity.. JSME International Journal Series B. 40(3). 234–241. 1 indexed citations

16.

Ishii, Hitoshi. (1987). A Simple, Direct Proof of Uniqueness for Solutions of the Hamilton-Jacobi Equations of Eikonal Type. Proceedings of the American Mathematical Society. 100(2). 247–247. 23 indexed citations

17.

Crandall, Michael G., Hitoshi Ishii, & Pierre-Louis Lions. (1987). Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Journal of the Mathematical Society of Japan. 39(4). 72 indexed citations

18.

Ishii, Hitoshi. (1983). Remarks on Existence of Viscosity Solutions of Hamilton-Jacobi Equations. 5–24. 21 indexed citations

19.

Koshiba, Masanori, Hitoshi Ishii, & Michio Suzuki. (1982). Improved Equivalent Network Analysis of a Dielectric Waveguide Placed on a Ground Plane. IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences. 65(10). 572–578. 2 indexed citations

20.

Ishii, Hitoshi. (1980). Remarks on Evolution Equations with Almost Periodic Forcing Terms. 55–71. 2 indexed citations

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.

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