Shuji Machihara

706 total citations
35 papers, 468 citations indexed

About

Shuji Machihara is a scholar working on Mathematical Physics, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, Shuji Machihara has authored 35 papers receiving a total of 468 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 20 papers in Applied Mathematics and 8 papers in Control and Systems Engineering. Recurrent topics in Shuji Machihara's work include Advanced Mathematical Physics Problems (29 papers), Mathematical Analysis and Transform Methods (12 papers) and Spectral Theory in Mathematical Physics (12 papers). Shuji Machihara is often cited by papers focused on Advanced Mathematical Physics Problems (29 papers), Mathematical Analysis and Transform Methods (12 papers) and Spectral Theory in Mathematical Physics (12 papers). Shuji Machihara collaborates with scholars based in Japan and United Kingdom. Shuji Machihara's co-authors include Tohru Ozawa, Kenji Nakanishi, Hidemitsu Wadade, Kimitoshi Tsutaya, Yoshihisa Nakamura, Makoto Nakamura, Nikolaos Bournaveas, Neal Bez, Mitsuru Sugimoto and Jonathan Bennett and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Journal of Differential Equations.

In The Last Decade

Shuji Machihara

33 papers receiving 426 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Shuji Machihara Japan 12 372 257 97 79 69 35 468
Kimitoshi Tsutaya Japan 10 306 0.8× 118 0.5× 164 1.7× 101 1.3× 37 0.5× 33 335
Sigmund Selberg Norway 15 548 1.5× 311 1.2× 178 1.8× 164 2.1× 55 0.8× 30 604
Makoto Nakamura Japan 12 353 0.9× 204 0.8× 99 1.0× 136 1.7× 20 0.3× 37 386
Ioan Bejenaru United States 11 397 1.1× 259 1.0× 126 1.3× 118 1.5× 17 0.2× 22 432
J. L. Joly France 11 202 0.5× 184 0.7× 91 0.9× 61 0.8× 48 0.7× 16 361
Nikolaos Tzirakis United States 13 426 1.1× 172 0.7× 253 2.6× 125 1.6× 17 0.2× 34 460
T. Tao United States 3 338 0.9× 145 0.6× 242 2.5× 65 0.8× 29 0.4× 4 389
Slim Ibrahim Canada 14 477 1.3× 406 1.6× 158 1.6× 167 2.1× 16 0.2× 53 632
Hichem Hajaiej United States 13 458 1.2× 387 1.5× 122 1.3× 108 1.4× 37 0.5× 80 619
Xiaohua Yao China 12 258 0.7× 151 0.6× 135 1.4× 23 0.3× 18 0.3× 47 421

Countries citing papers authored by Shuji Machihara

Since Specialization
Citations

This map shows the geographic impact of Shuji Machihara'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 Shuji Machihara with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Shuji Machihara more than expected).

Fields of papers citing papers by Shuji Machihara

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shuji Machihara. 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 Shuji Machihara. The network helps show where Shuji Machihara may publish in the future.

Co-authorship network of co-authors of Shuji Machihara

This figure shows the co-authorship network connecting the top 25 collaborators of Shuji Machihara. A scholar is included among the top collaborators of Shuji Machihara 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 Shuji Machihara. Shuji Machihara is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Machihara, Shuji, et al.. (2024). Global and Local Solutions of Stochastic Nonlinear Schrödinger System With Quadratic Interaction. Bulletin of the Iranian Mathematical Society.. 50(2). 1 indexed citations
2.
Bez, Neal, Shuji Machihara, & Tohru Ozawa. (2023). Revisiting the Rellich inequality. Mathematische Zeitschrift. 303(2).
3.
Machihara, Shuji, et al.. (2022). Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation. Journal of Hyperbolic Differential Equations. 19(3). 407–437. 2 indexed citations
4.
Bez, Neal, Shuji Machihara, & Tohru Ozawa. (2020). Hardy type inequalities with spherical derivatives. Partial Differential Equations and Applications. 1(1). 2 indexed citations
5.
Bennett, Jonathan, et al.. (2020). A supersolutions perspective on hypercontractivity. Annali di Matematica Pura ed Applicata (1923 -). 199(5). 2105–2116. 2 indexed citations
6.
Machihara, Shuji, et al.. (2016). Well-posedness for the dimension-reduced Chern–Simons–Dirac system. Journal of Evolution Equations. 17(3). 1031–1048. 1 indexed citations
7.
Machihara, Shuji, et al.. (2015). Well-Posedness for the Cauchy Problem for a System of Semirelativistic Equations. Communications in Mathematical Physics. 338(1). 367–391. 3 indexed citations
8.
Ozawa, Tohru, et al.. (2015). Remark on a semirelativistic equation in the energy space. 53. 473–478. 5 indexed citations
9.
Machihara, Shuji, et al.. (2015). Sharp Well-Posedness and Ill-Posedness for the Chern–Simons–Dirac System in One Dimension. International Mathematics Research Notices. 2016(6). 1640–1694. 7 indexed citations
10.
Machihara, Shuji, et al.. (2014). Ill-posedness of the Cauchy problem for the Chern–Simons–Dirac system in one dimension. Journal of Differential Equations. 258(4). 1356–1394. 7 indexed citations
11.
Machihara, Shuji, et al.. (2014). On the semilinear Schrödinger equation with time dependent coefficients. Mathematische Nachrichten. 287(17-18). 1986–2001. 4 indexed citations
12.
Machihara, Shuji & Tohru Ozawa. (2013). Some inequalities related to the Lorentz spaces. Hokkaido Mathematical Journal. 42(2). 1 indexed citations
13.
Machihara, Shuji, Tohru Ozawa, & Hidemitsu Wadade. (2013). Hardy type inequalities on balls. Tohoku Mathematical Journal. 65(3). 18 indexed citations
14.
Bournaveas, Nikolaos, et al.. (2012). Local and global well posedness for the Chern-Simons-Dirac system in one dimension. Differential and Integral Equations. 25(7/8). 699–718. 9 indexed citations
15.
Machihara, Shuji, et al.. (2010). Well-posedness for nonlinear Dirac equations in one dimension. Kyoto journal of mathematics. 50(2). 24 indexed citations
16.
Machihara, Shuji. (2007). DIRAC EQUATION WITH CERTAIN QUADRATIC NONLINEARITIES IN ONE SPACE DIMENSION. Communications in Contemporary Mathematics. 9(3). 421–435. 8 indexed citations
17.
Machihara, Shuji, Makoto Nakamura, Kenji Nakanishi, & Tohru Ozawa. (2004). Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. Journal of Functional Analysis. 219(1). 1–20. 2 indexed citations
18.
Machihara, Shuji & Yoshihisa Nakamura. (2003). The inviscid limit for the complex Ginzburg–Landau equation. Journal of Mathematical Analysis and Applications. 281(2). 552–564. 8 indexed citations
19.
Machihara, Shuji & Tohru Ozawa. (2002). Interpolation inequalities in Besov spaces. Proceedings of the American Mathematical Society. 131(5). 1553–1556. 89 indexed citations
20.
Machihara, Shuji. (2002). Small data global solutions for Dirac-Klein-Gordon equation. Differential and Integral Equations. 15(12). 4 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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