Shun’ichi Goto

1.5k total citations · 1 hit paper
11 papers, 856 citations indexed

About

Shun’ichi Goto is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Modeling and Simulation. According to data from OpenAlex, Shun’ichi Goto has authored 11 papers receiving a total of 856 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Applied Mathematics, 5 papers in Computational Theory and Mathematics and 3 papers in Modeling and Simulation. Recurrent topics in Shun’ichi Goto's work include Geometric Analysis and Curvature Flows (5 papers), Advanced Mathematical Modeling in Engineering (4 papers) and Nonlinear Partial Differential Equations (3 papers). Shun’ichi Goto is often cited by papers focused on Geometric Analysis and Curvature Flows (5 papers), Advanced Mathematical Modeling in Engineering (4 papers) and Nonlinear Partial Differential Equations (3 papers). Shun’ichi Goto collaborates with scholars based in Japan, United Kingdom and Norway. Shun’ichi Goto's co-authors include Yoshikazu Giga, Hitoshi Ishii, Munetake SATO and Charles M. Elliott and has published in prestigious journals such as Journal of Differential Geometry, SIAM Journal on Mathematical Analysis and Indiana University Mathematics Journal.

In The Last Decade

Shun’ichi Goto

10 papers receiving 734 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.

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

1991 590 citations Yoshikazu Giga, Shun’ichi Goto et al. Journal of Differential Geometry profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Shun’ichi Goto Japan	8	541	342	171	149	148	11	856
Robert Hardt United States	23	1.1k 2.1×	707 2.1×	106 0.6×	527 3.5×	673 4.5×	64	1.7k
Régis Monneau France	21	842 1.6×	671 2.0×	141 0.8×	287 1.9×	58 0.4×	107	1.4k
E. B. Saff United States	14	499 0.9×	150 0.4×	56 0.3×	88 0.6×	133 0.9×	58	782
Sergei M Nikol'skii Russia	8	688 1.3×	255 0.7×	56 0.3×	401 2.7×	63 0.4×	81	1.0k
Bernd Kawohl Germany	22	1.3k 2.3×	1.0k 3.0×	102 0.6×	551 3.7×	134 0.9×	71	1.5k
Bernhard Kawohl Germany	17	1.2k 2.3×	925 2.7×	179 1.0×	578 3.9×	188 1.3×	36	1.5k
Jean‐Michel Rakotoson France	18	819 1.5×	535 1.6×	78 0.5×	452 3.0×	34 0.2×	92	1.1k
Joseph Wloka Germany	8	264 0.5×	323 0.9×	204 1.2×	285 1.9×	37 0.3×	22	751
Aldo Pratelli Italy	20	923 1.7×	380 1.1×	35 0.2×	309 2.1×	278 1.9×	48	1.1k
Anthony J. Tromba United States	17	495 0.9×	125 0.4×	72 0.4×	199 1.3×	416 2.8×	53	857

Countries citing papers authored by Shun’ichi Goto

Since Specialization

Citations

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

Fields of papers citing papers by Shun’ichi Goto

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shun’ichi Goto. 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 Shun’ichi Goto. The network helps show where Shun’ichi Goto may publish in the future.

Co-authorship network of co-authors of Shun’ichi Goto

This figure shows the co-authorship network connecting the top 25 collaborators of Shun’ichi Goto. A scholar is included among the top collaborators of Shun’ichi Goto 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 Shun’ichi Goto. Shun’ichi Goto 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:

11 of 11 papers shown

1.

Goto, Shun’ichi, et al.. (2024). Error analyses of Sinc-collocation methods for exponential decay initial value problems. Nonlinear Theory and Its Applications IEICE. 15(3). 630–650.

2.

Elliott, Charles M., Yoshikazu Giga, & Shun’ichi Goto. (2003). Dynamic Boundary Conditions for Hamilton--Jacobi Equations. SIAM Journal on Mathematical Analysis. 34(4). 861–881. 8 indexed citations

3.

Goto, Shun’ichi. (1994). Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor. Differential and Integral Equations. 7(2). 22 indexed citations

4.

Giga, Yoshikazu & Shun’ichi Goto. (1992). Motion of hypersurfaces and geometric equations. Journal of the Mathematical Society of Japan. 44(1). 43 indexed citations

5.

Giga, Yoshikazu, Shun’ichi Goto, & Hitoshi Ishii. (1992). Global Existence of Weak Solutions for Interface Equations Coupled with Diffusion Equations. SIAM Journal on Mathematical Analysis. 23(4). 821–835. 33 indexed citations

6.

Giga, Yoshikazu, et al.. (1991). Comparison Principle and Convexity Preserving Properties for Singular Degenerate Parabolic Equations on Unbounded Domains(Evolution Equations and Applications to Nonlinear Problems). Kyoto University Research Information Repository (Kyoto University). 755. 10–27. 1 indexed citations

7.

Giga, Yoshikazu, et al.. (1991). Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Journal of Differential Geometry. 33(3). 590 indexed citations breakdown →

8.

Giga, Yoshikazu, Shun’ichi Goto, Hitoshi Ishii, & Munetake SATO. (1991). . Indiana University Mathematics Journal. 40(2). 443–443. 105 indexed citations

9.

Giga, Yoshikazu, et al.. (1991). Remarks on viscosity solutions for evolution equations. Proceedings of the Japan Academy Series A Mathematical Sciences. 67(10). 11 indexed citations

10.

Goto, Shun’ichi. (1990). Singular limit of the incompressible ideal magneto-fluid motion with respect to the Alfvén number. Hokkaido Mathematical Journal. 19(1). 6 indexed citations

11.

Giga, Yoshikazu, et al.. (1989). Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Proceedings of the Japan Academy Series A Mathematical Sciences. 65(7). 37 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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