Keiichi Kato

592 total citations
38 papers, 390 citations indexed

About

Keiichi Kato is a scholar working on Mathematical Physics, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Keiichi Kato has authored 38 papers receiving a total of 390 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 19 papers in Applied Mathematics and 10 papers in Statistical and Nonlinear Physics. Recurrent topics in Keiichi Kato's work include Advanced Mathematical Physics Problems (23 papers), Mathematical Analysis and Transform Methods (12 papers) and Spectral Theory in Mathematical Physics (11 papers). Keiichi Kato is often cited by papers focused on Advanced Mathematical Physics Problems (23 papers), Mathematical Analysis and Transform Methods (12 papers) and Spectral Theory in Mathematical Physics (11 papers). Keiichi Kato collaborates with scholars based in Japan, Mexico and France. Keiichi Kato's co-authors include Nakao Hayashi, Masaharu Kobayashi, Itaru Sato, Kenso Soai, Yoshihiro Ogi, Anne de Bouard, Takayoshi Ogawa, Kazuo Taniguchi, Masakazu Yamamoto and Pavel I. Naumkin and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and IEEE Transactions on Magnetics.

In The Last Decade

Keiichi Kato

33 papers receiving 361 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Keiichi Kato Japan	11	231	166	110	109	55	38	390
Lucas Hsu United States	8	67 0.3×	114 0.7×	124 1.1×	46 0.4×	12 0.2×	8	313
Eugene Lerman United States	15	631 2.7×	175 1.1×	196 1.8×	43 0.4×	12 0.2×	42	1.0k
Gerald W. Schwarz United States	13	575 2.5×	132 0.8×	148 1.3×	32 0.3×	10 0.2×	45	902
Maciej P. Wojtkowski United States	14	399 1.7×	71 0.4×	481 4.4×	30 0.3×	14 0.3×	32	637
L D Pustyl'nikov Russia	9	106 0.5×	30 0.2×	229 2.1×	31 0.3×	15 0.3×	60	324
Stephen C. Preston United States	11	67 0.3×	165 1.0×	77 0.7×	19 0.2×	8 0.1×	31	271
Philippe Bolle France	12	178 0.8×	95 0.6×	357 3.2×	18 0.2×	8 0.1×	23	469
Franklin P. Peterson United States	18	667 2.9×	118 0.7×	81 0.7×	55 0.5×	14 0.3×	62	986
Harold Levine United States	10	141 0.6×	88 0.5×	26 0.2×	179 1.6×	12 0.2×	19	507
David L. Rod Canada	13	103 0.4×	20 0.1×	377 3.4×	49 0.4×	20 0.4×	21	421

Countries citing papers authored by Keiichi Kato

Since Specialization

Citations

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

Fields of papers citing papers by Keiichi Kato

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Keiichi Kato

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

All Works

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20 of 20 papers shown

Kato, Keiichi, et al.. (2024). Non-smoothness of the fundamental solutions for Schrödinger equations with super-quadratic and spherically symmetric potential. Journal of Mathematical Physics. 65(7).

Kato, Keiichi, et al.. (2019). Simple proof of stationary phase method and application to oscillatory bifurcation problems. Nonlinear Analysis. 190. 111594–111594.

Kato, Keiichi, et al.. (2017). Remark on characterization of wave front set by wave packet transform. OUKA (Osaka University Knowledge Archive) (Osaka University). 54(2). 209–228. 2 indexed citations

Yamamoto, Masakazu, et al.. (2015). Local and global solvability and blow up for the drift-diffusion equation with the fractional dissipation in the critical space. Journal of Differential Equations. 258(9). 2983–3010. 9 indexed citations

Kato, Keiichi, et al.. (2014). Singularities for solutions to time dependent Schrödinger equations with sub-quadratic potential. SUT Journal of Mathematics. 50(2). 3 indexed citations

Yamamoto, Masakazu, et al.. (2014). Existence and analyticity of solutions to the drift-diffusion equation with critical dissipation. Hiroshima Mathematical Journal. 44(3). 5 indexed citations

Kato, Keiichi, et al.. (2013). BLOW UP OF SOLUTIONS TO THE SECOND SOUND EQUATION IN ONE SPACE DIMENSION. Kyushu Journal of Mathematics. 67(1). 129–142. 7 indexed citations

Kato, Keiichi, et al.. (2013). Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials. Journal of Functional Analysis. 266(2). 733–753. 20 indexed citations

Kato, Keiichi, et al.. (2012). Representation of Schrödinger operator of a free particle via short-time Fourier transform and its applications. Tohoku Mathematical Journal. 64(2). 17 indexed citations

10.

Kato, Keiichi, et al.. (2011). Remark on wave front sets of solutions to Schrödinger equation of a free particle and a harmonic oscillator. SUT Journal of Mathematics. 47(2). 12 indexed citations

11.

Yuasa, Sadayuki, Keiichi Kato, & Shigemitsu Okabe. (2003). Insulation characteristics of GIS under nonstandard lightning impulse oscillations: Insulation characteristics under double‐frequency oscillations with various frequencies and damping ratios. Electrical Engineering in Japan. 146(2). 11–19. 1 indexed citations

12.

Kato, Keiichi & Takayoshi Ogawa. (2000). ANALYTIC SMOOTHING EFFECT AND SINGLE POINT SINGULARITY FOR THE NONLINEAR SCHRODINGER EQUATIONS. Journal of the Korean Mathematical Society. 37(6). 1071–1084. 3 indexed citations

13.

Filippov, G.F., et al.. (1999). Analysis of equations of antisymmetrized molecular dynamics for some simple systems. 62(1). 95–107. 1 indexed citations

14.

Hayashi, Nakao, Keiichi Kato, & Pavel I. Naumkin. (1998). On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations. French digital mathematics library (Numdam). 27(3). 483–497. 7 indexed citations

15.

Hayashi, Nakao & Keiichi Kato. (1997). Analyticity in Time and Smoothing Effect of Solutions to Nonlinear Schrödinger Equations. Communications in Mathematical Physics. 184(2). 273–300. 28 indexed citations

16.

Filippov, G.F., et al.. (1996). Asymptotic equations for the harmonic-oscillator representation. Physics of Atomic Nuclei. 60(4). 554–557. 2 indexed citations

17.

Kato, Keiichi & Kazuo Taniguchi. (1996). Gevrey regularizing effect for nonlinear Schrodinger equations. Osaka Journal of Mathematics. 33(4). 863–880. 18 indexed citations

18.

Kato, Keiichi. (1996). NEW IDEA FOR PROOF OF ANALYTICITY OF SOLUTIONS TO ANALYTIC NONLINEAR ELLIPTIC EQUATIONS. SUT Journal of Mathematics. 32(2). 6 indexed citations

19.

Bouard, Anne de, Nakao Hayashi, & Keiichi Kato. (1995). Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 12(6). 673–725. 46 indexed citations

20.

Hayashi, Nakao & Keiichi Kato. (1995). Regularity in Time of Solutions to Nonlinear Schrödinger Equations. Journal of Functional Analysis. 128(2). 253–277. 11 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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