Tosio Kato

50.3k total citations · 10 hit papers
115 papers, 28.0k citations indexed

About

Tosio Kato is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Tosio Kato has authored 115 papers receiving a total of 28.0k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Mathematical Physics, 50 papers in Applied Mathematics and 41 papers in Computational Theory and Mathematics. Recurrent topics in Tosio Kato's work include Spectral Theory in Mathematical Physics (27 papers), Matrix Theory and Algorithms (22 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Tosio Kato is often cited by papers focused on Spectral Theory in Mathematical Physics (27 papers), Matrix Theory and Algorithms (22 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Tosio Kato collaborates with scholars based in United States, Japan and Switzerland. Tosio Kato's co-authors include Gustavo Ponce, Hiroshi Fujita, Arne Jensen, Peter Heß, Thomas J.R. Hughes, Jerrold E. Marsden, Kyûya Masuda, Teruo Ikebe, Kenji Yajima and Hiroki Tanabe and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Development Economics and SIAM Journal on Numerical Analysis.

In The Last Decade

Tosio Kato

115 papers receiving 24.2k citations

Hit Papers

Perturbation Theory for Linear Operators 1957 2026 1980 2003 1995 1966 1966 1957 1988 2.5k 5.0k 7.5k
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.

  1. Perturbation Theory for Linear Operators
    1995 7.7k citations Tosio Kato profile →
  2. Perturbation theory for linear operators
    1966 5.3k citations Tosio Kato profile →
  3. Perturbation theory for linear operators
    1966 1.9k citations Tosio Kato profile →
  4. On the eigenfunctions of many‐particle systems in quantum mechanics
    1957 1.5k citations Tosio Kato profile →
  5. Commutator estimates and the euler and navier‐stokes equations
    1988 1.2k citations Tosio Kato et al. profile →
  6. On the Navier-Stokes initial value problem. I
    1964 817 citations Hiroshi Fujita, Tosio Kato profile →
  7. StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions
    1984 814 citations Tosio Kato profile →
  8. Nonlinear semigroups and evolution equations
    1967 610 citations Tosio Kato Journal of the Mathematical Society of Japan profile →
  9. The Cauchy problem for quasi-linear symmetric hyperbolic systems
    1975 539 citations Tosio Kato profile →
  10. Nonstationary flows of viscous and ideal fluids in R3
    1972 381 citations Tosio Kato Journal of Functional Analysis profile →

Peers

Tosio Kato
Shiing-Shen Chern United States
Lars Hörmander Sweden
Pierre‐Louis Lions France
Peter D. Lax United States
Israel Gohberg Israel
Haı̈m Brezis France
Elias M. Stein United States
Andrew J. Majda United States
David Gilbarg United States
Élliott H. Lieb United States
Shiing-Shen Chern United States
Tosio Kato
Citations per year, relative to Tosio Kato Tosio Kato (= 1×) peers Shiing-Shen Chern

Countries citing papers authored by Tosio Kato

Since Specialization
Citations

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

Fields of papers citing papers by Tosio Kato

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Tosio Kato

This figure shows the co-authorship network connecting the top 25 collaborators of Tosio Kato. A scholar is included among the top collaborators of Tosio 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 Tosio Kato. Tosio Kato 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.
Carasso, Alfred S. & Tosio Kato. (1991). On subordinated holomorphic semigroups. Transactions of the American Mathematical Society. 327(2). 867–878. 30 indexed citations
2.
Kato, Tosio. (1991). Positive commutators i[ƒ(P), g(Q)]. Journal of Functional Analysis. 96(1). 117–129. 2 indexed citations
3.
Howland, James S. & Tosio Kato. (1981). On a theorem of Ismagilov. Journal of Functional Analysis. 41(1). 37–39. 3 indexed citations
4.
Kato, Tosio & Kyûya Masuda. (1978). Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Journal of the Mathematical Society of Japan. 30(1). 43 indexed citations
5.
Kato, Tosio. (1978). On some Schrödinger operators with a singular complex potential. French digital mathematics library (Numdam). 5(1). 105–114. 16 indexed citations
6.
Kato, Tosio. (1976). Boundedness of some pseudo-differential operators. Osaka Journal of Mathematics. 13(1). 1–9. 34 indexed citations
7.
Kato, Tosio. (1973). Linear evolution equations of ``hyperbolic'' type, II. Journal of the Mathematical Society of Japan. 25(4). 192 indexed citations
8.
Kato, Tosio. (1973). Continuity of the Map S→|S| for Linear Operators. Proceedings of the Japan Academy Series B. 49(3). 157–160. 12 indexed citations
9.
Kato, Tosio. (1973). A remark to the preceding paper by Chernoff. Journal of Functional Analysis. 12(4). 415–417. 18 indexed citations
10.
Kato, Tosio. (1967). Nonlinear semigroups and evolution equations. Journal of the Mathematical Society of Japan. 19(4). 610 indexed citations breakdown →
11.
Kato, Tosio & Hiroshi Fujita. (1962). On the nonstationary Navier-Stokes system. Rendiconti del Seminario Matematico della Università di Padova. 32. 243–260. 178 indexed citations
12.
Kato, Tosio & Hiroki Tanabe. (1962). On the abstract evolution equation. OUKA (Osaka University Knowledge Archive) (Osaka University). 14(1). 107–133. 93 indexed citations
13.
Kato, Tosio. (1961). Fractional powers of dissipative operators. Journal of the Mathematical Society of Japan. 13(3). 207 indexed citations
14.
Kato, Tosio. (1957). On finite-dimensional perturbations of self-adjoint operators.. Journal of the Mathematical Society of Japan. 9(2). 49 indexed citations
15.
Kato, Tosio. (1954). On the semi-groups generated by Kolmogoroff's differential equations.. Journal of the Mathematical Society of Japan. 6(1). 42 indexed citations
16.
Kato, Tosio. (1953). Integration of the equation of evolution in a Banach space.. Journal of the Mathematical Society of Japan. 5(2). 191 indexed citations
17.
Kato, Tosio. (1952). On the perturbation theory of closed linear operators.. Journal of the Mathematical Society of Japan. 4(3-4). 16 indexed citations
18.
Kato, Tosio. (1951). Upper and Lower Bounds of Scattering Phases. Progress of Theoretical Physics. 6(3). 394–407. 17 indexed citations
19.
Kato, Tosio. (1951). On the existence of solutions of the helium wave equation. Transactions of the American Mathematical Society. 70(2). 212–218. 72 indexed citations
20.
Kato, Tosio. (1951). On the Existence of Solutions of the Helium Wave Equation. Transactions of the American Mathematical Society. 70(2). 212–212. 8 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Shiing-Shen Chern Breakdown of academic impact, for papers by Lars Hörmander Breakdown of academic impact, for papers by Pierre‐Louis Lions Breakdown of academic impact, for papers by Peter D. Lax Breakdown of academic impact, for papers by Israel Gohberg Breakdown of academic impact, for papers by Haı̈m Brezis Breakdown of academic impact, for papers by Elias M. Stein Breakdown of academic impact, for papers by Andrew J. Majda Breakdown of academic impact, for papers by David Gilbarg Breakdown of academic impact, for papers by Élliott H. Lieb
Rankless by CCL
2026