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Tosio Kato

Active 1949–2000

68
Papers
37,476
Citations
51
h-index
68
i10-index

Citations

Citations per year for Tosio Kato1967: 34 citations1968: 23 citations1969: 29 citations1970: 40 citations1971: 31 citations1972: 44 citations1973: 52 citations1974: 34 citations1975: 50 citations1976: 43 citations1977: 60 citations1978: 49 citations1979: 44 citations1980: 52 citations1981: 61 citations1982: 58 citations1983: 55 citations1984: 66 citations1985: 69 citations1986: 51 citations1987: 47 citations1988: 52 citations1989: 44 citations1990: 53 citations1991: 72 citations1992: 71 citations1993: 84 citations1994: 70 citations1995: 84 citations1996: 86 citations1997: 77 citations1998: 105 citations1999: 93 citations2000: 131 citations2001: 145 citations2002: 112 citations2003: 146 citations2004: 144 citations2005: 163 citations2006: 174 citations2007: 163 citations2008: 157 citations2009: 158 citations2010: 150 citations2011: 164 citations2012: 164 citations2013: 173 citations2014: 158 citations2015: 170 citations2016: 172 citations2017: 159 citations2018: 143 citations2019: 182 citations2020: 196 citations2021: 188 citations2022: 187 citations2023: 105 citations2024: 141 citations2025: 101 citations2026: 31 citations

Citation sources

Countries

World map of the countries and regions citing this authorUnited States: 1,632 citing papers, 24.4% of this breakdownGermany: 666 citing papers, 10% of this breakdownFrance: 659 citing papers, 9.9% of this breakdownChina: 478 citing papers, 7.2% of this breakdownUnited Kingdom: 306 citing papers, 4.6% of this breakdownItaly: 281 citing papers, 4.2% of this breakdownJapan: 265 citing papers, 4% of this breakdownCanada: 182 citing papers, 2.7% of this breakdownSpain: 174 citing papers, 2.6% of this breakdownRussia: 170 citing papers, 2.5% of this breakdownAustralia: 124 citing papers, 1.9% of this breakdownSwitzerland: 124 citing papers, 1.8% of this breakdown
0%24.4%Other 24.2%

Institutions

Fields

  • Mathematics38.5%
  • Computer Science28%
  • Engineering16.2%
  • Physics and Astronomy11.4%
  • Medicine1.6%
  • Economics, Econometrics and Finance0.9%
  • Other3.4%

Topics

  • Advanced Mathematical Modeling in Engineering10%
  • Spectral Theory in Mathematical Physics6%
  • Matrix Theory and Algorithms5.7%
  • Stability and Controllability of Differential Equations4.7%
  • Numerical methods in inverse problems4.3%
  • Advanced Mathematical Physics Problems3.7%
  • Other65.6%

Coauthors

All papers

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  1. Perturbation Theory for Linear Operators

    Authors: Tosio Kato - Classics in mathematics 1966 cited by 16,723

  2. On the Adiabatic Theorem of Quantum Mechanics

    Authors: Tosio Kato - Journal of the Physical Society of Japan 1950 cited by 1,066

  3. On the eigenfunctions of many‐particle systems in quantum mechanics

    Authors: Tosio Kato - Communications on Pure and Applied Mathematics 1957 cited by 2,036

  4. StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions

    Authors: Tosio Kato - Mathematische Zeitschrift 1984 cited by 1,326

  5. Commutator estimates and the euler and navier‐stokes equations

    Authors: Tosio Kato, Gustavo Ponce - Communications on Pure and Applied Mathematics 1988 cited by 1,874

  6. On the Navier-Stokes initial value problem. I

    Authors: Hiroshi Fujita, Tosio Kato - Archive for Rational Mechanics and Analysis 1964 cited by 1,313

  7. The Cauchy problem for quasi-linear symmetric hyperbolic systems

    Authors: Tosio Kato - Archive for Rational Mechanics and Analysis 1975 cited by 920

  8. Estimation of Iterated Matrices, with application to the von Neumann condition

    Authors: Tosio Kato - Numerische Mathematik 1960 cited by 95

  9. Nonlinear semigroups and evolution equations

    Authors: Tosio Kato - Journal of the Mathematical Society of Japan 1967 cited by 836

  10. Nonstationary flows of viscous and ideal fluids in R3

    Authors: Tosio Kato - Journal of Functional Analysis 1972 cited by 591

  11. A Short Introduction to Perturbation Theory for Linear Operators

    Authors: Tosio Kato - 1982 cited by 414

  12. Fractional powers of dissipative operators

    Authors: Tosio Kato - Journal of the Mathematical Society of Japan 1961 cited by 318

  13. Notes on some inequalities for linear operators

    Authors: Tosio Kato - Mathematische Annalen 1952 cited by 210

  14. Quasi-linear equations of evolution, with applications to partial differential equations

    Authors: Tosio Kato - Lecture notes in mathematics 1975 cited by 874

  15. Perturbation theory for nullity, deficiency and other quantities of linear operators

    Authors: Tosio Kato - Journal d Analyse Mathématique 1958 cited by 524

  16. On some linear and nonlinear eigenvalue problems with an indefinite weight function

    Authors: Peter Heß, Tosio Kato - Communications in Partial Differential Equations 1980 cited by 295

  17. On the Upper and Lower Bounds of Eigenvalues

    Authors: Tosio Kato - Journal of the Physical Society of Japan 1949 cited by 259

  18. Strong solutions of the Navier-Stokes equation in Morrey spaces

    Authors: Tosio Kato - Bulletin of the Brazilian Mathematical Society New Series 1992 cited by 246

  19. Extension and Representation of Divergence-free Vector Fields on Bounded Domains

    Authors: Tosio Kato, Marius Mitrea, Gustavo Ponce, Michael E. Taylor - Mathematical Research Letters 2000 cited by 49

  20. Spectral properties of Schrödinger operators and time-decay of the wave functions

    Authors: Arne Jensen, Tosio Kato - Duke Mathematical Journal 1979 cited by 600

  21. On the Korteweg-de Vries equation

    Authors: Tosio Kato - manuscripta mathematica 1979 cited by 314

  22. Integration of the equation of evolution in a Banach space.

    Authors: Tosio Kato - Journal of the Mathematical Society of Japan 1953 cited by 313

  23. Linear evolution equations of ``hyperbolic'' type, II

    Authors: Tosio Kato - Journal of the Mathematical Society of Japan 1973 cited by 287

  24. On nonlinear Schrödinger equations, II.H S -solutions and unconditional well-posedness

    Authors: Tosio Kato - Journal d Analyse Mathématique 1995 cited by 254