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## Kato, Tosio

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 Author ID: kato.tosio Published as: Kato, T.; Kato, Tosio; Katô, Tosio External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
 Documents Indexed: 149 Publications since 1950, including 10 Books Biographic References: 5 Publications
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#### Co-Authors

 114 single-authored 5 Ponce, Gustavo 3 Fujita, Hiroshi 2 Hess, Peter O. 2 Jensen, Arne 2 Kuroda, Shige Toshi 2 Masuda, Kyûya 2 Tanabe, Hiroki 2 Yajima, Kenji 1 Alsholm, Preben 1 Arendt, Wolfgang 1 Beale, J. Thomas 1 Brézis, Haïm 1 Carasso, Alfred S. 1 Chernoff, Paul R. 1 Cohen, Joel E. 1 Fitzpatrick, P. Michael 1 Friedland, Shmuel 1 Hersh, Reuben 1 Hess, Patrícia 1 Howland, James S. 1 Hughes, Thomas J. R. 1 Ikebe, Teruo 1 Kelly, Frank P. 1 Lai, Chi Yuen 1 Majda, Andrew J. 1 Marsden, Jerrold Eldon 1 McLeod, John Bryce 1 Mitrea, Marius 1 Nakata, Yoshimoto 1 Newman, Morris 1 Satake, Ichirô 1 Taussky-Todd, Olga 1 Taylor, Michael Eugene
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#### Serials

 9 Journal of the Mathematical Society of Japan 8 Proceedings of the Japan Academy 6 Archive for Rational Mechanics and Analysis 6 Communications on Pure and Applied Mathematics 6 Journal of Functional Analysis 4 Mathematische Annalen 4 Bulletin of the American Mathematical Society 4 Grundlehren der Mathematischen Wissenschaften 3 Communications in Mathematical Physics 3 Duke Mathematical Journal 3 Journal of the Faculty of Science. Section I A 3 Mathematische Zeitschrift 3 Transactions of the American Mathematical Society 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Progress of Theoretical Physics 2 Physical Review, II. Series 1 Journal of Research of the National Bureau of Standards 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Hadronic Journal 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Commentarii Mathematici Helvetici 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Numerical Analysis 1 Tohoku Mathematical Journal. Second Series 1 Journal of Operator Theory 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Sūgaku 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Mathematical Research Letters 1 Osaka Mathematical Journal 1 Journal of the Faculty of Science. Section I 1 Classics in Mathematics
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#### Fields

 59 Operator theory (47-XX) 49 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 11 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

146 Publications have been cited 15,560 times in 13,083 Documents Cited by Year
Perturbation theory for linear operators. Zbl 0148.12601
Kato, Tosio
1966
Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009
Kato, Tosio
1995
Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009
Kato, Tosio
1976
Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001
Kato, Tosio
1980
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
1988
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
1984
Strong $$L^ p$$-solutions of the Navier-Stokes equation in $$R^ m$$, with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
1984
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
1964
Nonlinear semigroups and evolution equations. Zbl 0163.38303
Kato, Tosio
1967
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
1975
Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014
Kato, Tosio
1984
Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203
Kato, T.
1966
Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003
Kato, Tosio
1958
Nonstationary flows of viscous and ideal fluids in $$R^3$$. Zbl 0229.76018
Kato, Tosio
1972
Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080
Jensen, Arne; Kato, Tosio
1979
Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025
Brézis, Haïm; Kato, Tosio
1979
Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011
Kato, Tosio
1970
On nonlinear Schrödinger equations. Zbl 0632.35038
Kato, Tosio
1987
Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502
Kato, Tosio
1959
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
1967
Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077
Kato, Tosio
1975
On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001
Kato, Tosio
1983
Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046
Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E.
1977
The functional-differential equation $$y'(x)=ay(\lambda x)+by(x)$$. Zbl 0236.34064
Kato, Tosio; McLeod, J. B.
1971
Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048
Kato, T.
1973
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
1962
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
1980
A short introduction to perturbation theory for linear operators. Zbl 0493.47008
Kato, Tosio
1982
Integration of the equation of evolution in a Banach space. Zbl 0052.12601
Kato, Tosio
1953
On the Korteweg-de Vries equation. Zbl 0415.35070
Kato, Tosio
1979
On nonlinear Schrödinger equations. II: $$H^ S$$-solutions and unconditional well-posedness. Zbl 0848.35124
Kato, Tosio
1995
Fractional powers of dissipative operators. Zbl 0113.10005
Kato, Tosio
1961
On the eigenfunctions of many-particle systems in quantum mechanics. Zbl 0077.20904
Kato, Tosio
1957
Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053
Kato, Tosio
1980
Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052
Kato, Tosio
1992
Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801
Ikebe, Teruo; Kato, Tosio
1962
Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005
Kato, Tosio; Yajima, Kenji
1989
Perturbation theory for linear operators. Translated from the English by G. A. Voropaeva, A. M. Stëpin und I. A. Shishmarëv. Edited by V. P. Maslov. Zbl 0247.47009
Kato, Tosio
1972
Nonlinear evolution equations and the Euler flow. Zbl 0545.76007
Kato, Tosio; Lai, Chi Yuen
1984
On the abstract evolution equation. Zbl 0106.09302
Kato, Tosio; Tanabe, Hiroki
1962
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
1986
Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701
Kato, Tosio
1951
The abstract theory of scattering. Zbl 0241.47005
Kato, Tosio; Kuroda, S. T.
1971
Scattering theory with two Hilbert spaces. Zbl 0171.12303
Kato, T.
1967
Perturbation of continuous spectra by trace class operators. Zbl 0090.33101
Kato, Tosio
1957
Abstract evolution equations of parabolic type in Banach and Hilbert spaces. Zbl 0114.06102
Kato, T.
1961
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
1970
Smooth operators and commutators. Zbl 0215.48802
Kato, Tosio
1968
Notes on some inequalities for linear operators. Zbl 0048.35301
Kato, Tosio
1952
Continuity of the map $$S \to |S|$$ for linear operators. Zbl 0301.47006
Kato, Tosio
1973
Fractional powers of dissipative operators. II. Zbl 0108.11203
Kato, Tosio
1962
A generalization of the Heinz inequality. Zbl 0104.09304
Kato, Tosio
1961
Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502
Kato, Tosio
1959
Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces $$L^ p_ s({\mathbb{R}}^ 2)$$. Zbl 0615.35078
Kato, Tosio; Ponce, Gustavo
1987
Note on fractional powers of linear operators. Zbl 0097.31802
Kato, Tosio
1960
On linear differential equations in Banach spaces. Zbl 0070.34602
Kato, Tosio
1956
The Navier-Stokes equation for an incompressible fluid in $$\mathbb{R}^ 2$$ with a measure as the initial vorticity. Zbl 0826.35094
Kato, Tosio
1994
Nonlinear Schrödinger equations. Zbl 0698.35131
Kato, Tosio
1989
Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001
Kato, Tosio
1960
An $$L^{q,r}$$-theory for nonlinear Schrödinger equations. Zbl 0832.35131
Kato, Tosio
1994
Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067
Jensen, Arne; Kato, Tosio
1978
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
1970
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
1978
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067
Kato, Tosio
1984
Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031
Kato, T.; Masuda, K.
1978
On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701
Kato, Tosio
1954
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
1979
On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402
Kato, Tosio
1957
On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021
Kato, Tosio
1971
Wave operators and unitary equivalence. Zbl 0125.34902
Kato, Tosio
1965
Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107
Kato, Tosio
1990
Nonlinear evolution equations in Banach spaces. Zbl 0173.17104
Kato, T.
1965
Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504
Kato, Tosio
1967
Variation of discrete spectra. Zbl 0632.47002
Kato, Tosio
1987
Some mapping theorems for the numerical range. Zbl 0143.36702
Kato, Tosio
1965
Perturbation theory of semi-bounded operators. Zbl 0050.34502
Kato, Tosio
1953
Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007
Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P.
1982
Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701
Kato, Tosio
1964
On subordinated holomorphic semigroups. Zbl 0743.47017
Carasso, Alfred S.; Kato, Tosio
1991
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
1982
A characterization of holomorphic semigroups. Zbl 0199.45604
Kato, Tosio
1970
Holomorphic families of Dirac operators. Zbl 0515.47006
Kato, Tosio
1983
Spectral order and a matrix limit theorem. Zbl 0424.47018
Kato, Tosio
1979
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
1978
On the Trotter-Lie product formula. Zbl 0336.47018
Kato, Tosio
1974
On some approximate methods concerning the operators $$T^*T$$. Zbl 0051.09203
Kato, Tosio
1953
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
Kato, Tosio
1982
Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065
Kato, Tosio
1993
Asymptotic behavior of solutions of the functional differential equation $$y'(x)=ay(\lambda x) + by(x)$$. Zbl 0278.34070
Kato, Tosio
1972
Variational methods in collision problems. Zbl 0039.42502
Kato, Tosio
1950
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
2000
Scattering with long range potentials. Zbl 0263.47008
Alsholm, P.; Kato, Tosio
1973
Perturbation of closed operators and their adjoints. Zbl 0263.47015
Hess, Peter; Kato, Tosio
1970
The Navier-Stokes equation with weak initial data. Zbl 0837.35116
Kato, Tosio; Ponce, Gustavo
1994
Boundedness of some pseudodifferential operators. Zbl 0342.47029
Kato, Tosio
1976
On the analyticity of solution of evolution equations. Zbl 0154.16403
Kato, Tosio; Tanabe, H.
1967
On nonstationary flows of viscous and ideal fluids in $$L^ p_ s({\mathbb{R}}^ 2)$$. Zbl 0649.76011
Kato, Tosio; Ponce, Gustavo
1987
Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027
Kato, Tosio
1981
Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052
Kato, T.
1977
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; Kato, Tosio
1972
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
2000
On the smoothness of trajectories in incompressible perfect fluids. Zbl 0972.35102
Kato, Tosio
2000
Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009
Kato, Tosio
1995
On nonlinear Schrödinger equations. II: $$H^ S$$-solutions and unconditional well-posedness. Zbl 0848.35124
Kato, Tosio
1995
The Navier-Stokes equation for an incompressible fluid in $$\mathbb{R}^ 2$$ with a measure as the initial vorticity. Zbl 0826.35094
Kato, Tosio
1994
An $$L^{q,r}$$-theory for nonlinear Schrödinger equations. Zbl 0832.35131
Kato, Tosio
1994
The Navier-Stokes equation with weak initial data. Zbl 0837.35116
Kato, Tosio; Ponce, Gustavo
1994
Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065
Kato, Tosio
1993
Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052
Kato, Tosio
1992
On subordinated holomorphic semigroups. Zbl 0743.47017
Carasso, Alfred S.; Kato, Tosio
1991
Dirac equations with moving nuclei. Zbl 0748.35033
Kato, T.; Yajima, K.
1991
Weak solutions of infinite-dimensional Hamiltonian systems. Zbl 0748.35016
Kato, T.
1991
Positive commutators $$i[f(P),g(Q)]$$. Zbl 0751.47020
Kato, Tosio
1991
Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107
Kato, Tosio
1990
Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005
Kato, Tosio; Yajima, Kenji
1989
Nonlinear Schrödinger equations. Zbl 0698.35131
Kato, Tosio
1989
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
1988
Abstract differential equations and nonlinear mixed problems. (Based on the Fermi Lectures held May 1985 at Scuola Normale Superiore, Pisa). Zbl 0648.35001
Kato, T.
1988
On nonlinear Schrödinger equations. Zbl 0632.35038
Kato, Tosio
1987
Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces $$L^ p_ s({\mathbb{R}}^ 2)$$. Zbl 0615.35078
Kato, Tosio; Ponce, Gustavo
1987
Variation of discrete spectra. Zbl 0632.47002
Kato, Tosio
1987
On nonstationary flows of viscous and ideal fluids in $$L^ p_ s({\mathbb{R}}^ 2)$$. Zbl 0649.76011
Kato, Tosio; Ponce, Gustavo
1987
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
1986
$$L^ p$$-theory of Schrödinger operators with a singular potential. Zbl 0627.47025
Kato, Tosio
1986
Remarks on the Euler and Navier-Stokes equations in $$R^ 2$$. Zbl 0598.35093
Kato, Tosio
1986
Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049
Kato, Tosio
1986
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
1984
Strong $$L^ p$$-solutions of the Navier-Stokes equation in $$R^ m$$, with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
1984
Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014
Kato, Tosio
1984
Nonlinear evolution equations and the Euler flow. Zbl 0545.76007
Kato, Tosio; Lai, Chi Yuen
1984
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067
Kato, Tosio
1984
Locally coercive nonlinear equations, with applications to some periodic solutions. Zbl 0571.47051
Kato, Tosio
1984
Nonselfadjoint Schrödinger operators with singular first-order coefficients. Zbl 0555.35025
Kato, Tosio
1984
Remarks on holomorphic families of Schrödinger and Dirac operators. Zbl 0565.47011
Kato, Tosio
1984
On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001
Kato, Tosio
1983
Holomorphic families of Dirac operators. Zbl 0515.47006
Kato, Tosio
1983
Quasi-linear equations of evolution in nonreflexive Banach spaces. Zbl 0532.35048
Kato, Tosio
1983
A short introduction to perturbation theory for linear operators. Zbl 0493.47008
Kato, Tosio
1982
Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007
Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P.
1982
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
1982
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
Kato, Tosio
1982
Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027
Kato, Tosio
1981
The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064
Kato, Tosio
1981
On a theorem of Ismagilov. Zbl 0487.47022
Howland, James S.; Kato, Tosio
1981
An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026
Kato, Tosio; Satake, Ichirô
1981
Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001
Kato, Tosio
1980
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
1980
Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053
Kato, Tosio
1980
Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080
Jensen, Arne; Kato, Tosio
1979
Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025
Brézis, Haïm; Kato, Tosio
1979
On the Korteweg-de Vries equation. Zbl 0415.35070
Kato, Tosio
1979
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
1979
Spectral order and a matrix limit theorem. Zbl 0424.47018
Kato, Tosio
1979
On the Cook-Kuroda criterion in scattering theory. Zbl 0434.47016
Kato, Tosio
1979
Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067
Jensen, Arne; Kato, Tosio
1978
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
1978
Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031
Kato, T.; Masuda, K.
1978
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
1978
Monotonicity theorems in scattering theory. Zbl 0426.47004
Kato, Tosio
1978
On some Schrödinger operators with a singular complex potential. Zbl 0376.47021
Kato, Tosio
1978
Trotter’s product formula for some nonlinear semigroups. Zbl 0471.47040
Kato, Tosio
1978
Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046
Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E.
1977
Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052
Kato, T.
1977
Two-space scattering theory, with applications to many-body problems. Zbl 0395.47007
Kato, Tosio
1977
Stationary theory of scattering. Zbl 0373.47006
Kato, T.
1977
Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009
Kato, Tosio
1976
Boundedness of some pseudodifferential operators. Zbl 0342.47029
Kato, Tosio
1976
Singular perturbation and semigroup theory. Zbl 0353.47018
Kato, Tosio
1976
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
1975
Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077
Kato, Tosio
1975
On a matrix limit theorem. Zbl 0332.47001
Kato, Tosio
1975
On a coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003
Kato, Tosio
1975
On the Trotter-Lie product formula. Zbl 0336.47018
Kato, Tosio
1974
A second look at the essential self-adjointness of the Schrödinger operators. Zbl 0328.47023
Kato, Tosio
1974
Wave operators and similarity for some non-selfadjoint operators. Zbl 0285.47013
Kato, Tosio
1974
Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048
Kato, T.
1973
Continuity of the map $$S \to |S|$$ for linear operators. Zbl 0301.47006
Kato, Tosio
1973
Scattering with long range potentials. Zbl 0263.47008
Alsholm, P.; Kato, Tosio
1973
A remark to the preceding paper by Chernoff. Zbl 0266.35019
Kato, Tosio
1973
Nonstationary flows of viscous and ideal fluids in $$R^3$$. Zbl 0229.76018
Kato, Tosio
1972
Perturbation theory for linear operators. Translated from the English by G. A. Voropaeva, A. M. Stëpin und I. A. Shishmarëv. Edited by V. P. Maslov. Zbl 0247.47009
Kato, Tosio
1972
Asymptotic behavior of solutions of the functional differential equation $$y'(x)=ay(\lambda x) + by(x)$$. Zbl 0278.34070
Kato, Tosio
1972
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; Kato, Tosio
1972
The functional-differential equation $$y'(x)=ay(\lambda x)+by(x)$$. Zbl 0236.34064
Kato, Tosio; McLeod, J. B.
1971
The abstract theory of scattering. Zbl 0241.47005
Kato, Tosio; Kuroda, S. T.
1971
On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021
Kato, Tosio
1971
Scattering theory and perturbation of continuous spectra. Zbl 0244.47003
Kato, Tosio
1971
Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011
Kato, Tosio
1970
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
1970
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
1970
A characterization of holomorphic semigroups. Zbl 0199.45604
Kato, Tosio
1970
Perturbation of closed operators and their adjoints. Zbl 0263.47015
Hess, Peter; Kato, Tosio
1970
Some results on potential scattering. Zbl 0207.45303
Kato, Tosio
1970
Note on the differentiability of nonlinear semigroups. Zbl 0218.47034
Kato, Tosio
1970
Approximation theorems for evolution equations. Zbl 0185.23001
Kato, Tosio
1969
Smooth operators and commutators. Zbl 0215.48802
Kato, Tosio
1968
Nonlinear semigroups and evolution equations. Zbl 0163.38303
Kato, Tosio
1967
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
1967
Scattering theory with two Hilbert spaces. Zbl 0171.12303
Kato, T.
1967
Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504
Kato, Tosio
1967
...and 46 more Documents
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#### Cited by 10,787 Authors

 59 Simon, Barry 52 Gesztesy, Fritz 46 Ozawa, Tohru 44 Fan, Jishan 42 Jeribi, Aref 41 Kato, Tosio 40 Nazarov, Sergeĭ Aleksandrovich 39 Zhou, Yong 38 Guo, Boling 38 Ponce, Gustavo 35 Chae, Dongho 35 Wang, Shu 32 Chidume, Charles Ejike 32 Lasiecka, Irena 32 Yin, Zhaoyang 31 Goldstein, Jerome Arthur 30 Triggiani, Roberto 29 Malamud, Mark M. 28 Albeverio, Sergio A. 28 Zhang, Zhifei 27 Liu, Qiao 26 Krejčiřík, David 26 Neidhardt, Hagen 26 Vega, Luis 26 Wu, Jiahong 26 Znojil, Miloslav 25 Davies, Edward Brian 25 Kozono, Hideo 25 Ye, Zhuan 24 Exner, Pavel 24 Lotoreichik, Vladimir 24 Ogawa, Takayoshi 24 Schechter, Martin 24 Zhao, Jihong 23 Faierman, Melvin 23 Ferreira, Lucas Catão de Freitas 23 Tretter, Christiane 23 Xu, Jiang 23 Zagrebnov, Valentin A. 23 Zhang, Ping 22 Behrndt, Jussi 22 Constantin, Peter 22 Dong, Boqing 22 Jensen, Arne 22 Kenig, Carlos Eduardo 22 Xin, Zhouping 22 Yamazaki, Kazuo 20 Curtain, Ruth Frances 20 Herbst, Ira W. 20 Linares, Felipe 20 López-Gómez, Julián 20 Mitrea, Marius 20 Webb, Glenn Francis 19 Bona, Jerry Lloyd 19 Evans, William Desmond 19 Feireisl, Eduard 19 Gala, Sadek 19 Hayashi, Nakao 19 Naboko, Serguei N. 19 Pu, Xueke 19 Rodman, Leiba X. 18 Bardos, Claude Williams 18 Da Prato, Giuseppe 18 Gallagher, Isabelle 18 Himonas, A. Alexandrou 18 Howland, James S. 18 Kukavica, Igor 18 Marsden, Jerrold Eldon 18 Nambu, Takao 18 Pelinovsky, Dmitry Efimovich 18 Robinson, Derek W. 18 Shkalikov, Andreĭ Andreevich 17 Beirão da Veiga, Hugo 17 Chemin, Jean-Yves 17 Cui, Shangbin 17 Giga, Yoshikazu 17 Greenlee, Wilfred M. 17 Joye, Alain 17 Milatovic, Ognjen 17 Nakamura, Gen 17 Peng, Yuejun 17 Sohr, Hermann 17 Sukochev, Fedor Anatol’evich 17 Weder, Ricardo A. 17 Zhang, Ting 17 Zhu, Mingxuan 16 Briet, Philippe 16 Chen, Zhimin 16 Dancer, Edward Norman 16 Danchin, Raphaël 16 Farwig, Reinhard 16 Favini, Angelo 16 Kartsatos, Athanassios G. 16 Lai, Shaoyong 16 Liu, Yue 16 Merle, Frank 16 Ramm, Alexander G. 16 Suslina, Tat’yana Aleksandrovna 16 ter Elst, Antonius Frederik Maria 16 Titi, Edriss Saleh ...and 10,687 more Authors
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#### Cited in 652 Serials

 839 Journal of Mathematical Analysis and Applications 682 Journal of Differential Equations 554 Journal of Functional Analysis 497 Communications in Mathematical Physics 331 Journal of Mathematical Physics 305 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 287 Archive for Rational Mechanics and Analysis 256 Linear Algebra and its Applications 237 Proceedings of the American Mathematical Society 224 Transactions of the American Mathematical Society 193 Integral Equations and Operator Theory 188 Communications in Partial Differential Equations 161 Nonlinear Analysis. Theory, Methods & Applications 160 Mathematische Annalen 159 Mathematische Zeitschrift 143 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 121 Mathematical Methods in the Applied Sciences 112 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 111 Advances in Mathematics 106 Journal of Mathematical Sciences (New York) 104 Mathematical Notes 101 Discrete and Continuous Dynamical Systems 92 Physica D 91 ZAMP. Zeitschrift für angewandte Mathematik und Physik 90 Annales Henri Poincaré 89 Journal of Statistical Physics 87 Applicable Analysis 86 Journal of Mathematical Fluid Mechanics 84 Applied Mathematics and Computation 84 Journal of Evolution Equations 83 Journal de Mathématiques Pures et Appliquées. Neuvième Série 80 Numerische Mathematik 76 Nonlinear Analysis. Real World Applications 75 Computers & Mathematics with Applications 75 Annali di Matematica Pura ed Applicata. Serie Quarta 74 Publications of the Research Institute for Mathematical Sciences, Kyoto University 74 SIAM Journal on Mathematical Analysis 73 Letters in Mathematical Physics 73 Mathematics of Computation 73 Annales de l’Institut Henri Poincaré. Physique Théorique 69 Duke Mathematical Journal 69 Applied Mathematics Letters 66 Mathematische Nachrichten 66 Siberian Mathematical Journal 65 Israel Journal of Mathematics 64 Journal of Computational and Applied Mathematics 62 Reports on Mathematical Physics 61 Journal d’Analyse Mathématique 61 Ukrainian Mathematical Journal 59 Functional Analysis and its Applications 55 Bulletin of the American Mathematical Society 54 Journal of Soviet Mathematics 52 Proceedings of the Japan Academy. Series A 51 Manuscripta Mathematica 50 Annals of Physics 49 Systems & Control Letters 48 Acta Applicandae Mathematicae 48 Acta Mathematica Sinica. English Series 48 Communications on Pure and Applied Analysis 47 Transport Theory and Statistical Physics 47 Journal of Dynamics and Differential Equations 47 Calculus of Variations and Partial Differential Equations 47 Abstract and Applied Analysis 45 Theoretical and Mathematical Physics 45 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 45 Complex Analysis and Operator Theory 44 Numerical Functional Analysis and Optimization 43 Linear and Multilinear Algebra 42 International Journal of Control 42 NoDEA. Nonlinear Differential Equations and Applications 41 Automatica 41 Differential Equations 41 Proceedings of the Japan Academy 40 Journal of Computational Physics 40 St. Petersburg Mathematical Journal 39 Reviews in Mathematical Physics 39 Applied Mathematics and Optimization 38 Discrete and Continuous Dynamical Systems. Series B 37 Journal of Optimization Theory and Applications 37 Comptes Rendus. Mathématique. Académie des Sciences, Paris 35 Rendiconti del Seminario Matematico della Università di Padova 34 Rocky Mountain Journal of Mathematics 34 Annales de l’Institut Fourier 34 Tohoku Mathematical Journal. Second Series 33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 33 Inventiones Mathematicae 33 Monatshefte für Mathematik 33 Science China. Mathematics 32 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 32 Journal of Nonlinear Science 30 Archiv der Mathematik 30 Semigroup Forum 30 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 29 Physics Letters. A 29 Journal of the American Mathematical Society 29 Boundary Value Problems 28 Journal of Approximation Theory 28 Quarterly of Applied Mathematics 28 Applied Numerical Mathematics 28 Communications in Contemporary Mathematics ...and 552 more Serials
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#### Cited in 62 Fields

 6,732 Partial differential equations (35-XX) 3,909 Operator theory (47-XX) 2,165 Fluid mechanics (76-XX) 1,385 Quantum theory (81-XX) 1,291 Ordinary differential equations (34-XX) 842 Numerical analysis (65-XX) 833 Functional analysis (46-XX) 596 Probability theory and stochastic processes (60-XX) 566 Global analysis, analysis on manifolds (58-XX) 548 Statistical mechanics, structure of matter (82-XX) 526 Dynamical systems and ergodic theory (37-XX) 479 Systems theory; control (93-XX) 429 Linear and multilinear algebra; matrix theory (15-XX) 334 Mechanics of deformable solids (74-XX) 321 Biology and other natural sciences (92-XX) 315 Harmonic analysis on Euclidean spaces (42-XX) 274 Calculus of variations and optimal control; optimization (49-XX) 258 Integral equations (45-XX) 220 Differential geometry (53-XX) 200 Optics, electromagnetic theory (78-XX) 132 Statistics (62-XX) 122 Real functions (26-XX) 112 Functions of a complex variable (30-XX) 105 Mechanics of particles and systems (70-XX) 103 Geophysics (86-XX) 102 Difference and functional equations (39-XX) 89 Approximations and expansions (41-XX) 88 Relativity and gravitational theory (83-XX) 81 Potential theory (31-XX) 65 Measure and integration (28-XX) 64 Operations research, mathematical programming (90-XX) 60 Topological groups, Lie groups (22-XX) 59 Several complex variables and analytic spaces (32-XX) 58 Combinatorics (05-XX) 55 Special functions (33-XX) 53 Classical thermodynamics, heat transfer (80-XX) 43 Abstract harmonic analysis (43-XX) 40 Number theory (11-XX) 38 Manifolds and cell complexes (57-XX) 37 Computer science (68-XX) 37 Astronomy and astrophysics (85-XX) 35 Integral transforms, operational calculus (44-XX) 35 Information and communication theory, circuits (94-XX) 28 Algebraic geometry (14-XX) 26 General topology (54-XX) 26 Algebraic topology (55-XX) 19 Associative rings and algebras (16-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Group theory and generalizations (20-XX) 14 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 10 General and overarching topics; collections (00-XX) 10 Nonassociative rings and algebras (17-XX) 10 Sequences, series, summability (40-XX) 9 $$K$$-theory (19-XX) 8 Geometry (51-XX) 7 Field theory and polynomials (12-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Convex and discrete geometry (52-XX) 5 Category theory; homological algebra (18-XX) 3 Commutative algebra (13-XX) 1 Mathematics education (97-XX)

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