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Kato, Tosio

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Author ID: kato.tosio Recent zbMATH articles by "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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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

Publications by Year

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
871
1980
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
697
1988
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
530
1984
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
526
1984
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
502
1964
Nonlinear semigroups and evolution equations. Zbl 0163.38303
Kato, Tosio
406
1967
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
305
1975
Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014
Kato, Tosio
261
1984
Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203
Kato, T.
252
1966
Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003
Kato, Tosio
243
1958
Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018
Kato, Tosio
240
1972
Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080
Jensen, Arne; Kato, Tosio
219
1979
Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025
Brézis, Haïm; Kato, Tosio
183
1979
Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011
Kato, Tosio
181
1970
On nonlinear Schrödinger equations. Zbl 0632.35038
Kato, Tosio
176
1987
Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502
Kato, Tosio
165
1959
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
160
1967
Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077
Kato, Tosio
155
1975
On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001
Kato, Tosio
152
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.
142
1977
The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064
Kato, Tosio; McLeod, J. B.
139
1971
Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048
Kato, T.
130
1973
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
129
1962
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
124
1980
A short introduction to perturbation theory for linear operators. Zbl 0493.47008
Kato, Tosio
120
1982
Integration of the equation of evolution in a Banach space. Zbl 0052.12601
Kato, Tosio
118
1953
On the Korteweg-de Vries equation. Zbl 0415.35070
Kato, Tosio
112
1979
On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124
Kato, Tosio
110
1995
Fractional powers of dissipative operators. Zbl 0113.10005
Kato, Tosio
104
1961
On the eigenfunctions of many-particle systems in quantum mechanics. Zbl 0077.20904
Kato, Tosio
87
1957
Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053
Kato, Tosio
84
1980
Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052
Kato, Tosio
83
1992
Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801
Ikebe, Teruo; Kato, Tosio
83
1962
Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005
Kato, Tosio; Yajima, Kenji
78
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
72
1972
Nonlinear evolution equations and the Euler flow. Zbl 0545.76007
Kato, Tosio; Lai, Chi Yuen
69
1984
On the abstract evolution equation. Zbl 0106.09302
Kato, Tosio; Tanabe, Hiroki
67
1962
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
66
1986
Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701
Kato, Tosio
62
1951
The abstract theory of scattering. Zbl 0241.47005
Kato, Tosio; Kuroda, S. T.
54
1971
Scattering theory with two Hilbert spaces. Zbl 0171.12303
Kato, T.
50
1967
Perturbation of continuous spectra by trace class operators. Zbl 0090.33101
Kato, Tosio
49
1957
Abstract evolution equations of parabolic type in Banach and Hilbert spaces. Zbl 0114.06102
Kato, T.
48
1961
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
47
1970
Smooth operators and commutators. Zbl 0215.48802
Kato, Tosio
46
1968
Notes on some inequalities for linear operators. Zbl 0048.35301
Kato, Tosio
46
1952
Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006
Kato, Tosio
41
1973
Fractional powers of dissipative operators. II. Zbl 0108.11203
Kato, Tosio
39
1962
A generalization of the Heinz inequality. Zbl 0104.09304
Kato, Tosio
37
1961
Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502
Kato, Tosio
37
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
36
1987
Note on fractional powers of linear operators. Zbl 0097.31802
Kato, Tosio
36
1960
On linear differential equations in Banach spaces. Zbl 0070.34602
Kato, Tosio
35
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
34
1994
Nonlinear Schrödinger equations. Zbl 0698.35131
Kato, Tosio
34
1989
Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001
Kato, Tosio
32
1960
An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131
Kato, Tosio
31
1994
Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067
Jensen, Arne; Kato, Tosio
31
1978
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
31
1970
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
30
1978
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067
Kato, Tosio
29
1984
Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031
Kato, T.; Masuda, K.
28
1978
On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701
Kato, Tosio
27
1954
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
26
1979
On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402
Kato, Tosio
26
1957
On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021
Kato, Tosio
25
1971
Wave operators and unitary equivalence. Zbl 0125.34902
Kato, Tosio
25
1965
Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107
Kato, Tosio
24
1990
Nonlinear evolution equations in Banach spaces. Zbl 0173.17104
Kato, T.
24
1965
Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504
Kato, Tosio
23
1967
Variation of discrete spectra. Zbl 0632.47002
Kato, Tosio
22
1987
Some mapping theorems for the numerical range. Zbl 0143.36702
Kato, Tosio
21
1965
Perturbation theory of semi-bounded operators. Zbl 0050.34502
Kato, Tosio
21
1953
Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007
Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P.
20
1982
Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701
Kato, Tosio
20
1964
On subordinated holomorphic semigroups. Zbl 0743.47017
Carasso, Alfred S.; Kato, Tosio
19
1991
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
19
1982
A characterization of holomorphic semigroups. Zbl 0199.45604
Kato, Tosio
19
1970
Holomorphic families of Dirac operators. Zbl 0515.47006
Kato, Tosio
18
1983
Spectral order and a matrix limit theorem. Zbl 0424.47018
Kato, Tosio
18
1979
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
18
1978
On the Trotter-Lie product formula. Zbl 0336.47018
Kato, Tosio
18
1974
On some approximate methods concerning the operators \(T^*T\). Zbl 0051.09203
Kato, Tosio
18
1953
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
Kato, Tosio
17
1982
Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065
Kato, Tosio
16
1993
Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070
Kato, Tosio
16
1972
Variational methods in collision problems. Zbl 0039.42502
Kato, Tosio
16
1950
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
15
2000
Scattering with long range potentials. Zbl 0263.47008
Alsholm, P.; Kato, Tosio
15
1973
Perturbation of closed operators and their adjoints. Zbl 0263.47015
Hess, Peter; Kato, Tosio
15
1970
The Navier-Stokes equation with weak initial data. Zbl 0837.35116
Kato, Tosio; Ponce, Gustavo
14
1994
Boundedness of some pseudodifferential operators. Zbl 0342.47029
Kato, Tosio
14
1976
On the analyticity of solution of evolution equations. Zbl 0154.16403
Kato, Tosio; Tanabe, H.
14
1967
On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011
Kato, Tosio; Ponce, Gustavo
13
1987
Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027
Kato, Tosio
13
1981
Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052
Kato, T.
13
1977
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; Kato, Tosio
13
1972
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
15
2000
On the smoothness of trajectories in incompressible perfect fluids. Zbl 0972.35102
Kato, Tosio
6
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
110
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
34
1994
An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131
Kato, Tosio
31
1994
The Navier-Stokes equation with weak initial data. Zbl 0837.35116
Kato, Tosio; Ponce, Gustavo
14
1994
Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065
Kato, Tosio
16
1993
Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052
Kato, Tosio
83
1992
On subordinated holomorphic semigroups. Zbl 0743.47017
Carasso, Alfred S.; Kato, Tosio
19
1991
Dirac equations with moving nuclei. Zbl 0748.35033
Kato, T.; Yajima, K.
2
1991
Weak solutions of infinite-dimensional Hamiltonian systems. Zbl 0748.35016
Kato, T.
1
1991
Positive commutators \(i[f(P),g(Q)]\). Zbl 0751.47020
Kato, Tosio
1
1991
Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107
Kato, Tosio
24
1990
Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005
Kato, Tosio; Yajima, Kenji
78
1989
Nonlinear Schrödinger equations. Zbl 0698.35131
Kato, Tosio
34
1989
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
697
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.
11
1988
On nonlinear Schrödinger equations. Zbl 0632.35038
Kato, Tosio
176
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
36
1987
Variation of discrete spectra. Zbl 0632.47002
Kato, Tosio
22
1987
On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011
Kato, Tosio; Ponce, Gustavo
13
1987
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
66
1986
\(L^ p\)-theory of Schrödinger operators with a singular potential. Zbl 0627.47025
Kato, Tosio
10
1986
Remarks on the Euler and Navier-Stokes equations in \(R^ 2\). Zbl 0598.35093
Kato, Tosio
8
1986
Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049
Kato, Tosio
5
1986
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
530
1984
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
526
1984
Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014
Kato, Tosio
261
1984
Nonlinear evolution equations and the Euler flow. Zbl 0545.76007
Kato, Tosio; Lai, Chi Yuen
69
1984
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067
Kato, Tosio
29
1984
Locally coercive nonlinear equations, with applications to some periodic solutions. Zbl 0571.47051
Kato, Tosio
10
1984
Nonselfadjoint Schrödinger operators with singular first-order coefficients. Zbl 0555.35025
Kato, Tosio
5
1984
Remarks on holomorphic families of Schrödinger and Dirac operators. Zbl 0565.47011
Kato, Tosio
3
1984
On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001
Kato, Tosio
152
1983
Holomorphic families of Dirac operators. Zbl 0515.47006
Kato, Tosio
18
1983
Quasi-linear equations of evolution in nonreflexive Banach spaces. Zbl 0532.35048
Kato, Tosio
4
1983
A short introduction to perturbation theory for linear operators. Zbl 0493.47008
Kato, Tosio
120
1982
Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007
Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P.
20
1982
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
19
1982
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
Kato, Tosio
17
1982
Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027
Kato, Tosio
13
1981
The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064
Kato, Tosio
4
1981
On a theorem of Ismagilov. Zbl 0487.47022
Howland, James S.; Kato, Tosio
3
1981
An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026
Kato, Tosio; Satake, Ichirô
3
1981
Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001
Kato, Tosio
871
1980
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
124
1980
Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053
Kato, Tosio
84
1980
Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080
Jensen, Arne; Kato, Tosio
219
1979
Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025
Brézis, Haïm; Kato, Tosio
183
1979
On the Korteweg-de Vries equation. Zbl 0415.35070
Kato, Tosio
112
1979
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
26
1979
Spectral order and a matrix limit theorem. Zbl 0424.47018
Kato, Tosio
18
1979
On the Cook-Kuroda criterion in scattering theory. Zbl 0434.47016
Kato, Tosio
9
1979
Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067
Jensen, Arne; Kato, Tosio
31
1978
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
30
1978
Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031
Kato, T.; Masuda, K.
28
1978
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
18
1978
Monotonicity theorems in scattering theory. Zbl 0426.47004
Kato, Tosio
12
1978
On some Schrödinger operators with a singular complex potential. Zbl 0376.47021
Kato, Tosio
12
1978
Trotter’s product formula for some nonlinear semigroups. Zbl 0471.47040
Kato, Tosio
1
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.
142
1977
Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052
Kato, T.
13
1977
Two-space scattering theory, with applications to many-body problems. Zbl 0395.47007
Kato, Tosio
7
1977
Stationary theory of scattering. Zbl 0373.47006
Kato, T.
4
1977
Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009
Kato, Tosio
1976
Boundedness of some pseudodifferential operators. Zbl 0342.47029
Kato, Tosio
14
1976
Singular perturbation and semigroup theory. Zbl 0353.47018
Kato, Tosio
4
1976
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
305
1975
Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077
Kato, Tosio
155
1975
On a matrix limit theorem. Zbl 0332.47001
Kato, Tosio
3
1975
On a coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003
Kato, Tosio
3
1975
On the Trotter-Lie product formula. Zbl 0336.47018
Kato, Tosio
18
1974
A second look at the essential self-adjointness of the Schrödinger operators. Zbl 0328.47023
Kato, Tosio
11
1974
Wave operators and similarity for some non-selfadjoint operators. Zbl 0285.47013
Kato, Tosio
2
1974
Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048
Kato, T.
130
1973
Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006
Kato, Tosio
41
1973
Scattering with long range potentials. Zbl 0263.47008
Alsholm, P.; Kato, Tosio
15
1973
A remark to the preceding paper by Chernoff. Zbl 0266.35019
Kato, Tosio
9
1973
Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018
Kato, Tosio
240
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
72
1972
Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070
Kato, Tosio
16
1972
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; Kato, Tosio
13
1972
The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064
Kato, Tosio; McLeod, J. B.
139
1971
The abstract theory of scattering. Zbl 0241.47005
Kato, Tosio; Kuroda, S. T.
54
1971
On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021
Kato, Tosio
25
1971
Scattering theory and perturbation of continuous spectra. Zbl 0244.47003
Kato, Tosio
3
1971
Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011
Kato, Tosio
181
1970
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
47
1970
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
31
1970
A characterization of holomorphic semigroups. Zbl 0199.45604
Kato, Tosio
19
1970
Perturbation of closed operators and their adjoints. Zbl 0263.47015
Hess, Peter; Kato, Tosio
15
1970
Some results on potential scattering. Zbl 0207.45303
Kato, Tosio
10
1970
Note on the differentiability of nonlinear semigroups. Zbl 0218.47034
Kato, Tosio
5
1970
Approximation theorems for evolution equations. Zbl 0185.23001
Kato, Tosio
1
1969
Smooth operators and commutators. Zbl 0215.48802
Kato, Tosio
46
1968
Nonlinear semigroups and evolution equations. Zbl 0163.38303
Kato, Tosio
406
1967
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
160
1967
Scattering theory with two Hilbert spaces. Zbl 0171.12303
Kato, T.
50
1967
Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504
Kato, Tosio
23
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
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42 International Journal of Control
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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)
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35 Integral transforms, operational calculus (44-XX)
35 Information and communication theory, circuits (94-XX)
28 Algebraic geometry (14-XX)
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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)
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10 Sequences, series, summability (40-XX)
9 \(K\)-theory (19-XX)
8 Geometry (51-XX)
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5 Category theory; homological algebra (18-XX)
3 Commutative algebra (13-XX)
1 Mathematics education (97-XX)

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