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Author ID: kato.tosio Recent zbMATH articles by "Kato, Tosio"
Published as: Kato, Tosio; Kato, T.; Katô, Tosio
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 149 Publications since 1950, including 10 Books
Biographic References: 5 Publications
Co-Authors: 31 Co-Authors with 33 Joint Publications
1,372 Co-Co-Authors
all top 5

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 Open

146 Publications have been cited 15,525 times in 13,096 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
838
1976
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
829
1988
Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001
Kato, Tosio
623
1980
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
583
1984
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
583
1984
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
556
1964
Nonlinear semigroups and evolution equations. Zbl 0163.38303
Kato, Tosio
419
1967
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
351
1975
Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203
Kato, T.
268
1966
Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018
Kato, Tosio
262
1972
Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003
Kato, Tosio
260
1958
Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080
Jensen, Arne; Kato, Tosio
242
1979
Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025
Brézis, Haïm; Kato, Tosio
204
1979
On nonlinear Schrödinger equations. Zbl 0632.35038
Kato, Tosio
194
1987
Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011
Kato, Tosio
186
1970
Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502
Kato, Tosio
180
1959
Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014
Kato, Tosio
179
1984
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
160
1967
The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064
Kato, Tosio; McLeod, J. B.
146
1971
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.
146
1977
Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048
Kato, T.
138
1973
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
135
1980
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
134
1962
A short introduction to perturbation theory for linear operators. Zbl 0493.47008
Kato, Tosio
124
1982
On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124
Kato, Tosio
124
1995
On the Korteweg-de Vries equation. Zbl 0415.35070
Kato, Tosio
119
1979
Integration of the equation of evolution in a Banach space. Zbl 0052.12601
Kato, Tosio
118
1953
Fractional powers of dissipative operators. Zbl 0113.10005
Kato, Tosio
115
1961
On the eigenfunctions of many-particle systems in quantum mechanics. Zbl 0077.20904
Kato, Tosio
95
1957
Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052
Kato, Tosio
94
1992
Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053
Kato, Tosio
90
1980
Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005
Kato, Tosio; Yajima, Kenji
87
1989
Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801
Ikebe, Teruo; Kato, Tosio
85
1962
Nonlinear evolution equations and the Euler flow. Zbl 0545.76007
Kato, Tosio; Lai, Chi Yuen
77
1984
On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001
Kato, Tosio
77
1983
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
76
1986
Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077
Kato, Tosio
73
1975
On the abstract evolution equation. Zbl 0106.09302
Kato, Tosio; Tanabe, Hiroki
66
1962
Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701
Kato, Tosio
65
1951
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. (Теория возмущений линейных операторов.) Zbl 0247.47009
Kato, Tosio
62
1972
The abstract theory of scattering. Zbl 0241.47005
Kato, Tosio; Kuroda, S. T.
57
1971
Notes on some inequalities for linear operators. Zbl 0048.35301
Kato, Tosio
56
1952
Scattering theory with two Hilbert spaces. Zbl 0171.12303
Kato, T.
54
1967
Perturbation of continuous spectra by trace class operators. Zbl 0090.33101
Kato, Tosio
50
1957
Abstract evolution equations of parabolic type in Banach and Hilbert spaces. Zbl 0114.06102
Kato, T.
48
1961
Smooth operators and commutators. Zbl 0215.48802
Kato, Tosio
47
1968
Note on fractional powers of linear operators. Zbl 0097.31802
Kato, Tosio
43
1960
Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006
Kato, Tosio
43
1973
Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502
Kato, Tosio
42
1959
Fractional powers of dissipative operators. II. Zbl 0108.11203
Kato, Tosio
41
1962
A generalization of the Heinz inequality. Zbl 0104.09304
Kato, Tosio
40
1961
The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094
Kato, Tosio
37
1994
Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001
Kato, Tosio
36
1960
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
32
1970
On linear differential equations in Banach spaces. Zbl 0070.34602
Kato, Tosio
32
1956
Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067
Jensen, Arne; Kato, Tosio
32
1978
Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031
Kato, T.; Masuda, K.
31
1978
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
30
1987
On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701
Kato, Tosio
28
1954
On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402
Kato, Tosio
28
1957
An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131
Kato, Tosio
28
1994
On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021
Kato, Tosio
27
1971
Wave operators and unitary equivalence. Zbl 0125.34902
Kato, Tosio
26
1965
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
26
1979
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
25
1978
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
Kato, Tosio
24
1982
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
24
1970
Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504
Kato, Tosio
23
1967
Perturbation theory of semi-bounded operators. Zbl 0050.34502
Kato, Tosio
23
1953
Variation of discrete spectra. Zbl 0632.47002
Kato, Tosio
23
1987
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067
Kato, Tosio
23
1984
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
22
2000
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
22
1978
Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701
Kato, Tosio
21
1964
Some mapping theorems for the numerical range. Zbl 0143.36702
Kato, Tosio
21
1965
Holomorphic families of Dirac operators. Zbl 0515.47006
Kato, Tosio
20
1983
Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007
Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P.
20
1982
On the Trotter-Lie product formula. Zbl 0336.47018
Kato, Tosio
20
1974
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
19
1982
On subordinated holomorphic semigroups. Zbl 0743.47017
Carasso, Alfred S.; Kato, Tosio
19
1991
A characterization of holomorphic semigroups. Zbl 0199.45604
Kato, Tosio
19
1970
On some approximate methods concerning the operators \(T^*T\). Zbl 0051.09203
Kato, Tosio
19
1953
Nonlinear Schrödinger equations. Zbl 0698.35131
Kato, Tosio
18
1989
Spectral order and a matrix limit theorem. Zbl 0424.47018
Kato, Tosio
18
1979
Variational methods in collision problems. Zbl 0039.42502
Kato, Tosio
17
1950
Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065
Kato, Tosio
17
1993
Boundedness of some pseudodifferential operators. Zbl 0342.47029
Kato, Tosio
17
1976
Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107
Kato, Tosio
16
1990
Perturbation of closed operators and their adjoints. Zbl 0263.47015
Hess, Peter; Kato, Tosio
16
1970
Nonlinear evolution equations in Banach spaces. Zbl 0173.17104
Kato, T.
15
1965
On some Schrödinger operators with a singular complex potential. Zbl 0376.47021
Kato, Tosio
14
1978
On the analyticity of solution of evolution equations. Zbl 0154.16403
Kato, Tosio; Tanabe, H.
14
1967
Scattering with long range potentials. Zbl 0263.47008
Alsholm, P.; Kato, Tosio
14
1973
On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011
Kato, Tosio; Ponce, Gustavo
13
1987
Monotonicity theorems in scattering theory. Zbl 0426.47004
Kato, Tosio
13
1978
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; Kato, Tosio
13
1972
On the convergence of the perturbation method. Zbl 0045.21602
Kato, Tosio
11
1951
On the perturbation theory of closed linear operators. Zbl 0048.35402
Katô, Tosio
11
1952
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
22
2000
On the smoothness of trajectories in incompressible perfect fluids. Zbl 0972.35102
Kato, Tosio
7
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
124
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
37
1994
An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131
Kato, Tosio
28
1994
The Navier-Stokes equation with weak initial data. Zbl 0837.35116
Kato, Tosio; Ponce, Gustavo
11
1994
Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065
Kato, Tosio
17
1993
Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052
Kato, Tosio
94
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
Positive commutators \(i[f(P),g(Q)]\). Zbl 0751.47020
Kato, Tosio
1
1991
Weak solutions of infinite-dimensional Hamiltonian systems. Zbl 0748.35016
Kato, T.
1
1991
Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107
Kato, Tosio
16
1990
Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005
Kato, Tosio; Yajima, Kenji
87
1989
Nonlinear Schrödinger equations. Zbl 0698.35131
Kato, Tosio
18
1989
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
829
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
194
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
30
1987
Variation of discrete spectra. Zbl 0632.47002
Kato, Tosio
23
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
76
1986
Remarks on the Euler and Navier-Stokes equations in \(R^ 2\). Zbl 0598.35093
Kato, Tosio
6
1986
\(L^ p\)-theory of Schrödinger operators with a singular potential. Zbl 0627.47025
Kato, Tosio
4
1986
Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049
Kato, Tosio
2
1986
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
583
1984
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
583
1984
Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014
Kato, Tosio
179
1984
Nonlinear evolution equations and the Euler flow. Zbl 0545.76007
Kato, Tosio; Lai, Chi Yuen
77
1984
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067
Kato, Tosio
23
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
6
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
77
1983
Holomorphic families of Dirac operators. Zbl 0515.47006
Kato, Tosio
20
1983
Quasi-linear equations of evolution in nonreflexive Banach spaces. Zbl 0532.35048
Kato, Tosio
3
1983
A short introduction to perturbation theory for linear operators. Zbl 0493.47008
Kato, Tosio
124
1982
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
Kato, Tosio
24
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
Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027
Kato, Tosio
11
1981
An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026
Kato, Tosio; Satake, Ichirô
4
1981
On a theorem of Ismagilov. Zbl 0487.47022
Howland, James S.; Kato, Tosio
3
1981
The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064
Kato, Tosio
1
1981
Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001
Kato, Tosio
623
1980
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
135
1980
Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053
Kato, Tosio
90
1980
Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080
Jensen, Arne; Kato, Tosio
242
1979
Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025
Brézis, Haïm; Kato, Tosio
204
1979
On the Korteweg-de Vries equation. Zbl 0415.35070
Kato, Tosio
119
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
6
1979
Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067
Jensen, Arne; Kato, Tosio
32
1978
Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031
Kato, T.; Masuda, K.
31
1978
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
25
1978
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
22
1978
On some Schrödinger operators with a singular complex potential. Zbl 0376.47021
Kato, Tosio
14
1978
Monotonicity theorems in scattering theory. Zbl 0426.47004
Kato, Tosio
13
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.
146
1977
Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052
Kato, T.
10
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.
1
1977
Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009
Kato, Tosio
838
1976
Boundedness of some pseudodifferential operators. Zbl 0342.47029
Kato, Tosio
17
1976
Singular perturbation and semigroup theory. Zbl 0353.47018
Kato, Tosio
3
1976
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
351
1975
Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077
Kato, Tosio
73
1975
On a coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003
Kato, Tosio
3
1975
On a matrix limit theorem. Zbl 0332.47001
Kato, Tosio
3
1975
On the Trotter-Lie product formula. Zbl 0336.47018
Kato, Tosio
20
1974
A second look at the essential self-adjointness of the Schrödinger operators. Zbl 0328.47023
Kato, Tosio
9
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.
138
1973
Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006
Kato, Tosio
43
1973
Scattering with long range potentials. Zbl 0263.47008
Alsholm, P.; Kato, Tosio
14
1973
A remark to the preceding paper by Chernoff. Zbl 0266.35019
Kato, Tosio
10
1973
Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018
Kato, Tosio
262
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. (Теория возмущений линейных операторов.) Zbl 0247.47009
Kato, Tosio
62
1972
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; Kato, Tosio
13
1972
Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070
Kato, Tosio
11
1972
The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064
Kato, Tosio; McLeod, J. B.
146
1971
The abstract theory of scattering. Zbl 0241.47005
Kato, Tosio; Kuroda, S. T.
57
1971
On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021
Kato, Tosio
27
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
186
1970
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
32
1970
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
24
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
16
1970
Some results on potential scattering. Zbl 0207.45303
Kato, Tosio
5
1970
Note on the differentiability of nonlinear semigroups. Zbl 0218.47034
Kato, Tosio
4
1970
Approximation theorems for evolution equations. Zbl 0185.23001
Kato, Tosio
1
1969
Smooth operators and commutators. Zbl 0215.48802
Kato, Tosio
47
1968
Nonlinear semigroups and evolution equations. Zbl 0163.38303
Kato, Tosio
419
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.
54
1967
Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504
Kato, Tosio
23
1967
...and 46 more Documents
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Cited by 10,492 Authors

56 Simon, Barry
53 Fan, Jishan
48 Gesztesy, Fritz
47 Ozawa, Tohru
43 Jeribi, Aref
42 Zhou, Yong
40 Kato, Tosio
39 Nazarov, Sergeĭ Aleksandrovich
38 Wang, Shu
37 Guo, Boling
36 Chae, Dongho
33 Ponce, Gustavo
32 Chidume, Charles Ejike
30 Krejčiřík, David
29 Yin, Zhaoyang
29 Znojil, Miloslav
28 Lotoreichik, Vladimir
28 Ogawa, Takayoshi
28 Wu, Jiahong
28 Zhang, Zhifei
27 Goldstein, Jerome Arthur
27 Lasiecka, Irena
27 Liu, Qiao
27 Malamud, Mark M.
26 Kozono, Hideo
25 Dong, Boqing
25 Exner, Pavel
25 Faierman, Melvin
24 Davies, Edward Brian
24 Ferreira, Lucas Catão de Freitas
24 Vega, Luis
24 Zhang, Ping
24 Zhao, Jihong
23 Albeverio, Sergio A.
23 Constantin, Peter
23 Gala, Sadek
23 Jensen, Arne
23 López-Gómez, Julián
23 Neidhardt, Hagen
23 Schechter, Martin
23 Triggiani, Roberto
23 Xin, Zhouping
23 Xu, Jiang
23 Yamazaki, Kazuo
23 Zagrebnov, Valentin A.
22 Tretter, Christiane
22 Yuan, Baoquan
21 Kopylova, Elena A.
21 Peng, Yuejun
21 Suslina, Tat’yana Aleksandrovna
20 Behrndt, Jussi
20 Herbst, Ira W.
20 Himonas, A. Alexandrou
20 Kenig, Carlos Eduardo
20 Robinson, Derek W.
19 Evans, William Desmond
19 Feireisl, Eduard
19 Giga, Yoshikazu
19 Hayashi, Nakao
19 Kukavica, Igor
19 Nakamura, Gen
19 Pu, Xueke
19 Webb, Glenn Francis
18 Bardos, Claude Williams
18 Farwig, Reinhard
18 Gallagher, Isabelle
18 Howland, James S.
18 Mitrea, Marius
18 Naboko, Serguei N.
18 Nambu, Takao
18 Pelinovsky, Dmitry Efimovich
18 Shkalikov, Andreĭ Andreevich
18 Sukochev, Fedor Anatol’evich
18 Ye, Zhuan
18 Zhang, Ting
17 Beirão da Veiga, Hugo
17 Chemin, Jean-Yves
17 Cui, Shangbin
17 Da Prato, Giuseppe
17 Danchin, Raphaël
17 Favini, Angelo
17 Greenlee, Wilfred M.
17 Li, Fucai
17 Sohr, Hermann
17 Yajima, Kenji
17 Zhu, Mingxuan
16 Chen, Zhimin
16 Cholewa, Jan W.
16 Cornean, Horia D.
16 Dancer, Edward Norman
16 González Ortiz, Manuel
16 Jørgensen, Palle E. T.
16 Joye, Alain
16 Kartsatos, Athanassios G.
16 Kawashima, Shuichi
16 Lai, Shaoyong
16 Linares, Felipe
16 Liu, Yue
16 Marsden, Jerrold Eldon
16 Merle, Frank
...and 10,392 more Authors
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Cited in 702 Serials

716 Journal of Mathematical Analysis and Applications
605 Journal of Differential Equations
523 Communications in Mathematical Physics
454 Journal of Functional Analysis
333 Journal of Mathematical Physics
302 Archive for Rational Mechanics and Analysis
264 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
239 Proceedings of the American Mathematical Society
229 Transactions of the American Mathematical Society
198 Integral Equations and Operator Theory
194 Communications in Partial Differential Equations
175 Linear Algebra and its Applications
162 Mathematische Annalen
162 Mathematische Zeitschrift
146 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
130 Nonlinear Analysis. Theory, Methods & Applications
121 Mathematical Methods in the Applied Sciences
118 Journal of Evolution Equations
110 ZAMP. Zeitschrift für angewandte Mathematik und Physik
110 Journal of Mathematical Sciences (New York)
107 Discrete and Continuous Dynamical Systems
105 Mathematical Notes
100 Applicable Analysis
100 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
99 Advances in Mathematics
97 Journal of Mathematical Fluid Mechanics
96 Journal of Statistical Physics
89 SIAM Journal on Mathematical Analysis
88 Annales Henri Poincaré
85 Numerische Mathematik
79 Letters in Mathematical Physics
77 Physica D
76 Nonlinear Analysis. Real World Applications
75 Mathematics of Computation
74 Annali di Matematica Pura ed Applicata. Serie Quarta
74 Publications of the Research Institute for Mathematical Sciences, Kyoto University
73 Annales de l’Institut Henri Poincaré. Physique Théorique
72 Journal de Mathématiques Pures et Appliquées. Neuvième Série
70 Duke Mathematical Journal
66 Computers & Mathematics with Applications
66 Israel Journal of Mathematics
66 Mathematische Nachrichten
66 Siberian Mathematical Journal
65 Applied Mathematics and Computation
65 Applied Mathematics Letters
64 Journal d’Analyse Mathématique
62 Ukrainian Mathematical Journal
62 Communications on Pure and Applied Analysis
60 Functional Analysis and its Applications
60 Journal of Dynamics and Differential Equations
56 Acta Applicandae Mathematicae
55 Bulletin of the American Mathematical Society
55 Complex Analysis and Operator Theory
54 Journal of Soviet Mathematics
54 Calculus of Variations and Partial Differential Equations
52 Proceedings of the Japan Academy. Series A
52 Acta Mathematica Sinica. English Series
51 Manuscripta Mathematica
50 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
47 Linear and Multilinear Algebra
47 Transport Theory and Statistical Physics
47 St. Petersburg Mathematical Journal
47 Abstract and Applied Analysis
47 Differential Equations
46 Reports on Mathematical Physics
46 Reviews in Mathematical Physics
45 Theoretical and Mathematical Physics
45 Numerical Functional Analysis and Optimization
45 NoDEA. Nonlinear Differential Equations and Applications
44 International Journal of Control
44 Applied Mathematics and Optimization
44 Discrete and Continuous Dynamical Systems. Series B
43 Journal of Nonlinear Science
42 Journal of Computational and Applied Mathematics
41 Proceedings of the Japan Academy
38 Rocky Mountain Journal of Mathematics
37 Annales de l’Institut Fourier
37 Journal of Optimization Theory and Applications
36 Nonlinearity
36 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
35 Monatshefte für Mathematik
35 Rendiconti del Seminario Matematico della Università di Padova
35 Systems & Control Letters
35 Science China. Mathematics
34 Inventiones Mathematicae
34 Tohoku Mathematical Journal. Second Series
34 The Journal of Geometric Analysis
33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
33 Archiv der Mathematik
33 Boundary Value Problems
32 Journal of Mathematical Biology
32 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
31 Semigroup Forum
30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
30 Discrete and Continuous Dynamical Systems. Series S
29 Journal of Computational Physics
29 Journal of the American Mathematical Society
29 Communications in Contemporary Mathematics
29 Journal of Spectral Theory
...and 602 more Serials
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Cited in 62 Fields

7,004 Partial differential equations (35-XX)
3,828 Operator theory (47-XX)
2,344 Fluid mechanics (76-XX)
1,403 Quantum theory (81-XX)
1,209 Ordinary differential equations (34-XX)
833 Numerical analysis (65-XX)
815 Functional analysis (46-XX)
599 Probability theory and stochastic processes (60-XX)
550 Global analysis, analysis on manifolds (58-XX)
547 Statistical mechanics, structure of matter (82-XX)
516 Dynamical systems and ergodic theory (37-XX)
427 Systems theory; control (93-XX)
395 Linear and multilinear algebra; matrix theory (15-XX)
350 Harmonic analysis on Euclidean spaces (42-XX)
328 Mechanics of deformable solids (74-XX)
324 Biology and other natural sciences (92-XX)
267 Integral equations (45-XX)
266 Calculus of variations and optimal control; optimization (49-XX)
217 Differential geometry (53-XX)
217 Optics, electromagnetic theory (78-XX)
140 Real functions (26-XX)
118 Statistics (62-XX)
115 Functions of a complex variable (30-XX)
110 Geophysics (86-XX)
105 Difference and functional equations (39-XX)
101 Mechanics of particles and systems (70-XX)
98 Relativity and gravitational theory (83-XX)
86 Approximations and expansions (41-XX)
73 Potential theory (31-XX)
68 Measure and integration (28-XX)
68 Operations research, mathematical programming (90-XX)
64 Combinatorics (05-XX)
64 Several complex variables and analytic spaces (32-XX)
61 Topological groups, Lie groups (22-XX)
61 Classical thermodynamics, heat transfer (80-XX)
56 Special functions (33-XX)
42 Number theory (11-XX)
42 Abstract harmonic analysis (43-XX)
42 Computer science (68-XX)
39 Astronomy and astrophysics (85-XX)
35 Manifolds and cell complexes (57-XX)
34 Integral transforms, operational calculus (44-XX)
33 Information and communication theory, circuits (94-XX)
27 Algebraic geometry (14-XX)
26 Algebraic topology (55-XX)
25 General topology (54-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
19 Associative rings and algebras (16-XX)
17 Group theory and generalizations (20-XX)
16 History and biography (01-XX)
13 Mathematical logic and foundations (03-XX)
13 \(K\)-theory (19-XX)
12 General and overarching topics; collections (00-XX)
12 Nonassociative rings and algebras (17-XX)
9 Sequences, series, summability (40-XX)
8 Convex and discrete geometry (52-XX)
7 Geometry (51-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Field theory and polynomials (12-XX)
4 Category theory; homological algebra (18-XX)
2 Commutative algebra (13-XX)
1 Mathematics education (97-XX)

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