## Kato, Tosio

Compute Distance To:
 Author ID: 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
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### Co-Authors

 114 single-authored 5 Ponce, Gustavo 3 Fujita, Hiroshi 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, Patrick Michael 1 Friedland, Shmuel 1 Hersh, Reuben 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 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
1976
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
1988
Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001
Kato, Tosio
1980
Strong $$L^ p$$-solutions of the Navier-Stokes equation in $$R^ m$$, with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
1984
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
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
Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203
Kato, T.
1966
Nonstationary flows of viscous and ideal fluids in $$R^3$$. Zbl 0229.76018
Kato, Tosio
1972
Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003
Kato, Tosio
1958
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 nonlinear Schrödinger equations. Zbl 0632.35038
Kato, Tosio
1987
Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011
Kato, Tosio
1970
Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502
Kato, Tosio
1959
Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014
Kato, Tosio
1984
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
1967
The functional-differential equation $$y'(x)=ay(\lambda x)+by(x)$$. Zbl 0236.34064
Kato, Tosio; McLeod, J. B.
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.
1977
Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048
Kato, T.
1973
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
1980
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
1962
A short introduction to perturbation theory for linear operators. Zbl 0493.47008
Kato, Tosio
1982
On nonlinear Schrödinger equations. II: $$H^ S$$-solutions and unconditional well-posedness. Zbl 0848.35124
Kato, Tosio
1995
On the Korteweg-de Vries equation. Zbl 0415.35070
Kato, Tosio
1979
Integration of the equation of evolution in a Banach space. Zbl 0052.12601
Kato, Tosio
1953
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
Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052
Kato, Tosio
1992
Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053
Kato, Tosio
1980
Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005
Kato, Tosio; Yajima, Kenji
1989
Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801
Ikebe, Teruo; Kato, Tosio
1962
Nonlinear evolution equations and the Euler flow. Zbl 0545.76007
Kato, Tosio; Lai, Chi Yuen
1984
On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001
Kato, Tosio
1983
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
1986
Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077
Kato, Tosio
1975
On the abstract evolution equation. Zbl 0106.09302
Kato, Tosio; Tanabe, Hiroki
1962
Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701
Kato, Tosio
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
1972
The abstract theory of scattering. Zbl 0241.47005
Kato, Tosio; Kuroda, S. T.
1971
Notes on some inequalities for linear operators. Zbl 0048.35301
Kato, Tosio
1952
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
Smooth operators and commutators. Zbl 0215.48802
Kato, Tosio
1968
Note on fractional powers of linear operators. Zbl 0097.31802
Kato, Tosio
1960
Continuity of the map $$S \to |S|$$ for linear operators. Zbl 0301.47006
Kato, Tosio
1973
Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502
Kato, Tosio
1959
Fractional powers of dissipative operators. II. Zbl 0108.11203
Kato, Tosio
1962
A generalization of the Heinz inequality. Zbl 0104.09304
Kato, Tosio
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
1994
Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001
Kato, Tosio
1960
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
1970
On linear differential equations in Banach spaces. Zbl 0070.34602
Kato, Tosio
1956
Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067
Jensen, Arne; 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
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
On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701
Kato, Tosio
1954
On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402
Kato, Tosio
1957
An $$L^{q,r}$$-theory for nonlinear Schrödinger equations. Zbl 0832.35131
Kato, Tosio
1994
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
High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036
Hersh, Reuben; Kato, Tosio
1979
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
1978
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
Kato, Tosio
1982
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
1970
Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504
Kato, Tosio
1967
Perturbation theory of semi-bounded operators. Zbl 0050.34502
Kato, Tosio
1953
Variation of discrete spectra. Zbl 0632.47002
Kato, Tosio
1987
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067
Kato, Tosio
1984
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
2000
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
1978
Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701
Kato, Tosio
1964
Some mapping theorems for the numerical range. Zbl 0143.36702
Kato, Tosio
1965
Holomorphic families of Dirac operators. Zbl 0515.47006
Kato, Tosio
1983
Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007
Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P.
1982
On the Trotter-Lie product formula. Zbl 0336.47018
Kato, Tosio
1974
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
1982
On subordinated holomorphic semigroups. Zbl 0743.47017
Carasso, Alfred S.; Kato, Tosio
1991
A characterization of holomorphic semigroups. Zbl 0199.45604
Kato, Tosio
1970
On some approximate methods concerning the operators $$T^*T$$. Zbl 0051.09203
Kato, Tosio
1953
Nonlinear Schrödinger equations. Zbl 0698.35131
Kato, Tosio
1989
Spectral order and a matrix limit theorem. Zbl 0424.47018
Kato, Tosio
1979
Variational methods in collision problems. Zbl 0039.42502
Kato, Tosio
1950
Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065
Kato, Tosio
1993
Boundedness of some pseudodifferential operators. Zbl 0342.47029
Kato, Tosio
1976
Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107
Kato, Tosio
1990
Perturbation of closed operators and their adjoints. Zbl 0263.47015
Hess, Peter; Kato, Tosio
1970
Nonlinear evolution equations in Banach spaces. Zbl 0173.17104
Kato, T.
1965
On some Schrödinger operators with a singular complex potential. Zbl 0376.47021
Kato, Tosio
1978
On the analyticity of solution of evolution equations. Zbl 0154.16403
Kato, Tosio; Tanabe, H.
1967
Scattering with long range potentials. Zbl 0263.47008
Alsholm, P.; Kato, Tosio
1973
On nonstationary flows of viscous and ideal fluids in $$L^ p_ s({\mathbb{R}}^ 2)$$. Zbl 0649.76011
Kato, Tosio; Ponce, Gustavo
1987
Monotonicity theorems in scattering theory. Zbl 0426.47004
Kato, Tosio
1978
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; Kato, Tosio
1972
On the convergence of the perturbation method. Zbl 0045.21602
Kato, Tosio
1951
On the perturbation theory of closed linear operators. Zbl 0048.35402
Katô, Tosio
1952
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
Positive commutators $$i[f(P),g(Q)]$$. Zbl 0751.47020
Kato, Tosio
1991
Weak solutions of infinite-dimensional Hamiltonian systems. Zbl 0748.35016
Kato, T.
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
Remarks on the Euler and Navier-Stokes equations in $$R^ 2$$. Zbl 0598.35093
Kato, Tosio
1986
$$L^ p$$-theory of Schrödinger operators with a singular potential. Zbl 0627.47025
Kato, Tosio
1986
Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049
Kato, Tosio
1986
Strong $$L^ p$$-solutions of the Navier-Stokes equation in $$R^ m$$, with applications to weak solutions. Zbl 0545.35073
Kato, Tosio
1984
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
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
Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012
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
Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027
Kato, Tosio
1981
An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026
Kato, Tosio; Satake, Ichirô
1981
On a theorem of Ismagilov. Zbl 0487.47022
Howland, James S.; Kato, Tosio
1981
The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064
Kato, Tosio
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 nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031
Kato, T.; Masuda, K.
1978
Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018
Kato, Tosio
1978
Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023
Kato, Tosio
1978
On some Schrödinger operators with a singular complex potential. Zbl 0376.47021
Kato, Tosio
1978
Monotonicity theorems in scattering theory. Zbl 0426.47004
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 coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003
Kato, Tosio
1975
On a matrix limit theorem. Zbl 0332.47001
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. (Теория возмущений линейных операторов.) Zbl 0247.47009
Kato, Tosio
1972
Local boundedness of monotone-type operators. Zbl 0252.47057
Fitzpatrick, P. M.; Hess, P.; 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
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
Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004
Kato, Tosio; Kuroda, S. T.
1970
Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069
Kato, Tosio
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 10,492 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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