Edit Profile (opens in new tab) Kato, Tosio (b. 1917 d. 1999) Co-Author Distance Author ID: kato.tosio Published as: Kato, Tosio; Kato, T.; Katô, Tosio more...less 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: 32 Co-Authors with 35 Joint Publications 1,435 Co-Co-Authors all top 5 Co-Authors 114 single-authored 5 Ponce, Gustavo 3 Fujita, Hiroshi 3 Hess, Peter 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 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 Tôhoku 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 all top 5 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) 6 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 18,118 times in 15,237 Documents Cited by ▼ Year ▼ Perturbation theory for linear operators. Zbl 0148.12601 Kato, Tosio 3,508 1966 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009 Kato, Tosio 1,794 1995 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066 Kato, Tosio; Ponce, Gustavo 999 1988 Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009 Kato, Tosio 978 1976 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001 Kato, Tosio 784 1980 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073 Kato, Tosio 687 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029 Beale, J. T.; Kato, T.; Majda, A. 674 1984 On the Navier-Stokes initial value problem. I. Zbl 0126.42301 Fujita, H.; Kato, Tosio 643 1964 Nonlinear semigroups and evolution equations. Zbl 0163.38303 Kato, Tosio 451 1967 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056 Kato, Tosio 422 1975 Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203 Kato, T. 295 1966 Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018 Kato, Tosio 295 1972 Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003 Kato, Tosio 285 1958 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080 Jensen, Arne; Kato, Tosio 267 1979 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025 Brézis, Haïm; Kato, Tosio 242 1979 On nonlinear Schrödinger equations. Zbl 0632.35038 Kato, Tosio 240 1987 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014 Kato, Tosio 208 1984 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011 Kato, Tosio 199 1970 Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502 Kato, Tosio 196 1959 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302 Kato, Tosio 175 1967 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. 163 1977 The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064 Kato, Tosio; McLeod, J. B. 158 1971 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077 Kato, Tosio 158 1975 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075 Hess, Peter; Kato, Tosio 153 1980 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124 Kato, Tosio 150 1995 On the nonstationary Navier-Stokes systems. Zbl 0114.05002 Kato, Tosio; Fujita, H. 149 1962 On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001 Kato, Tosio 148 1983 Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048 Kato, T. 145 1973 Fractional powers of dissipative operators. Zbl 0113.10005 Kato, Tosio 144 1961 A short introduction to perturbation theory for linear operators. Zbl 0493.47008 Kato, Tosio 139 1982 On the Korteweg-de Vries equation. Zbl 0415.35070 Kato, Tosio 132 1979 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052 Kato, Tosio 127 1992 Integration of the equation of evolution in a Banach space. Zbl 0052.12601 Kato, Tosio 125 1953 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053 Kato, Tosio 117 1980 On the eigenfunctions of many-particle systems in quantum mechanics. Zbl 0077.20904 Kato, Tosio 113 1957 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005 Kato, Tosio; Yajima, Kenji 100 1989 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007 Kato, Tosio; Lai, Chi Yuen 88 1984 Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801 Ikebe, Teruo; Kato, Tosio 88 1962 Nonlinear evolution equations and analyticity. I. Zbl 0622.35066 Kato, Tosio; Masuda, Kyûya 88 1986 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 78 1972 Notes on some inequalities for linear operators. Zbl 0048.35301 Kato, Tosio 77 1952 On the abstract evolution equation. Zbl 0106.09302 Kato, Tosio; Tanabe, Hiroki 72 1962 Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701 Kato, Tosio 72 1951 The abstract theory of scattering. Zbl 0241.47005 Kato, Tosio; Kuroda, S. T. 64 1971 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067 Kato, Tosio 57 1984 Perturbation of continuous spectra by trace class operators. Zbl 0090.33101 Kato, Tosio 55 1957 Scattering theory with two Hilbert spaces. Zbl 0171.12303 Kato, T. 55 1967 Abstract evolution equations of parabolic type in Banach and Hilbert spaces. Zbl 0114.06102 Kato, T. 53 1961 Smooth operators and commutators. Zbl 0215.48802 Kato, Tosio 51 1968 Note on fractional powers of linear operators. Zbl 0097.31802 Kato, Tosio 49 1960 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006 Kato, Tosio 47 1973 Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502 Kato, Tosio 46 1959 A generalization of the Heinz inequality. Zbl 0104.09304 Kato, Tosio 45 1961 Fractional powers of dissipative operators. II. Zbl 0108.11203 Kato, Tosio 44 1962 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018 Kato, Tosio 42 1978 The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094 Kato, Tosio 42 1994 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131 Kato, Tosio 38 1994 On linear differential equations in Banach spaces. Zbl 0070.34602 Kato, Tosio 36 1956 Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001 Kato, Tosio 36 1960 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 Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069 Kato, Tosio 35 1970 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067 Jensen, Arne; Kato, Tosio 35 1978 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031 Kato, T.; Masuda, K. 34 1978 On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701 Kato, Tosio 33 1954 Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004 Kato, Tosio; Kuroda, S. T. 32 1970 On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402 Kato, Tosio 30 1957 Nonlinear Schrödinger equations. Zbl 0698.35131 Kato, Tosio 30 1989 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022 Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 29 2000 On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021 Kato, Tosio 28 1971 High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036 Hersh, Reuben; Kato, Tosio 28 1979 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012 Kato, Tosio 27 1982 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. 26 1988 Wave operators and unitary equivalence. Zbl 0125.34902 Kato, Tosio 26 1965 Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052 Kato, T. 26 1977 Variation of discrete spectra. Zbl 0632.47002 Kato, Tosio 25 1987 Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007 Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P. 25 1982 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107 Kato, Tosio 25 1990 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023 Kato, Tosio 25 1978 Perturbation theory of semi-bounded operators. Zbl 0050.34502 Kato, Tosio 24 1953 Holomorphic families of Dirac operators. Zbl 0515.47006 Kato, Tosio 23 1983 Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504 Kato, Tosio 23 1967 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065 Kato, Tosio 23 1993 On the Trotter-Lie product formula. Zbl 0336.47018 Kato, Tosio 22 1974 Some mapping theorems for the numerical range. Zbl 0143.36702 Kato, Tosio 22 1965 Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701 Kato, Tosio 21 1964 A generalization of dissipativity and positive semigroups. Zbl 0494.47026 Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 20 1982 Boundedness of some pseudodifferential operators. Zbl 0342.47029 Kato, Tosio 20 1976 On subordinated holomorphic semigroups. Zbl 0743.47017 Carasso, Alfred S.; Kato, Tosio 20 1991 On some approximate methods concerning the operators \(T^*T\). Zbl 0051.09203 Kato, Tosio 20 1953 Perturbation of closed operators and their adjoints. Zbl 0263.47015 Hess, Peter; Kato, Tosio 19 1970 A characterization of holomorphic semigroups. Zbl 0199.45604 Kato, Tosio 19 1970 Variational methods in collision problems. Zbl 0039.42502 Kato, Tosio 18 1950 Spectral order and a matrix limit theorem. Zbl 0424.47018 Kato, Tosio 18 1979 Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070 Kato, Tosio 17 1972 Remarks on the Euler and Navier-Stokes equations in \(R^ 2\). Zbl 0598.35093 Kato, Tosio 17 1986 On some Schrödinger operators with a singular complex potential. Zbl 0376.47021 Kato, Tosio 17 1978 On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011 Kato, Tosio; Ponce, Gustavo 16 1987 Nonlinear evolution equations in Banach spaces. Zbl 0173.17104 Kato, T. 16 1965 Scattering with long range potentials. Zbl 0263.47008 Alsholm, P.; Kato, Tosio 16 1973 On the analyticity of solution of evolution equations. Zbl 0154.16403 Kato, Tosio; Tanabe, H. 15 1967 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022 Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 29 2000 On the smoothness of trajectories in incompressible perfect fluids. Zbl 0972.35102 Kato, Tosio 8 2000 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009 Kato, Tosio 1,794 1995 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124 Kato, Tosio 150 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 42 1994 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131 Kato, Tosio 38 1994 The Navier-Stokes equation with weak initial data. Zbl 0837.35116 Kato, Tosio; Ponce, Gustavo 12 1994 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065 Kato, Tosio 23 1993 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052 Kato, Tosio 127 1992 On subordinated holomorphic semigroups. Zbl 0743.47017 Carasso, Alfred S.; Kato, Tosio 20 1991 Positive commutators \(i[f(P),g(Q)]\). Zbl 0751.47020 Kato, Tosio 2 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 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107 Kato, Tosio 25 1990 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005 Kato, Tosio; Yajima, Kenji 100 1989 Nonlinear Schrödinger equations. Zbl 0698.35131 Kato, Tosio 30 1989 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066 Kato, Tosio; Ponce, Gustavo 999 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. 26 1988 On nonlinear Schrödinger equations. Zbl 0632.35038 Kato, Tosio 240 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 25 1987 On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011 Kato, Tosio; Ponce, Gustavo 16 1987 Nonlinear evolution equations and analyticity. I. Zbl 0622.35066 Kato, Tosio; Masuda, Kyûya 88 1986 Remarks on the Euler and Navier-Stokes equations in \(R^ 2\). Zbl 0598.35093 Kato, Tosio 17 1986 \(L^ p\)-theory of Schrödinger operators with a singular potential. Zbl 0627.47025 Kato, Tosio 6 1986 Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049 Kato, Tosio 4 1986 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073 Kato, Tosio 687 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029 Beale, J. T.; Kato, T.; Majda, A. 674 1984 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014 Kato, Tosio 208 1984 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007 Kato, Tosio; Lai, Chi Yuen 88 1984 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067 Kato, Tosio 57 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 7 1984 Remarks on holomorphic families of Schrödinger and Dirac operators. Zbl 0565.47011 Kato, Tosio 4 1984 On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001 Kato, Tosio 148 1983 Holomorphic families of Dirac operators. Zbl 0515.47006 Kato, Tosio 23 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 139 1982 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012 Kato, Tosio 27 1982 Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007 Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P. 25 1982 A generalization of dissipativity and positive semigroups. Zbl 0494.47026 Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 20 1982 Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027 Kato, Tosio 12 1981 The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064 Kato, Tosio 5 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 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001 Kato, Tosio 784 1980 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075 Hess, Peter; Kato, Tosio 153 1980 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053 Kato, Tosio 117 1980 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080 Jensen, Arne; Kato, Tosio 267 1979 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025 Brézis, Haïm; Kato, Tosio 242 1979 On the Korteweg-de Vries equation. Zbl 0415.35070 Kato, Tosio 132 1979 High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036 Hersh, Reuben; Kato, Tosio 28 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 7 1979 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018 Kato, Tosio 42 1978 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067 Jensen, Arne; Kato, Tosio 35 1978 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031 Kato, T.; Masuda, K. 34 1978 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023 Kato, Tosio 25 1978 On some Schrödinger operators with a singular complex potential. Zbl 0376.47021 Kato, Tosio 17 1978 Monotonicity theorems in scattering theory. Zbl 0426.47004 Kato, Tosio 14 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. 163 1977 Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052 Kato, T. 26 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 978 1976 Boundedness of some pseudodifferential operators. Zbl 0342.47029 Kato, Tosio 20 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 422 1975 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077 Kato, Tosio 158 1975 On a coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003 Kato, Tosio 5 1975 On a matrix limit theorem. Zbl 0332.47001 Kato, Tosio 3 1975 On the Trotter-Lie product formula. Zbl 0336.47018 Kato, Tosio 22 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. 145 1973 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006 Kato, Tosio 47 1973 Scattering with long range potentials. Zbl 0263.47008 Alsholm, P.; Kato, Tosio 16 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 295 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 78 1972 Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070 Kato, Tosio 17 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. 158 1971 The abstract theory of scattering. Zbl 0241.47005 Kato, Tosio; Kuroda, S. T. 64 1971 On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021 Kato, Tosio 28 1971 Scattering theory and perturbation of continuous spectra. Zbl 0244.47003 Kato, Tosio 4 1971 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011 Kato, Tosio 199 1970 Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069 Kato, Tosio 35 1970 Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004 Kato, Tosio; Kuroda, S. T. 32 1970 Perturbation of closed operators and their adjoints. Zbl 0263.47015 Hess, Peter; Kato, Tosio 19 1970 A characterization of holomorphic semigroups. Zbl 0199.45604 Kato, Tosio 19 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 51 1968 Nonlinear semigroups and evolution equations. Zbl 0163.38303 Kato, Tosio 451 1967 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302 Kato, Tosio 175 1967 Scattering theory with two Hilbert spaces. Zbl 0171.12303 Kato, T. 55 1967 Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504 Kato, Tosio 23 1967 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,284 Authors 58 Fan, Jishan 57 Simon, Barry 54 Jeribi, Aref 50 Gesztesy, Fritz 49 Ozawa, Tohru 48 Nazarov, Sergeĭ Aleksandrovich 44 Chae, Dongho 41 Guo, Boling 41 Wang, Shu 40 Kato, Tosio 38 Krejčiřík, David 38 Zhou, Yong 35 Ponce, Gustavo 33 Ogawa, Takayoshi 32 Chidume, Charles Ejike 32 Yin, Zhaoyang 32 Zhang, Zhifei 31 Lotoreichik, Vladimir 30 Wu, Jiahong 30 Zhang, Ping 30 Znojil, Miloslav 29 Goldstein, Jerome Arthur 29 Malamud, Mark M. 28 Lasiecka, Irena 28 Liu, Qiao 27 Gala, Sadek 27 Kozono, Hideo 27 Tretter, Christiane 27 Zagrebnov, Valentin A. 26 Ferreira, Lucas Catão de Freitas 26 Hayashi, Nakao 26 Vega, Luis 26 Xu, Jiang 25 Borisov, Denis Ivanovich 25 Dong, Boqing 25 Exner, Pavel 25 Faierman, Melvin 25 Neidhardt, Hagen 25 Yamazaki, Kazuo 25 Zhang, Ting 24 Albeverio, Sergio A. 24 Behrndt, Jussi 24 Davies, Edward Brian 24 Jensen, Arne 24 López-Gómez, Julián 24 Peng, Yuejun 24 Suslina, Tat’yana Aleksandrovna 24 Triggiani, Roberto 24 Yuan, Baoquan 24 Zhao, Jihong 23 Constantin, Peter 23 Himonas, A. Alexandrou 23 Kopylova, Elena A. 23 Schechter, Martin 23 Sukochev, Fedor Anatol’evich 23 Xin, Zhouping 22 Nakamura, Gen 22 Pu, Xueke 21 Danchin, Raphaël 21 Kenig, Carlos Eduardo 21 Kukavica, Igor 21 Weder, Ricardo A. 20 Ammar, Aymen 20 Favini, Angelo 20 Feireisl, Eduard 20 Herbst, Ira W. 20 Lai, Shaoyong 20 Li, Fucai 20 Rautian, Nadegda Aleksandrovna 20 Robinson, Derek William 20 Ye, Zhuan 19 Bardos, Claude Williams 19 Chemin, Jean-Yves 19 Evans, William Desmond 19 Farwig, Reinhard 19 Giga, Yoshikazu 19 Hou, Thomas Yizhao 19 Linares, Felipe 19 Liu, Yue 19 Mitrea, Marius 19 Paicu, Marius 19 Pelinovsky, Dmitry Efimovich 19 Shkalikov, Andreĭ Andreevich 19 Skubachevskiĭ, Aleksandr Leonidovich 19 Vlasov, Viktor Valentinovich 19 Webb, Glenn Francis 19 Yajima, Kenji 19 Zhao, Xiaopeng 19 Zhu, Mingxuan 18 Beirão da Veiga, Hugo 18 Cornean, Horia D. 18 Gallagher, Isabelle 18 Howland, James S. 18 Joye, Alain 18 Naboko, Serguei N. 18 Nambu, Takao 18 Rehberg, Joachim 18 Seo, Ihyeok 18 Soffer, Avraham 18 Titi, Edriss Saleh ...and 12,184 more Authors all top 5 Cited in 778 Serials 786 Journal of Mathematical Analysis and Applications 706 Journal of Differential Equations 558 Communications in Mathematical Physics 493 Journal of Functional Analysis 383 Journal of Mathematical Physics 324 Archive for Rational Mechanics and Analysis 294 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 249 Proceedings of the American Mathematical Society 239 Transactions of the American Mathematical Society 206 Integral Equations and Operator Theory 197 Communications in Partial Differential Equations 189 Linear Algebra and its Applications 179 Mathematische Annalen 170 Mathematische Zeitschrift 157 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 154 Mathematical Methods in the Applied Sciences 145 Journal of Evolution Equations 143 Journal of Mathematical Sciences (New York) 134 SIAM Journal on Mathematical Analysis 133 ZAMP. Zeitschrift für angewandte Mathematik und Physik 131 Nonlinear Analysis. Theory, Methods & Applications 127 Journal of Mathematical Fluid Mechanics 125 Discrete and Continuous Dynamical Systems 120 Applicable Analysis 114 Advances in Mathematics 109 Mathematical Notes 107 Annales Henri Poincaré 103 Journal of Statistical Physics 103 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 94 Mathematische Nachrichten 94 Physica D 94 Nonlinear Analysis. Real World Applications 88 Letters in Mathematical Physics 88 Numerische Mathematik 86 Journal de Mathématiques Pures et Appliquées. Neuvième Série 83 Communications on Pure and Applied Analysis 82 Applied Mathematics Letters 80 Mathematics of Computation 78 Annali di Matematica Pura ed Applicata. Serie Quarta 76 Publications of the Research Institute for Mathematical Sciences, Kyoto University 73 Israel Journal of Mathematics 73 Duke Mathematical Journal 73 Annales de l’Institut Henri Poincaré. Physique Théorique 71 Journal of Dynamics and Differential Equations 69 Computers & Mathematics with Applications 68 Ukrainian Mathematical Journal 68 Siberian Mathematical Journal 67 Journal d’Analyse Mathématique 67 Nonlinearity 67 Applied Mathematics and Computation 66 Complex Analysis and Operator Theory 63 Functional Analysis and its Applications 63 Calculus of Variations and Partial Differential Equations 62 Acta Applicandae Mathematicae 62 Discrete and Continuous Dynamical Systems. Series B 57 Acta Mathematica Sinica. English Series 56 Linear and Multilinear Algebra 55 NoDEA. Nonlinear Differential Equations and Applications 55 Bulletin of the American Mathematical Society 54 Journal of Soviet Mathematics 54 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 53 Journal of Nonlinear Science 53 Differential Equations 52 Reviews in Mathematical Physics 52 Proceedings of the Japan Academy. Series A 52 Journal of Spectral Theory 51 Manuscripta Mathematica 49 Journal of Computational and Applied Mathematics 48 Applied Mathematics and Optimization 48 Abstract and Applied Analysis 47 Theoretical and Mathematical Physics 47 Transport Theory and Statistical Physics 47 Numerical Functional Analysis and Optimization 47 St. Petersburg Mathematical Journal 46 International Journal of Control 46 Reports on Mathematical Physics 45 Science China. Mathematics 44 Monatshefte für Mathematik 44 The Journal of Geometric Analysis 43 Boundary Value Problems 41 Proceedings of the Japan Academy 40 Inventiones Mathematicae 40 Discrete and Continuous Dynamical Systems. Series S 39 Rocky Mountain Journal of Mathematics 39 Annales de l’Institut Fourier 39 Systems & Control Letters 38 Journal of Optimization Theory and Applications 38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 37 Archiv der Mathematik 37 Semigroup Forum 37 Communications in Contemporary Mathematics 37 Lobachevskii Journal of Mathematics 36 Rendiconti del Circolo Matemàtico di Palermo. Serie II 36 Tôhoku Mathematical Journal. Second Series 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 35 Rendiconti del Seminario Matematico della Università di Padova 35 Comptes Rendus. Mathématique. Académie des Sciences, Paris 35 Journal of Physics A: Mathematical and Theoretical 34 Journal of Computational Physics 34 Journal of Mathematical Biology ...and 678 more Serials all top 5 Cited in 62 Fields 8,416 Partial differential equations (35-XX) 4,334 Operator theory (47-XX) 2,842 Fluid mechanics (76-XX) 1,621 Quantum theory (81-XX) 1,377 Ordinary differential equations (34-XX) 969 Numerical analysis (65-XX) 916 Functional analysis (46-XX) 702 Probability theory and stochastic processes (60-XX) 655 Dynamical systems and ergodic theory (37-XX) 641 Global analysis, analysis on manifolds (58-XX) 632 Statistical mechanics, structure of matter (82-XX) 506 Systems theory; control (93-XX) 441 Linear and multilinear algebra; matrix theory (15-XX) 437 Harmonic analysis on Euclidean spaces (42-XX) 408 Mechanics of deformable solids (74-XX) 393 Biology and other natural sciences (92-XX) 304 Calculus of variations and optimal control; optimization (49-XX) 292 Integral equations (45-XX) 267 Optics, electromagnetic theory (78-XX) 266 Differential geometry (53-XX) 200 Real functions (26-XX) 147 Geophysics (86-XX) 137 Functions of a complex variable (30-XX) 135 Statistics (62-XX) 122 Mechanics of particles and systems (70-XX) 120 Difference and functional equations (39-XX) 119 Relativity and gravitational theory (83-XX) 101 Approximations and expansions (41-XX) 91 Potential theory (31-XX) 86 Combinatorics (05-XX) 83 Measure and integration (28-XX) 78 Operations research, mathematical programming (90-XX) 74 Several complex variables and analytic spaces (32-XX) 74 Classical thermodynamics, heat transfer (80-XX) 72 Special functions (33-XX) 71 Topological groups, Lie groups (22-XX) 58 Number theory (11-XX) 54 Abstract harmonic analysis (43-XX) 52 Computer science (68-XX) 49 Astronomy and astrophysics (85-XX) 43 Integral transforms, operational calculus (44-XX) 43 Manifolds and cell complexes (57-XX) 41 Algebraic geometry (14-XX) 37 Information and communication theory, circuits (94-XX) 34 Algebraic topology (55-XX) 27 General topology (54-XX) 25 Group theory and generalizations (20-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Associative rings and algebras (16-XX) 17 History and biography (01-XX) 17 \(K\)-theory (19-XX) 16 General and overarching topics; collections (00-XX) 16 Mathematical logic and foundations (03-XX) 13 Nonassociative rings and algebras (17-XX) 11 Geometry (51-XX) 10 Sequences, series, summability (40-XX) 10 Convex and discrete geometry (52-XX) 7 Field theory and polynomials (12-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Category theory; homological algebra (18-XX) 4 Commutative algebra (13-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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