Edit Profile Kato, Tosio Compute Distance To: Compute Author ID: kato.tosio Published as: Kato, T.; Kato, Tosio; Katô, Tosio External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor Documents Indexed: 149 Publications since 1950, including 10 Books Biographic References: 5 Publications all top 5 Co-Authors 114 single-authored 5 Ponce, Gustavo 3 Fujita, Hiroshi 2 Hess, Peter O. 2 Jensen, Arne 2 Kuroda, Shige Toshi 2 Masuda, Kyûya 2 Tanabe, Hiroki 2 Yajima, Kenji 1 Alsholm, Preben 1 Arendt, Wolfgang 1 Beale, J. Thomas 1 Brézis, Haïm 1 Carasso, Alfred S. 1 Chernoff, Paul R. 1 Cohen, Joel E. 1 Fitzpatrick, P. Michael 1 Friedland, Shmuel 1 Hersh, Reuben 1 Hess, Patrícia 1 Howland, James S. 1 Hughes, Thomas J. R. 1 Ikebe, Teruo 1 Kelly, Frank P. 1 Lai, Chi Yuen 1 Majda, Andrew J. 1 Marsden, Jerrold Eldon 1 McLeod, John Bryce 1 Mitrea, Marius 1 Nakata, Yoshimoto 1 Newman, Morris 1 Satake, Ichirô 1 Taussky-Todd, Olga 1 Taylor, Michael Eugene 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 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) 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 146 Publications have been cited 15,560 times in 13,083 Documents Cited by ▼ Year ▼ Perturbation theory for linear operators. Zbl 0148.12601Kato, Tosio 3,263 1966 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009Kato, Tosio 1,197 1995 Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009Kato, Tosio 1,126 1976 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001Kato, Tosio 871 1980 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066Kato, Tosio; Ponce, Gustavo 697 1988 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029Beale, J. T.; Kato, T.; Majda, A. 530 1984 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073Kato, Tosio 526 1984 On the Navier-Stokes initial value problem. I. Zbl 0126.42301Fujita, H.; Kato, Tosio 502 1964 Nonlinear semigroups and evolution equations. Zbl 0163.38303Kato, Tosio 406 1967 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056Kato, Tosio 305 1975 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014Kato, Tosio 261 1984 Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203Kato, T. 252 1966 Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003Kato, Tosio 243 1958 Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018Kato, Tosio 240 1972 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080Jensen, Arne; Kato, Tosio 219 1979 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025Brézis, Haïm; Kato, Tosio 183 1979 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011Kato, Tosio 181 1970 On nonlinear Schrödinger equations. Zbl 0632.35038Kato, Tosio 176 1987 Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502Kato, Tosio 165 1959 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302Kato, Tosio 160 1967 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077Kato, Tosio 155 1975 On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001Kato, Tosio 152 1983 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 142 1977 The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064Kato, Tosio; McLeod, J. B. 139 1971 Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048Kato, T. 130 1973 On the nonstationary Navier-Stokes systems. Zbl 0114.05002Kato, Tosio; Fujita, H. 129 1962 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 124 1980 A short introduction to perturbation theory for linear operators. Zbl 0493.47008Kato, Tosio 120 1982 Integration of the equation of evolution in a Banach space. Zbl 0052.12601Kato, Tosio 118 1953 On the Korteweg-de Vries equation. Zbl 0415.35070Kato, Tosio 112 1979 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124Kato, Tosio 110 1995 Fractional powers of dissipative operators. Zbl 0113.10005Kato, Tosio 104 1961 On the eigenfunctions of many-particle systems in quantum mechanics. Zbl 0077.20904Kato, Tosio 87 1957 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053Kato, Tosio 84 1980 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052Kato, Tosio 83 1992 Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801Ikebe, Teruo; Kato, Tosio 83 1962 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005Kato, Tosio; Yajima, Kenji 78 1989 Perturbation theory for linear operators. Translated from the English by G. A. Voropaeva, A. M. Stëpin und I. A. Shishmarëv. Edited by V. P. Maslov. Zbl 0247.47009Kato, Tosio 72 1972 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007Kato, Tosio; Lai, Chi Yuen 69 1984 On the abstract evolution equation. Zbl 0106.09302Kato, Tosio; Tanabe, Hiroki 67 1962 Nonlinear evolution equations and analyticity. I. Zbl 0622.35066Kato, Tosio; Masuda, Kyûya 66 1986 Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701Kato, Tosio 62 1951 The abstract theory of scattering. Zbl 0241.47005Kato, Tosio; Kuroda, S. T. 54 1971 Scattering theory with two Hilbert spaces. Zbl 0171.12303Kato, T. 50 1967 Perturbation of continuous spectra by trace class operators. Zbl 0090.33101Kato, Tosio 49 1957 Abstract evolution equations of parabolic type in Banach and Hilbert spaces. Zbl 0114.06102Kato, T. 48 1961 Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069Kato, Tosio 47 1970 Smooth operators and commutators. Zbl 0215.48802Kato, Tosio 46 1968 Notes on some inequalities for linear operators. Zbl 0048.35301Kato, Tosio 46 1952 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006Kato, Tosio 41 1973 Fractional powers of dissipative operators. II. Zbl 0108.11203Kato, Tosio 39 1962 A generalization of the Heinz inequality. Zbl 0104.09304Kato, Tosio 37 1961 Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502Kato, Tosio 37 1959 Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0615.35078Kato, Tosio; Ponce, Gustavo 36 1987 Note on fractional powers of linear operators. Zbl 0097.31802Kato, Tosio 36 1960 On linear differential equations in Banach spaces. Zbl 0070.34602Kato, Tosio 35 1956 The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094Kato, Tosio 34 1994 Nonlinear Schrödinger equations. Zbl 0698.35131Kato, Tosio 34 1989 Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001Kato, Tosio 32 1960 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131Kato, Tosio 31 1994 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067Jensen, Arne; Kato, Tosio 31 1978 Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004Kato, Tosio; Kuroda, S. T. 31 1970 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018Kato, Tosio 30 1978 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067Kato, Tosio 29 1984 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031Kato, T.; Masuda, K. 28 1978 On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701Kato, Tosio 27 1954 High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036Hersh, Reuben; Kato, Tosio 26 1979 On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402Kato, Tosio 26 1957 On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021Kato, Tosio 25 1971 Wave operators and unitary equivalence. Zbl 0125.34902Kato, Tosio 25 1965 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107Kato, Tosio 24 1990 Nonlinear evolution equations in Banach spaces. Zbl 0173.17104Kato, T. 24 1965 Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504Kato, Tosio 23 1967 Variation of discrete spectra. Zbl 0632.47002Kato, Tosio 22 1987 Some mapping theorems for the numerical range. Zbl 0143.36702Kato, Tosio 21 1965 Perturbation theory of semi-bounded operators. Zbl 0050.34502Kato, Tosio 21 1953 Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P. 20 1982 Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701Kato, Tosio 20 1964 On subordinated holomorphic semigroups. Zbl 0743.47017Carasso, Alfred S.; Kato, Tosio 19 1991 A generalization of dissipativity and positive semigroups. Zbl 0494.47026Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 19 1982 A characterization of holomorphic semigroups. Zbl 0199.45604Kato, Tosio 19 1970 Holomorphic families of Dirac operators. Zbl 0515.47006Kato, Tosio 18 1983 Spectral order and a matrix limit theorem. Zbl 0424.47018Kato, Tosio 18 1979 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023Kato, Tosio 18 1978 On the Trotter-Lie product formula. Zbl 0336.47018Kato, Tosio 18 1974 On some approximate methods concerning the operators \(T^*T\). Zbl 0051.09203Kato, Tosio 18 1953 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012Kato, Tosio 17 1982 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065Kato, Tosio 16 1993 Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070Kato, Tosio 16 1972 Variational methods in collision problems. Zbl 0039.42502Kato, Tosio 16 1950 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 15 2000 Scattering with long range potentials. Zbl 0263.47008Alsholm, P.; Kato, Tosio 15 1973 Perturbation of closed operators and their adjoints. Zbl 0263.47015Hess, Peter; Kato, Tosio 15 1970 The Navier-Stokes equation with weak initial data. Zbl 0837.35116Kato, Tosio; Ponce, Gustavo 14 1994 Boundedness of some pseudodifferential operators. Zbl 0342.47029Kato, Tosio 14 1976 On the analyticity of solution of evolution equations. Zbl 0154.16403Kato, Tosio; Tanabe, H. 14 1967 On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011Kato, Tosio; Ponce, Gustavo 13 1987 Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027Kato, Tosio 13 1981 Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052Kato, T. 13 1977 Local boundedness of monotone-type operators. Zbl 0252.47057Fitzpatrick, P. M.; Hess, P.; Kato, Tosio 13 1972 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 15 2000 On the smoothness of trajectories in incompressible perfect fluids. Zbl 0972.35102Kato, Tosio 6 2000 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009Kato, Tosio 1,197 1995 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124Kato, Tosio 110 1995 The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094Kato, Tosio 34 1994 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131Kato, Tosio 31 1994 The Navier-Stokes equation with weak initial data. Zbl 0837.35116Kato, Tosio; Ponce, Gustavo 14 1994 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065Kato, Tosio 16 1993 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052Kato, Tosio 83 1992 On subordinated holomorphic semigroups. Zbl 0743.47017Carasso, Alfred S.; Kato, Tosio 19 1991 Dirac equations with moving nuclei. Zbl 0748.35033Kato, T.; Yajima, K. 2 1991 Weak solutions of infinite-dimensional Hamiltonian systems. Zbl 0748.35016Kato, T. 1 1991 Positive commutators \(i[f(P),g(Q)]\). Zbl 0751.47020Kato, Tosio 1 1991 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107Kato, Tosio 24 1990 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005Kato, Tosio; Yajima, Kenji 78 1989 Nonlinear Schrödinger equations. Zbl 0698.35131Kato, Tosio 34 1989 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066Kato, Tosio; Ponce, Gustavo 697 1988 Abstract differential equations and nonlinear mixed problems. (Based on the Fermi Lectures held May 1985 at Scuola Normale Superiore, Pisa). Zbl 0648.35001Kato, T. 11 1988 On nonlinear Schrödinger equations. Zbl 0632.35038Kato, Tosio 176 1987 Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0615.35078Kato, Tosio; Ponce, Gustavo 36 1987 Variation of discrete spectra. Zbl 0632.47002Kato, Tosio 22 1987 On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011Kato, Tosio; Ponce, Gustavo 13 1987 Nonlinear evolution equations and analyticity. I. Zbl 0622.35066Kato, Tosio; Masuda, Kyûya 66 1986 \(L^ p\)-theory of Schrödinger operators with a singular potential. Zbl 0627.47025Kato, Tosio 10 1986 Remarks on the Euler and Navier-Stokes equations in \(R^ 2\). Zbl 0598.35093Kato, Tosio 8 1986 Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049Kato, Tosio 5 1986 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029Beale, J. T.; Kato, T.; Majda, A. 530 1984 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073Kato, Tosio 526 1984 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014Kato, Tosio 261 1984 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007Kato, Tosio; Lai, Chi Yuen 69 1984 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067Kato, Tosio 29 1984 Locally coercive nonlinear equations, with applications to some periodic solutions. Zbl 0571.47051Kato, Tosio 10 1984 Nonselfadjoint Schrödinger operators with singular first-order coefficients. Zbl 0555.35025Kato, Tosio 5 1984 Remarks on holomorphic families of Schrödinger and Dirac operators. Zbl 0565.47011Kato, Tosio 3 1984 On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001Kato, Tosio 152 1983 Holomorphic families of Dirac operators. Zbl 0515.47006Kato, Tosio 18 1983 Quasi-linear equations of evolution in nonreflexive Banach spaces. Zbl 0532.35048Kato, Tosio 4 1983 A short introduction to perturbation theory for linear operators. Zbl 0493.47008Kato, Tosio 120 1982 Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P. 20 1982 A generalization of dissipativity and positive semigroups. Zbl 0494.47026Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 19 1982 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012Kato, Tosio 17 1982 Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027Kato, Tosio 13 1981 The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064Kato, Tosio 4 1981 On a theorem of Ismagilov. Zbl 0487.47022Howland, James S.; Kato, Tosio 3 1981 An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026Kato, Tosio; Satake, Ichirô 3 1981 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001Kato, Tosio 871 1980 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 124 1980 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053Kato, Tosio 84 1980 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080Jensen, Arne; Kato, Tosio 219 1979 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025Brézis, Haïm; Kato, Tosio 183 1979 On the Korteweg-de Vries equation. Zbl 0415.35070Kato, Tosio 112 1979 High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036Hersh, Reuben; Kato, Tosio 26 1979 Spectral order and a matrix limit theorem. Zbl 0424.47018Kato, Tosio 18 1979 On the Cook-Kuroda criterion in scattering theory. Zbl 0434.47016Kato, Tosio 9 1979 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067Jensen, Arne; Kato, Tosio 31 1978 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018Kato, Tosio 30 1978 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031Kato, T.; Masuda, K. 28 1978 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023Kato, Tosio 18 1978 Monotonicity theorems in scattering theory. Zbl 0426.47004Kato, Tosio 12 1978 On some Schrödinger operators with a singular complex potential. Zbl 0376.47021Kato, Tosio 12 1978 Trotter’s product formula for some nonlinear semigroups. Zbl 0471.47040Kato, Tosio 1 1978 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 142 1977 Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052Kato, T. 13 1977 Two-space scattering theory, with applications to many-body problems. Zbl 0395.47007Kato, Tosio 7 1977 Stationary theory of scattering. Zbl 0373.47006Kato, T. 4 1977 Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009Kato, Tosio 1,126 1976 Boundedness of some pseudodifferential operators. Zbl 0342.47029Kato, Tosio 14 1976 Singular perturbation and semigroup theory. Zbl 0353.47018Kato, Tosio 4 1976 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056Kato, Tosio 305 1975 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077Kato, Tosio 155 1975 On a matrix limit theorem. Zbl 0332.47001Kato, Tosio 3 1975 On a coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003Kato, Tosio 3 1975 On the Trotter-Lie product formula. Zbl 0336.47018Kato, Tosio 18 1974 A second look at the essential self-adjointness of the Schrödinger operators. Zbl 0328.47023Kato, Tosio 11 1974 Wave operators and similarity for some non-selfadjoint operators. Zbl 0285.47013Kato, Tosio 2 1974 Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048Kato, T. 130 1973 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006Kato, Tosio 41 1973 Scattering with long range potentials. Zbl 0263.47008Alsholm, P.; Kato, Tosio 15 1973 A remark to the preceding paper by Chernoff. Zbl 0266.35019Kato, Tosio 9 1973 Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018Kato, Tosio 240 1972 Perturbation theory for linear operators. Translated from the English by G. A. Voropaeva, A. M. Stëpin und I. A. Shishmarëv. Edited by V. P. Maslov. Zbl 0247.47009Kato, Tosio 72 1972 Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070Kato, Tosio 16 1972 Local boundedness of monotone-type operators. Zbl 0252.47057Fitzpatrick, P. M.; Hess, P.; Kato, Tosio 13 1972 The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064Kato, Tosio; McLeod, J. B. 139 1971 The abstract theory of scattering. Zbl 0241.47005Kato, Tosio; Kuroda, S. T. 54 1971 On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021Kato, Tosio 25 1971 Scattering theory and perturbation of continuous spectra. Zbl 0244.47003Kato, Tosio 3 1971 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011Kato, Tosio 181 1970 Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069Kato, Tosio 47 1970 Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004Kato, Tosio; Kuroda, S. T. 31 1970 A characterization of holomorphic semigroups. Zbl 0199.45604Kato, Tosio 19 1970 Perturbation of closed operators and their adjoints. Zbl 0263.47015Hess, Peter; Kato, Tosio 15 1970 Some results on potential scattering. Zbl 0207.45303Kato, Tosio 10 1970 Note on the differentiability of nonlinear semigroups. Zbl 0218.47034Kato, Tosio 5 1970 Approximation theorems for evolution equations. Zbl 0185.23001Kato, Tosio 1 1969 Smooth operators and commutators. Zbl 0215.48802Kato, Tosio 46 1968 Nonlinear semigroups and evolution equations. Zbl 0163.38303Kato, Tosio 406 1967 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302Kato, Tosio 160 1967 Scattering theory with two Hilbert spaces. Zbl 0171.12303Kato, T. 50 1967 Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504Kato, Tosio 23 1967 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,787 Authors 59 Simon, Barry 52 Gesztesy, Fritz 46 Ozawa, Tohru 44 Fan, Jishan 42 Jeribi, Aref 41 Kato, Tosio 40 Nazarov, Sergeĭ Aleksandrovich 39 Zhou, Yong 38 Guo, Boling 38 Ponce, Gustavo 35 Chae, Dongho 35 Wang, Shu 32 Chidume, Charles Ejike 32 Lasiecka, Irena 32 Yin, Zhaoyang 31 Goldstein, Jerome Arthur 30 Triggiani, Roberto 29 Malamud, Mark M. 28 Albeverio, Sergio A. 28 Zhang, Zhifei 27 Liu, Qiao 26 Krejčiřík, David 26 Neidhardt, Hagen 26 Vega, Luis 26 Wu, Jiahong 26 Znojil, Miloslav 25 Davies, Edward Brian 25 Kozono, Hideo 25 Ye, Zhuan 24 Exner, Pavel 24 Lotoreichik, Vladimir 24 Ogawa, Takayoshi 24 Schechter, Martin 24 Zhao, Jihong 23 Faierman, Melvin 23 Ferreira, Lucas Catão de Freitas 23 Tretter, Christiane 23 Xu, Jiang 23 Zagrebnov, Valentin A. 23 Zhang, Ping 22 Behrndt, Jussi 22 Constantin, Peter 22 Dong, Boqing 22 Jensen, Arne 22 Kenig, Carlos Eduardo 22 Xin, Zhouping 22 Yamazaki, Kazuo 20 Curtain, Ruth Frances 20 Herbst, Ira W. 20 Linares, Felipe 20 López-Gómez, Julián 20 Mitrea, Marius 20 Webb, Glenn Francis 19 Bona, Jerry Lloyd 19 Evans, William Desmond 19 Feireisl, Eduard 19 Gala, Sadek 19 Hayashi, Nakao 19 Naboko, Serguei N. 19 Pu, Xueke 19 Rodman, Leiba X. 18 Bardos, Claude Williams 18 Da Prato, Giuseppe 18 Gallagher, Isabelle 18 Himonas, A. Alexandrou 18 Howland, James S. 18 Kukavica, Igor 18 Marsden, Jerrold Eldon 18 Nambu, Takao 18 Pelinovsky, Dmitry Efimovich 18 Robinson, Derek W. 18 Shkalikov, Andreĭ Andreevich 17 Beirão da Veiga, Hugo 17 Chemin, Jean-Yves 17 Cui, Shangbin 17 Giga, Yoshikazu 17 Greenlee, Wilfred M. 17 Joye, Alain 17 Milatovic, Ognjen 17 Nakamura, Gen 17 Peng, Yuejun 17 Sohr, Hermann 17 Sukochev, Fedor Anatol’evich 17 Weder, Ricardo A. 17 Zhang, Ting 17 Zhu, Mingxuan 16 Briet, Philippe 16 Chen, Zhimin 16 Dancer, Edward Norman 16 Danchin, Raphaël 16 Farwig, Reinhard 16 Favini, Angelo 16 Kartsatos, Athanassios G. 16 Lai, Shaoyong 16 Liu, Yue 16 Merle, Frank 16 Ramm, Alexander G. 16 Suslina, Tat’yana Aleksandrovna 16 ter Elst, Antonius Frederik Maria 16 Titi, Edriss Saleh ...and 10,687 more Authors all top 5 Cited in 652 Serials 839 Journal of Mathematical Analysis and Applications 682 Journal of Differential Equations 554 Journal of Functional Analysis 497 Communications in Mathematical Physics 331 Journal of Mathematical Physics 305 Nonlinear Analysis. 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Mathematical Models & Methods in Applied Sciences 45 Complex Analysis and Operator Theory 44 Numerical Functional Analysis and Optimization 43 Linear and Multilinear Algebra 42 International Journal of Control 42 NoDEA. Nonlinear Differential Equations and Applications 41 Automatica 41 Differential Equations 41 Proceedings of the Japan Academy 40 Journal of Computational Physics 40 St. Petersburg Mathematical Journal 39 Reviews in Mathematical Physics 39 Applied Mathematics and Optimization 38 Discrete and Continuous Dynamical Systems. Series B 37 Journal of Optimization Theory and Applications 37 Comptes Rendus. Mathématique. Académie des Sciences, Paris 35 Rendiconti del Seminario Matematico della Università di Padova 34 Rocky Mountain Journal of Mathematics 34 Annales de l’Institut Fourier 34 Tohoku Mathematical Journal. Second Series 33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 33 Inventiones Mathematicae 33 Monatshefte für Mathematik 33 Science China. Mathematics 32 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 32 Journal of Nonlinear Science 30 Archiv der Mathematik 30 Semigroup Forum 30 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 29 Physics Letters. A 29 Journal of the American Mathematical Society 29 Boundary Value Problems 28 Journal of Approximation Theory 28 Quarterly of Applied Mathematics 28 Applied Numerical Mathematics 28 Communications in Contemporary Mathematics ...and 552 more Serials all top 5 Cited in 62 Fields 6,732 Partial differential equations (35-XX) 3,909 Operator theory (47-XX) 2,165 Fluid mechanics (76-XX) 1,385 Quantum theory (81-XX) 1,291 Ordinary differential equations (34-XX) 842 Numerical analysis (65-XX) 833 Functional analysis (46-XX) 596 Probability theory and stochastic processes (60-XX) 566 Global analysis, analysis on manifolds (58-XX) 548 Statistical mechanics, structure of matter (82-XX) 526 Dynamical systems and ergodic theory (37-XX) 479 Systems theory; control (93-XX) 429 Linear and multilinear algebra; matrix theory (15-XX) 334 Mechanics of deformable solids (74-XX) 321 Biology and other natural sciences (92-XX) 315 Harmonic analysis on Euclidean spaces (42-XX) 274 Calculus of variations and optimal control; optimization (49-XX) 258 Integral equations (45-XX) 220 Differential geometry (53-XX) 200 Optics, electromagnetic theory (78-XX) 132 Statistics (62-XX) 122 Real functions (26-XX) 112 Functions of a complex variable (30-XX) 105 Mechanics of particles and systems (70-XX) 103 Geophysics (86-XX) 102 Difference and functional equations (39-XX) 89 Approximations and expansions (41-XX) 88 Relativity and gravitational theory (83-XX) 81 Potential theory (31-XX) 65 Measure and integration (28-XX) 64 Operations research, mathematical programming (90-XX) 60 Topological groups, Lie groups (22-XX) 59 Several complex variables and analytic spaces (32-XX) 58 Combinatorics (05-XX) 55 Special functions (33-XX) 53 Classical thermodynamics, heat transfer (80-XX) 43 Abstract harmonic analysis (43-XX) 40 Number theory (11-XX) 38 Manifolds and cell complexes (57-XX) 37 Computer science (68-XX) 37 Astronomy and astrophysics (85-XX) 35 Integral transforms, operational calculus (44-XX) 35 Information and communication theory, circuits (94-XX) 28 Algebraic geometry (14-XX) 26 General topology (54-XX) 26 Algebraic topology (55-XX) 19 Associative rings and algebras (16-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Group theory and generalizations (20-XX) 14 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 10 General and overarching topics; collections (00-XX) 10 Nonassociative rings and algebras (17-XX) 10 Sequences, series, summability (40-XX) 9 \(K\)-theory (19-XX) 8 Geometry (51-XX) 7 Field theory and polynomials (12-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Convex and discrete geometry (52-XX) 5 Category theory; homological algebra (18-XX) 3 Commutative algebra (13-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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