Edit Profile (opens in new tab) Kato, Tosio Compute Distance To: Compute 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 all top 5 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 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 Open 146 Publications have been cited 15,525 times in 13,096 Documents Cited by ▼ Year ▼ Perturbation theory for linear operators. Zbl 0148.12601Kato, Tosio 3,239 1966 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009Kato, Tosio 1,371 1995 Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009Kato, Tosio 838 1976 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066Kato, Tosio; Ponce, Gustavo 829 1988 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001Kato, Tosio 623 1980 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073Kato, Tosio 583 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029Beale, J. T.; Kato, T.; Majda, A. 583 1984 On the Navier-Stokes initial value problem. I. Zbl 0126.42301Fujita, H.; Kato, Tosio 556 1964 Nonlinear semigroups and evolution equations. Zbl 0163.38303Kato, Tosio 419 1967 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056Kato, Tosio 351 1975 Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203Kato, T. 268 1966 Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018Kato, Tosio 262 1972 Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003Kato, Tosio 260 1958 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080Jensen, Arne; Kato, Tosio 242 1979 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025Brézis, Haïm; Kato, Tosio 204 1979 On nonlinear Schrödinger equations. Zbl 0632.35038Kato, Tosio 194 1987 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011Kato, Tosio 186 1970 Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502Kato, Tosio 180 1959 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014Kato, Tosio 179 1984 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302Kato, Tosio 160 1967 The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064Kato, Tosio; McLeod, J. B. 146 1971 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. 146 1977 Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048Kato, T. 138 1973 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 135 1980 On the nonstationary Navier-Stokes systems. Zbl 0114.05002Kato, Tosio; Fujita, H. 134 1962 A short introduction to perturbation theory for linear operators. Zbl 0493.47008Kato, Tosio 124 1982 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124Kato, Tosio 124 1995 On the Korteweg-de Vries equation. Zbl 0415.35070Kato, Tosio 119 1979 Integration of the equation of evolution in a Banach space. Zbl 0052.12601Kato, Tosio 118 1953 Fractional powers of dissipative operators. Zbl 0113.10005Kato, Tosio 115 1961 On the eigenfunctions of many-particle systems in quantum mechanics. Zbl 0077.20904Kato, Tosio 95 1957 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052Kato, Tosio 94 1992 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053Kato, Tosio 90 1980 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005Kato, Tosio; Yajima, Kenji 87 1989 Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801Ikebe, Teruo; Kato, Tosio 85 1962 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007Kato, Tosio; Lai, Chi Yuen 77 1984 On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001Kato, Tosio 77 1983 Nonlinear evolution equations and analyticity. I. Zbl 0622.35066Kato, Tosio; Masuda, Kyûya 76 1986 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077Kato, Tosio 73 1975 On the abstract evolution equation. Zbl 0106.09302Kato, Tosio; Tanabe, Hiroki 66 1962 Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701Kato, Tosio 65 1951 Perturbation theory for linear operators. Translated from the English by G. A. Voropaeva, A. M. Stëpin und I. A. Shishmarëv. Edited by V. P. Maslov. (Теория возмущений линейных операторов.) Zbl 0247.47009Kato, Tosio 62 1972 The abstract theory of scattering. Zbl 0241.47005Kato, Tosio; Kuroda, S. T. 57 1971 Notes on some inequalities for linear operators. Zbl 0048.35301Kato, Tosio 56 1952 Scattering theory with two Hilbert spaces. Zbl 0171.12303Kato, T. 54 1967 Perturbation of continuous spectra by trace class operators. Zbl 0090.33101Kato, Tosio 50 1957 Abstract evolution equations of parabolic type in Banach and Hilbert spaces. Zbl 0114.06102Kato, T. 48 1961 Smooth operators and commutators. Zbl 0215.48802Kato, Tosio 47 1968 Note on fractional powers of linear operators. Zbl 0097.31802Kato, Tosio 43 1960 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006Kato, Tosio 43 1973 Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502Kato, Tosio 42 1959 Fractional powers of dissipative operators. II. Zbl 0108.11203Kato, Tosio 41 1962 A generalization of the Heinz inequality. Zbl 0104.09304Kato, Tosio 40 1961 The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094Kato, Tosio 37 1994 Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001Kato, Tosio 36 1960 Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004Kato, Tosio; Kuroda, S. T. 32 1970 On linear differential equations in Banach spaces. Zbl 0070.34602Kato, Tosio 32 1956 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067Jensen, Arne; Kato, Tosio 32 1978 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031Kato, T.; Masuda, K. 31 1978 Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0615.35078Kato, Tosio; Ponce, Gustavo 30 1987 On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701Kato, Tosio 28 1954 On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402Kato, Tosio 28 1957 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131Kato, Tosio 28 1994 On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021Kato, Tosio 27 1971 Wave operators and unitary equivalence. Zbl 0125.34902Kato, Tosio 26 1965 High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036Hersh, Reuben; Kato, Tosio 26 1979 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018Kato, Tosio 25 1978 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012Kato, Tosio 24 1982 Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069Kato, Tosio 24 1970 Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504Kato, Tosio 23 1967 Perturbation theory of semi-bounded operators. Zbl 0050.34502Kato, Tosio 23 1953 Variation of discrete spectra. Zbl 0632.47002Kato, Tosio 23 1987 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067Kato, Tosio 23 1984 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 22 2000 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023Kato, Tosio 22 1978 Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701Kato, Tosio 21 1964 Some mapping theorems for the numerical range. Zbl 0143.36702Kato, Tosio 21 1965 Holomorphic families of Dirac operators. Zbl 0515.47006Kato, Tosio 20 1983 Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P. 20 1982 On the Trotter-Lie product formula. Zbl 0336.47018Kato, Tosio 20 1974 A generalization of dissipativity and positive semigroups. Zbl 0494.47026Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 19 1982 On subordinated holomorphic semigroups. Zbl 0743.47017Carasso, Alfred S.; Kato, Tosio 19 1991 A characterization of holomorphic semigroups. Zbl 0199.45604Kato, Tosio 19 1970 On some approximate methods concerning the operators \(T^*T\). Zbl 0051.09203Kato, Tosio 19 1953 Nonlinear Schrödinger equations. Zbl 0698.35131Kato, Tosio 18 1989 Spectral order and a matrix limit theorem. Zbl 0424.47018Kato, Tosio 18 1979 Variational methods in collision problems. Zbl 0039.42502Kato, Tosio 17 1950 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065Kato, Tosio 17 1993 Boundedness of some pseudodifferential operators. Zbl 0342.47029Kato, Tosio 17 1976 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107Kato, Tosio 16 1990 Perturbation of closed operators and their adjoints. Zbl 0263.47015Hess, Peter; Kato, Tosio 16 1970 Nonlinear evolution equations in Banach spaces. Zbl 0173.17104Kato, T. 15 1965 On some Schrödinger operators with a singular complex potential. Zbl 0376.47021Kato, Tosio 14 1978 On the analyticity of solution of evolution equations. Zbl 0154.16403Kato, Tosio; Tanabe, H. 14 1967 Scattering with long range potentials. Zbl 0263.47008Alsholm, P.; Kato, Tosio 14 1973 On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011Kato, Tosio; Ponce, Gustavo 13 1987 Monotonicity theorems in scattering theory. Zbl 0426.47004Kato, Tosio 13 1978 Local boundedness of monotone-type operators. Zbl 0252.47057Fitzpatrick, P. M.; Hess, P.; Kato, Tosio 13 1972 On the convergence of the perturbation method. Zbl 0045.21602Kato, Tosio 11 1951 On the perturbation theory of closed linear operators. Zbl 0048.35402Katô, Tosio 11 1952 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 22 2000 On the smoothness of trajectories in incompressible perfect fluids. Zbl 0972.35102Kato, Tosio 7 2000 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009Kato, Tosio 1,371 1995 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124Kato, Tosio 124 1995 The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094Kato, Tosio 37 1994 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131Kato, Tosio 28 1994 The Navier-Stokes equation with weak initial data. Zbl 0837.35116Kato, Tosio; Ponce, Gustavo 11 1994 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065Kato, Tosio 17 1993 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052Kato, Tosio 94 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 Positive commutators \(i[f(P),g(Q)]\). Zbl 0751.47020Kato, Tosio 1 1991 Weak solutions of infinite-dimensional Hamiltonian systems. Zbl 0748.35016Kato, T. 1 1991 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107Kato, Tosio 16 1990 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005Kato, Tosio; Yajima, Kenji 87 1989 Nonlinear Schrödinger equations. Zbl 0698.35131Kato, Tosio 18 1989 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066Kato, Tosio; Ponce, Gustavo 829 1988 Abstract differential equations and nonlinear mixed problems. (Based on the Fermi Lectures held May 1985 at Scuola Normale Superiore, Pisa). Zbl 0648.35001Kato, T. 11 1988 On nonlinear Schrödinger equations. Zbl 0632.35038Kato, Tosio 194 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 30 1987 Variation of discrete spectra. Zbl 0632.47002Kato, Tosio 23 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 76 1986 Remarks on the Euler and Navier-Stokes equations in \(R^ 2\). Zbl 0598.35093Kato, Tosio 6 1986 \(L^ p\)-theory of Schrödinger operators with a singular potential. Zbl 0627.47025Kato, Tosio 4 1986 Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049Kato, Tosio 2 1986 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073Kato, Tosio 583 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029Beale, J. T.; Kato, T.; Majda, A. 583 1984 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014Kato, Tosio 179 1984 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007Kato, Tosio; Lai, Chi Yuen 77 1984 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067Kato, Tosio 23 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 6 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 77 1983 Holomorphic families of Dirac operators. Zbl 0515.47006Kato, Tosio 20 1983 Quasi-linear equations of evolution in nonreflexive Banach spaces. Zbl 0532.35048Kato, Tosio 3 1983 A short introduction to perturbation theory for linear operators. Zbl 0493.47008Kato, Tosio 124 1982 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012Kato, Tosio 24 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 Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027Kato, Tosio 11 1981 An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026Kato, Tosio; Satake, Ichirô 4 1981 On a theorem of Ismagilov. Zbl 0487.47022Howland, James S.; Kato, Tosio 3 1981 The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064Kato, Tosio 1 1981 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001Kato, Tosio 623 1980 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 135 1980 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053Kato, Tosio 90 1980 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080Jensen, Arne; Kato, Tosio 242 1979 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025Brézis, Haïm; Kato, Tosio 204 1979 On the Korteweg-de Vries equation. Zbl 0415.35070Kato, Tosio 119 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 6 1979 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067Jensen, Arne; Kato, Tosio 32 1978 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031Kato, T.; Masuda, K. 31 1978 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018Kato, Tosio 25 1978 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023Kato, Tosio 22 1978 On some Schrödinger operators with a singular complex potential. Zbl 0376.47021Kato, Tosio 14 1978 Monotonicity theorems in scattering theory. Zbl 0426.47004Kato, Tosio 13 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. 146 1977 Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052Kato, T. 10 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. 1 1977 Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009Kato, Tosio 838 1976 Boundedness of some pseudodifferential operators. Zbl 0342.47029Kato, Tosio 17 1976 Singular perturbation and semigroup theory. Zbl 0353.47018Kato, Tosio 3 1976 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056Kato, Tosio 351 1975 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077Kato, Tosio 73 1975 On a coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003Kato, Tosio 3 1975 On a matrix limit theorem. Zbl 0332.47001Kato, Tosio 3 1975 On the Trotter-Lie product formula. Zbl 0336.47018Kato, Tosio 20 1974 A second look at the essential self-adjointness of the Schrödinger operators. Zbl 0328.47023Kato, Tosio 9 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. 138 1973 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006Kato, Tosio 43 1973 Scattering with long range potentials. Zbl 0263.47008Alsholm, P.; Kato, Tosio 14 1973 A remark to the preceding paper by Chernoff. Zbl 0266.35019Kato, Tosio 10 1973 Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018Kato, Tosio 262 1972 Perturbation theory for linear operators. Translated from the English by G. A. Voropaeva, A. M. Stëpin und I. A. Shishmarëv. Edited by V. P. Maslov. (Теория возмущений линейных операторов.) Zbl 0247.47009Kato, Tosio 62 1972 Local boundedness of monotone-type operators. Zbl 0252.47057Fitzpatrick, P. M.; Hess, P.; Kato, Tosio 13 1972 Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070Kato, Tosio 11 1972 The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064Kato, Tosio; McLeod, J. B. 146 1971 The abstract theory of scattering. Zbl 0241.47005Kato, Tosio; Kuroda, S. T. 57 1971 On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021Kato, Tosio 27 1971 Scattering theory and perturbation of continuous spectra. Zbl 0244.47003Kato, Tosio 3 1971 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011Kato, Tosio 186 1970 Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004Kato, Tosio; Kuroda, S. T. 32 1970 Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069Kato, Tosio 24 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 16 1970 Some results on potential scattering. Zbl 0207.45303Kato, Tosio 5 1970 Note on the differentiability of nonlinear semigroups. Zbl 0218.47034Kato, Tosio 4 1970 Approximation theorems for evolution equations. Zbl 0185.23001Kato, Tosio 1 1969 Smooth operators and commutators. Zbl 0215.48802Kato, Tosio 47 1968 Nonlinear semigroups and evolution equations. Zbl 0163.38303Kato, Tosio 419 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. 54 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 10,492 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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