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 1,409 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 17,244 times in 14,489 Documents Cited by ▼ Year ▼ Perturbation theory for linear operators. Zbl 0148.12601Kato, Tosio 3,419 1966 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009Kato, Tosio 1,711 1995 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066Kato, Tosio; Ponce, Gustavo 945 1988 Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009Kato, Tosio 911 1976 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001Kato, Tosio 679 1980 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073Kato, Tosio 662 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029Beale, J. T.; Kato, T.; Majda, A. 652 1984 On the Navier-Stokes initial value problem. I. Zbl 0126.42301Fujita, H.; Kato, Tosio 623 1964 Nonlinear semigroups and evolution equations. Zbl 0163.38303Kato, Tosio 443 1967 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056Kato, Tosio 397 1975 Wave operators and similarity for some non-selfadjoint operators. Zbl 0139.31203Kato, T. 290 1966 Nonstationary flows of viscous and ideal fluids in \(R^3\). Zbl 0229.76018Kato, Tosio 285 1972 Perturbation theory for nullity, deficiency and other quantities of linear operators. Zbl 0090.09003Kato, Tosio 276 1958 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080Jensen, Arne; Kato, Tosio 263 1979 On nonlinear Schrödinger equations. Zbl 0632.35038Kato, Tosio 232 1987 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025Brézis, Haïm; Kato, Tosio 229 1979 Growth properties of solutions of the reduced wave equation with a variable coefficient. Zbl 0091.09502Kato, Tosio 194 1959 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011Kato, Tosio 194 1970 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014Kato, Tosio 189 1984 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302Kato, Tosio 172 1967 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. 159 1977 The functional-differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0236.34064Kato, Tosio; McLeod, J. B. 157 1971 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 147 1980 On the nonstationary Navier-Stokes systems. Zbl 0114.05002Kato, Tosio; Fujita, H. 145 1962 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124Kato, Tosio 142 1995 Linear evolution equations of ”hyperbolic” type. II. Zbl 0262.34048Kato, T. 142 1973 Fractional powers of dissipative operators. Zbl 0113.10005Kato, Tosio 136 1961 A short introduction to perturbation theory for linear operators. Zbl 0493.47008Kato, Tosio 134 1982 On the Korteweg-de Vries equation. Zbl 0415.35070Kato, Tosio 129 1979 Integration of the equation of evolution in a Banach space. Zbl 0052.12601Kato, Tosio 123 1953 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077Kato, Tosio 118 1975 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052Kato, Tosio 116 1992 On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001Kato, Tosio 112 1983 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053Kato, Tosio 110 1980 On the eigenfunctions of many-particle systems in quantum mechanics. Zbl 0077.20904Kato, Tosio 106 1957 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005Kato, Tosio; Yajima, Kenji 97 1989 Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801Ikebe, Teruo; Kato, Tosio 88 1962 Nonlinear evolution equations and analyticity. I. Zbl 0622.35066Kato, Tosio; Masuda, Kyûya 86 1986 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007Kato, Tosio; Lai, Chi Yuen 86 1984 Notes on some inequalities for linear operators. Zbl 0048.35301Kato, Tosio 71 1952 Fundamental properties of hamiltonian operators of Schrödinger type. Zbl 0044.42701Kato, Tosio 70 1951 On the abstract evolution equation. Zbl 0106.09302Kato, Tosio; Tanabe, Hiroki 70 1962 The abstract theory of scattering. Zbl 0241.47005Kato, Tosio; Kuroda, S. T. 63 1971 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 63 1972 Scattering theory with two Hilbert spaces. Zbl 0171.12303Kato, T. 55 1967 Perturbation of continuous spectra by trace class operators. Zbl 0090.33101Kato, Tosio 53 1957 Abstract evolution equations of parabolic type in Banach and Hilbert spaces. Zbl 0114.06102Kato, T. 51 1961 Smooth operators and commutators. Zbl 0215.48802Kato, Tosio 51 1968 Note on fractional powers of linear operators. Zbl 0097.31802Kato, Tosio 48 1960 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006Kato, Tosio 47 1973 Remarks on pseudoresolvents and infinitesimal generators of semi-groups. Zbl 0095.10502Kato, Tosio 46 1959 Fractional powers of dissipative operators. II. Zbl 0108.11203Kato, Tosio 44 1962 A generalization of the Heinz inequality. Zbl 0104.09304Kato, Tosio 42 1961 The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094Kato, Tosio 41 1994 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131Kato, Tosio 37 1994 Estimation of iterated matrices, with application to the von Neumann condition. Zbl 0119.32001Kato, Tosio 36 1960 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 35 1987 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067Kato, Tosio 35 1984 On linear differential equations in Banach spaces. Zbl 0070.34602Kato, Tosio 35 1956 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031Kato, T.; Masuda, K. 34 1978 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067Jensen, Arne; Kato, Tosio 34 1978 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018Kato, Tosio 34 1978 Theory of simple scattering and eigenfunction expansions. Zbl 0224.47004Kato, Tosio; Kuroda, S. T. 32 1970 On the semi-group generated by Kolmogoroff’s differential equations. Zbl 0058.10701Kato, Tosio 31 1954 On finite-dimensional perturbations of self-adjoint operators. Zbl 0089.32402Kato, Tosio 30 1957 High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036Hersh, Reuben; Kato, Tosio 28 1979 On an inequality of Hardy, Littlewood, and Pólya. Zbl 0224.47021Kato, Tosio 27 1971 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 26 2000 Wave operators and unitary equivalence. Zbl 0125.34902Kato, Tosio 26 1965 Accretive operators and nonlinear evolution equations in Banach spaces. Zbl 0232.47069Kato, Tosio 26 1970 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012Kato, Tosio 25 1982 Variation of discrete spectra. Zbl 0632.47002Kato, Tosio 24 1987 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023Kato, Tosio 24 1978 Perturbation theory of semi-bounded operators. Zbl 0050.34502Kato, Tosio 24 1953 Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P. 24 1982 Nonlinear Schrödinger equations. Zbl 0698.35131Kato, Tosio 23 1989 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107Kato, Tosio 23 1990 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065Kato, Tosio 23 1993 Demicontinuity, hemicontinuity and monotonicity. II. Zbl 0184.36504Kato, Tosio 23 1967 Holomorphic families of Dirac operators. Zbl 0515.47006Kato, Tosio 22 1983 On the Trotter-Lie product formula. Zbl 0336.47018Kato, Tosio 22 1974 Some mapping theorems for the numerical range. Zbl 0143.36702Kato, Tosio 22 1965 Demicontinuity, hemicontinuity and monotonicity. Zbl 0123.10701Kato, Tosio 21 1964 On subordinated holomorphic semigroups. Zbl 0743.47017Carasso, Alfred S.; Kato, Tosio 20 1991 Boundedness of some pseudodifferential operators. Zbl 0342.47029Kato, Tosio 20 1976 On some approximate methods concerning the operators \(T^*T\). Zbl 0051.09203Kato, Tosio 20 1953 A generalization of dissipativity and positive semigroups. Zbl 0494.47026Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 20 1982 Variational methods in collision problems. Zbl 0039.42502Kato, Tosio 18 1950 Spectral order and a matrix limit theorem. Zbl 0424.47018Kato, Tosio 18 1979 Perturbation of closed operators and their adjoints. Zbl 0263.47015Hess, Peter; Kato, Tosio 18 1970 A characterization of holomorphic semigroups. Zbl 0199.45604Kato, Tosio 18 1970 On some Schrödinger operators with a singular complex potential. Zbl 0376.47021Kato, Tosio 17 1978 On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011Kato, Tosio; Ponce, Gustavo 16 1987 Asymptotic behavior of solutions of the functional differential equation \(y'(x)=ay(\lambda x) + by(x)\). Zbl 0278.34070Kato, Tosio 16 1972 Scattering with long range potentials. Zbl 0263.47008Alsholm, P.; Kato, Tosio 16 1973 On the analyticity of solution of evolution equations. Zbl 0154.16403Kato, Tosio; Tanabe, H. 14 1967 Nonlinear evolution equations in Banach spaces. Zbl 0173.17104Kato, T. 14 1965 Abstract differential equations and nonlinear mixed problems. (Based on the Fermi Lectures held May 1985 at Scuola Normale Superiore, Pisa). Zbl 0648.35001Kato, T. 13 1988 Monotonicity theorems in scattering theory. Zbl 0426.47004Kato, Tosio 13 1978 Linear and quasi-linear equations of evolution of hyperbolic type. Zbl 0456.35052Kato, T. 13 1977 Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael 26 2000 On the smoothness of trajectories in incompressible perfect fluids. Zbl 0972.35102Kato, Tosio 8 2000 Perturbation theory for linear operators. Reprint of the corr. print. of the 2nd ed. 1980. Zbl 0836.47009Kato, Tosio 1,711 1995 On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness. Zbl 0848.35124Kato, Tosio 142 1995 The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. Zbl 0826.35094Kato, Tosio 41 1994 An \(L^{q,r}\)-theory for nonlinear Schrödinger equations. Zbl 0832.35131Kato, Tosio 37 1994 The Navier-Stokes equation with weak initial data. Zbl 0837.35116Kato, Tosio; Ponce, Gustavo 12 1994 Abstract evolution equations, linear and quasilinear, revisited. Zbl 0818.47065Kato, Tosio 23 1993 Strong solutions of the Navier-Stokes equation in Morrey spaces. Zbl 0781.35052Kato, Tosio 116 1992 On subordinated holomorphic semigroups. Zbl 0743.47017Carasso, Alfred S.; Kato, Tosio 20 1991 Positive commutators \(i[f(P),g(Q)]\). Zbl 0751.47020Kato, Tosio 2 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 Liapunov functions and monotonicity in the Navier-Stokes equation. Zbl 0727.35107Kato, Tosio 23 1990 Some expamples of smooth operators and the associated smoothing effect. Zbl 0833.47005Kato, Tosio; Yajima, Kenji 97 1989 Nonlinear Schrödinger equations. Zbl 0698.35131Kato, Tosio 23 1989 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066Kato, Tosio; Ponce, Gustavo 945 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. 13 1988 On nonlinear Schrödinger equations. Zbl 0632.35038Kato, Tosio 232 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 35 1987 Variation of discrete spectra. Zbl 0632.47002Kato, Tosio 24 1987 On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011Kato, Tosio; Ponce, Gustavo 16 1987 Nonlinear evolution equations and analyticity. I. Zbl 0622.35066Kato, Tosio; Masuda, Kyûya 86 1986 Remarks on the Euler and Navier-Stokes equations in \(R^ 2\). Zbl 0598.35093Kato, Tosio 10 1986 \(L^ p\)-theory of Schrödinger operators with a singular potential. Zbl 0627.47025Kato, Tosio 5 1986 Nonlinear equations of evolution in Banach spaces. Zbl 0606.35049Kato, Tosio 3 1986 Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions. Zbl 0545.35073Kato, Tosio 662 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029Beale, J. T.; Kato, T.; Majda, A. 652 1984 Perturbation theory for linear operators. 2nd corr. print. of the 2nd ed. Zbl 0531.47014Kato, Tosio 189 1984 Nonlinear evolution equations and the Euler flow. Zbl 0545.76007Kato, Tosio; Lai, Chi Yuen 86 1984 Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Zbl 0559.35067Kato, Tosio 35 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 7 1984 Remarks on holomorphic families of Schrödinger and Dirac operators. Zbl 0565.47011Kato, Tosio 4 1984 On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Zbl 0549.34001Kato, Tosio 112 1983 Holomorphic families of Dirac operators. Zbl 0515.47006Kato, Tosio 22 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 134 1982 Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Zbl 0471.46012Kato, Tosio 25 1982 Eigenvalue inequalities for products of matrix exponentials. Zbl 0489.15007Cohen, Joel E.; Friedland, Shmuel; Kato, Tosio; Kelly, Frank P. 24 1982 A generalization of dissipativity and positive semigroups. Zbl 0494.47026Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 20 1982 Remarks on the selfadjointness and related problems for differential operators. Zbl 0484.35027Kato, Tosio 12 1981 The Cauchy problem for the Korteweg-de Vries equation. Zbl 0542.35064Kato, Tosio 4 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 Perturbation theory for linear operators. Corr. printing of the 2nd ed. Zbl 0435.47001Kato, Tosio 679 1980 On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075Hess, Peter; Kato, Tosio 147 1980 Blow-up of solutions of some nonlinear hyperbolic equations. Zbl 0421.35053Kato, Tosio 110 1980 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080Jensen, Arne; Kato, Tosio 263 1979 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025Brézis, Haïm; Kato, Tosio 229 1979 On the Korteweg-de Vries equation. Zbl 0415.35070Kato, Tosio 129 1979 High-accuracy stable difference schemes for well-posed initial-value problems. Zbl 0419.65036Hersh, Reuben; Kato, Tosio 28 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 7 1979 Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals. Zbl 0364.47031Kato, T.; Masuda, K. 34 1978 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067Jensen, Arne; Kato, Tosio 34 1978 Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups. Zbl 0461.47018Kato, Tosio 34 1978 Remarks on Schrödinger operators with vector potentials. Zbl 0395.47023Kato, Tosio 24 1978 On some Schrödinger operators with a singular complex potential. Zbl 0376.47021Kato, Tosio 17 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. 159 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. 1 1977 Perturbation theory for linear operators. 2nd ed. Zbl 0342.47009Kato, Tosio 911 1976 Boundedness of some pseudodifferential operators. Zbl 0342.47029Kato, Tosio 20 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 397 1975 Quasi-linear equations of evolution, with applications to partial differential equations. Zbl 0315.35077Kato, Tosio 118 1975 On a coerciveness theorem by Schulenberger and Wilcox. Zbl 0313.47003Kato, Tosio 5 1975 On a matrix limit theorem. Zbl 0332.47001Kato, Tosio 2 1975 On the Trotter-Lie product formula. Zbl 0336.47018Kato, Tosio 22 1974 A second look at the essential self-adjointness of the Schrödinger operators. Zbl 0328.47023Kato, Tosio 10 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. 142 1973 Continuity of the map \(S \to |S|\) for linear operators. Zbl 0301.47006Kato, Tosio 47 1973 Scattering with long range potentials. Zbl 0263.47008Alsholm, P.; Kato, Tosio 16 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 285 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 63 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. 157 1971 The abstract theory of scattering. Zbl 0241.47005Kato, Tosio; Kuroda, S. T. 63 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 4 1971 Linear evolution equations of ”hyperbolic” type. Zbl 0222.47011Kato, Tosio 194 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 26 1970 Perturbation of closed operators and their adjoints. Zbl 0263.47015Hess, Peter; Kato, Tosio 18 1970 A characterization of holomorphic semigroups. Zbl 0199.45604Kato, Tosio 18 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 51 1968 Nonlinear semigroups and evolution equations. Zbl 0163.38303Kato, Tosio 443 1967 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302Kato, Tosio 172 1967 Scattering theory with two Hilbert spaces. Zbl 0171.12303Kato, T. 55 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 11,681 Authors 57 Simon, Barry 56 Fan, Jishan 50 Jeribi, Aref 49 Ozawa, Tohru 48 Gesztesy, Fritz 44 Nazarov, Sergeĭ Aleksandrovich 43 Chae, Dongho 41 Guo, Boling 40 Kato, Tosio 40 Wang, Shu 37 Krejčiřík, David 34 Ponce, Gustavo 33 Ogawa, Takayoshi 32 Chidume, Charles Ejike 32 Yin, Zhaoyang 31 Zhang, Zhifei 30 Lotoreichik, Vladimir 30 Znojil, Miloslav 29 Wu, Jiahong 29 Zhou, Yong 28 Goldstein, Jerome Arthur 28 Lasiecka, Irena 28 Liu, Qiao 28 Malamud, Mark M. 27 Kozono, Hideo 27 Tretter, Christiane 26 Ferreira, Lucas Catão de Freitas 26 Gala, Sadek 26 Zhang, Ping 25 Dong, Boqing 25 Exner, Pavel 25 Faierman, Melvin 25 Vega, Luis 25 Xu, Jiang 25 Yamazaki, Kazuo 25 Zagrebnov, Valentin A. 25 Zhang, Ting 24 Hayashi, Nakao 24 Jensen, Arne 24 López-Gómez, Julián 24 Triggiani, Roberto 24 Zhao, Jihong 23 Constantin, Peter 23 Davies, Edward Brian 23 Neidhardt, Hagen 23 Peng, Yuejun 23 Schechter, Martin 23 Sukochev, Fedor Anatol’evich 23 Xin, Zhouping 23 Yuan, Baoquan 22 Albeverio, Sergio A. 22 Behrndt, Jussi 21 Danchin, Raphaël 21 Himonas, A. Alexandrou 21 Kopylova, Elena A. 21 Suslina, Tat’yana Aleksandrovna 21 Weder, Ricardo A. 20 Borisov, Denis Ivanovich 20 Feireisl, Eduard 20 Herbst, Ira W. 20 Kenig, Carlos Eduardo 20 Kukavica, Igor 20 Nakamura, Gen 20 Pu, Xueke 20 Robinson, Derek William 20 Ye, Zhuan 19 Bardos, Claude Williams 19 Chemin, Jean-Yves 19 Evans, William Desmond 19 Farwig, Reinhard 19 Favini, Angelo 19 Gallagher, Isabelle 19 Giga, Yoshikazu 19 Lai, Shaoyong 19 Liu, Yue 19 Webb, Glenn Francis 19 Yajima, Kenji 19 Zhao, Xiaopeng 18 Beirão da Veiga, Hugo 18 Cornean, Horia D. 18 Howland, James S. 18 Li, Fucai 18 Mitrea, Marius 18 Naboko, Serguei N. 18 Nambu, Takao 18 Paicu, Marius 18 Pelinovsky, Dmitry Efimovich 18 Shkalikov, Andreĭ Andreevich 18 Skubachevskiĭ, Aleksandr Leonidovich 18 Soffer, Avraham 18 Titi, Edriss Saleh 18 Zhu, Mingxuan 17 Ammar, Aymen 17 Arlins’kyĭ, Yuriĭ Moĭseĭovych 17 Cholewa, Jan W. 17 Cui, Shangbin 17 Greenlee, Wilfred M. 17 Hmidi, Taoufik 17 Hoshino, Gaku 17 Joye, Alain ...and 11,581 more Authors all top 5 Cited in 751 Serials 766 Journal of Mathematical Analysis and Applications 674 Journal of Differential Equations 550 Communications in Mathematical Physics 479 Journal of Functional Analysis 367 Journal of Mathematical Physics 319 Archive for Rational Mechanics and Analysis 280 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 248 Proceedings of the American Mathematical Society 239 Transactions of the American Mathematical Society 204 Integral Equations and Operator Theory 196 Communications in Partial Differential Equations 184 Linear Algebra and its Applications 176 Mathematische Annalen 169 Mathematische Zeitschrift 155 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 140 Journal of Evolution Equations 131 Nonlinear Analysis. Theory, Methods & Applications 127 ZAMP. Zeitschrift für angewandte Mathematik und Physik 124 SIAM Journal on Mathematical Analysis 124 Journal of Mathematical Sciences (New York) 121 Mathematical Methods in the Applied Sciences 118 Journal of Mathematical Fluid Mechanics 114 Applicable Analysis 111 Advances in Mathematics 111 Discrete and Continuous Dynamical Systems 107 Mathematical Notes 103 Annales Henri Poincaré 102 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 99 Journal of Statistical Physics 91 Physica D 91 Nonlinear Analysis. Real World Applications 87 Numerische Mathematik 86 Mathematische Nachrichten 83 Letters in Mathematical Physics 83 Journal de Mathématiques Pures et Appliquées. Neuvième Série 81 Applied Mathematics Letters 79 Mathematics of Computation 78 Communications on Pure and Applied Analysis 76 Publications of the Research Institute for Mathematical Sciences, Kyoto University 75 Annali di Matematica Pura ed Applicata. Serie Quarta 73 Duke Mathematical Journal 73 Annales de l’Institut Henri Poincaré. Physique Théorique 69 Computers & Mathematics with Applications 69 Israel Journal of Mathematics 69 Journal of Dynamics and Differential Equations 68 Siberian Mathematical Journal 67 Ukrainian Mathematical Journal 67 Applied Mathematics and Computation 66 Journal d’Analyse Mathématique 63 Complex Analysis and Operator Theory 61 Functional Analysis and its Applications 60 Acta Applicandae Mathematicae 59 Calculus of Variations and Partial Differential Equations 56 Acta Mathematica Sinica. English Series 55 Bulletin of the American Mathematical Society 54 Journal of Soviet Mathematics 54 NoDEA. Nonlinear Differential Equations and Applications 53 Linear and Multilinear Algebra 53 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 52 Proceedings of the Japan Academy. Series A 52 Journal of Nonlinear Science 52 Discrete and Continuous Dynamical Systems. Series B 51 Reviews in Mathematical Physics 51 Manuscripta Mathematica 50 Differential Equations 48 Journal of Computational and Applied Mathematics 48 Abstract and Applied Analysis 47 Nonlinearity 47 Theoretical and Mathematical Physics 47 Transport Theory and Statistical Physics 47 Applied Mathematics and Optimization 47 St. Petersburg Mathematical Journal 46 Reports on Mathematical Physics 46 Numerical Functional Analysis and Optimization 44 International Journal of Control 43 Journal of Spectral Theory 41 The Journal of Geometric Analysis 41 Proceedings of the Japan Academy 41 Science China. Mathematics 40 Monatshefte für Mathematik 40 Boundary Value Problems 39 Rocky Mountain Journal of Mathematics 39 Inventiones Mathematicae 38 Journal of Optimization Theory and Applications 38 Systems & Control Letters 37 Annales de l’Institut Fourier 36 Semigroup Forum 36 Tôhoku Mathematical Journal. Second Series 36 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Discrete and Continuous Dynamical Systems. Series S 35 Rendiconti del Seminario Matematico della Università di Padova 35 Communications in Contemporary Mathematics 35 Comptes Rendus. Mathématique. Académie des Sciences, Paris 34 Journal of Mathematical Biology 34 Archiv der Mathematik 34 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 33 Lobachevskii Journal of Mathematics 32 Journal of Computational Physics 32 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique ...and 651 more Serials all top 5 Cited in 62 Fields 7,926 Partial differential equations (35-XX) 4,165 Operator theory (47-XX) 2,676 Fluid mechanics (76-XX) 1,542 Quantum theory (81-XX) 1,316 Ordinary differential equations (34-XX) 931 Numerical analysis (65-XX) 880 Functional analysis (46-XX) 667 Probability theory and stochastic processes (60-XX) 619 Global analysis, analysis on manifolds (58-XX) 616 Dynamical systems and ergodic theory (37-XX) 602 Statistical mechanics, structure of matter (82-XX) 472 Systems theory; control (93-XX) 432 Linear and multilinear algebra; matrix theory (15-XX) 416 Harmonic analysis on Euclidean spaces (42-XX) 376 Mechanics of deformable solids (74-XX) 366 Biology and other natural sciences (92-XX) 297 Calculus of variations and optimal control; optimization (49-XX) 287 Integral equations (45-XX) 253 Optics, electromagnetic theory (78-XX) 250 Differential geometry (53-XX) 176 Real functions (26-XX) 136 Geophysics (86-XX) 132 Functions of a complex variable (30-XX) 130 Statistics (62-XX) 115 Difference and functional equations (39-XX) 112 Relativity and gravitational theory (83-XX) 111 Mechanics of particles and systems (70-XX) 96 Approximations and expansions (41-XX) 87 Potential theory (31-XX) 77 Measure and integration (28-XX) 76 Operations research, mathematical programming (90-XX) 75 Combinatorics (05-XX) 70 Several complex variables and analytic spaces (32-XX) 69 Classical thermodynamics, heat transfer (80-XX) 68 Topological groups, Lie groups (22-XX) 67 Special functions (33-XX) 56 Number theory (11-XX) 49 Abstract harmonic analysis (43-XX) 46 Computer science (68-XX) 46 Astronomy and astrophysics (85-XX) 41 Manifolds and cell complexes (57-XX) 39 Integral transforms, operational calculus (44-XX) 37 Information and communication theory, circuits (94-XX) 34 Algebraic geometry (14-XX) 33 Algebraic topology (55-XX) 26 General topology (54-XX) 23 Group theory and generalizations (20-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Associative rings and algebras (16-XX) 17 History and biography (01-XX) 16 \(K\)-theory (19-XX) 15 General and overarching topics; collections (00-XX) 14 Mathematical logic and foundations (03-XX) 12 Nonassociative rings and algebras (17-XX) 11 Geometry (51-XX) 10 Convex and discrete geometry (52-XX) 9 Sequences, series, summability (40-XX) 7 Field theory and polynomials (12-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 4 Commutative algebra (13-XX) 4 Category theory; homological algebra (18-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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