Edit Profile (opens in new tab) Reed, Michael C. Compute Distance To: Compute Author ID: reed.michael-c Published as: Reed, Michael C.; Reed, Michael; Reed, M.; Reed, M. C.; C. Reed, Michael more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 73 Publications since 1969, including 9 Books Co-Authors: 27 Co-Authors with 54 Joint Publications 744 Co-Co-Authors all top 5 Co-Authors 17 single-authored 17 Rauch, Jeffrey B. 10 Simon, Barry 9 Nijhout, H. Frederik 5 Best, Janet A. 4 Blum, Jacob Joseph 4 Lawley, Sean D. 3 Mattingly, Jonathan Christopher 2 Beals, Michael 2 Godara, L. C. 2 Golubitsky, Martin A. 2 Illner, Reinhard 2 Milford, Gregory N. 1 Anderson, David Frederick 1 Berning jun., John A. 1 Bilinsky, Lydia M. 1 Blanchard, Philippe 1 Duncan, William 1 Herman, Richard H. 1 Laurent, Thomas 1 Mckinley, Scott A. 1 Mitchell, Colleen C. 1 Popovic, Lea 1 Rider, Brian C. 1 Rosen, Lon M. 1 Sparks, Rachel 1 Stewart, Ian Nicholas 1 Temamogullari, N. Ezgi 1 Ulrich, Cornelia M. 1 Venakides, Stephanos all top 5 Serials 4 Mathematical Biosciences 4 Journal of Functional Analysis 4 Communications in Partial Differential Equations 4 SIAM Journal on Applied Mathematics 3 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Bulletin of Mathematical Biology 2 Indiana University Mathematics Journal 2 Transactions of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 2 Notices of the American Mathematical Society 2 IEEE Transactions on Antennas and Propagation 2 Journal of Theoretical Biology 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Duke Mathematical Journal 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications in Mathematical Sciences 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics 1 Mathematical Modelling of Natural Phenomena all top 5 Fields 41 Partial differential equations (35-XX) 19 Biology and other natural sciences (92-XX) 14 Operator theory (47-XX) 11 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 5 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 7,553 times in 6,392 Documents Cited by ▼ Year ▼ Methods of modern mathematical physics. IV: Analysis of operators. Zbl 0401.47001Reed, Michael; Simon, Barry 2,331 1978 Methods of modern mathematical physics. II: Fourier analysis, self- adjointness. Zbl 0308.47002Reed, Michael; Simon, Barry 1,959 1975 Methods of modern mathematical physics. I: Functional analysis. Rev. and enl. ed. Zbl 0459.46001Reed, Michael; Simon, Barry 1,004 1980 Methods of modern mathematical physics. 1: Functional analysis. Zbl 0242.46001Reed, Michael; Simon, Barry 937 1972 Methods of modern mathematical physics. III: Scattering theory. Zbl 0405.47007Reed, Michael; Simon, Barry 693 1979 Methods of modern mathematical physics. Vol. 3. Scattering theory. (Metody sovremennoj matematicheskoj fiziki. Tom 3. Teoriya rasseyaniya). Transl. from the English. Zbl 0517.47006Reed, M.; Simon, B. 84 1982 Abstract non linear wave equations. Zbl 0317.35002Reed, Michael 75 1976 Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. Zbl 0503.35055Rauch, Jeffrey; Reed, Michael 46 1982 Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation. Zbl 0468.35064Rauch, Jeffrey; Reed, Michael 29 1981 Stochastic switching in infinite dimensions with applications to random parabolic PDE. Zbl 1338.35515Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C. 26 2015 Singularities produced by the nonlinear interaction of three progressing waves; examples. Zbl 0502.35060Rauch, Jeffrey; Reed, Michael C. 25 1982 Propagation of singularities for semilinear hyperbolic equations in one space variable. Zbl 0432.35055Rauch, Jeffrey; Reed, Michael C. 25 1980 Nonlinear superposition and absorption of delta waves in one space dimension. Zbl 0661.35058Rauch, Jeffrey; Reed, Michael C. 22 1987 Tensor products of closed operators on Banach spaces. Zbl 0256.47032Reed, Michael; Simon, Barry 19 1973 Sensitivity to switching rates in stochastically switched ODEs. Zbl 1329.60295Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C. 18 2014 Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083Beals, Michael; Reed, Michael 16 1982 Support properties of the free measure for boson fields. Zbl 0285.60026Reed, M.; Rosen, L. 16 1974 Striated solutions of semilinear, two speed wave equations. Zbl 0559.35053Rauch, Jeffrey; Reed, Michael 15 1985 The scattering of classical waves from inhomogeneous media. Zbl 0338.35073Reed, Michael; Simon, Barry 15 1977 Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 0704.35087Reed, Michael C.; Venakides, Stephanos; Blum, Jacob Joseph 15 1990 Discontinuous progressing waves for semilinear systems. Zbl 0598.35069Rauch, Jeffrey; Reed, Michael C. 13 1985 The decay of solutions of the Carleman model. Zbl 0563.76073Illner, R.; Reed, M. C. 12 1981 Escape from homeostasis. Zbl 1370.92037Nijhout, H. Frederik; Best, Janet; Reed, Michael C. 12 2014 Why is mathematical biology so hard? Zbl 1168.92303Reed, Michael C. 11 2004 Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093Beals, Michael; Reed, Michael 11 1984 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 11 2017 Methods of modern mathematical physics. Vol. 4. Analysis of operators. (Metody sovremennoj matematicheskoj fiziki. 4. Analiz operatorov). Transl. from the English by A. A. Pogrebkov and V. N. Sushko. Zbl 0521.47001Reed, Michael; Simon, Barry 9 1982 A Garding domain for quantum fields. Zbl 0186.28303Reed, M. C. 9 1969 Neurotransmitter concentrations in the presence of neural switching in one dimension. Zbl 1346.35246Lawley, Sean D.; Best, Janet A.; Reed, Michael C. 9 2016 Higher order estimates and smoothness of nonlinear wave equations. Zbl 0309.35044Reed, Michael C. 7 1975 On self-adjointness in infinite tensor product spaces. Zbl 0186.19302Reed, M. C. 7 1970 Classical conormal solutions of semilinear systems. Zbl 0665.35046Rauch, Jeffrey; Reed, Michael 6 1988 Propagation of singularities for non-linear wave equations in one dimension. Zbl 0377.35047Reed, Michael C. 6 1978 A spectral mapping theorem for tensor products of unbounded operators. Zbl 0255.47029Reed, Michael C.; Simon, Barry 5 1972 Bounded, stratified and striated solutions of hyperbolic systems. Zbl 0695.35124Rauch, J.; Reed, M. 4 1988 Classical, conormal, semilinear waves. Zbl 0615.35053Rauch, J.; Reed, M. 4 1986 Projecting biochemistry over long distances. Zbl 1302.92045Reed, M.; Nijhout, H. F.; Best, J. 4 2014 Reflection of singularities of one-dimensional semilinear wave equations at boundaries. Zbl 0435.35055Reed, Michael C.; Berning, John A. jun. 4 1979 A stochastic compartmental model for fast axonal transport. Zbl 1229.92016Popovic, Lea; Mckinley, Scott A.; Reed, Michael C. 4 2011 Torus invariance for the Clifford algebra. I. Zbl 0211.44006Reed, M. C. 3 1971 Mathematical questions in axonal transport. Zbl 0811.92008Reed, Michael C.; Blum, Jacob J. 3 1994 Mathematical biology is good for mathematics. Zbl 1338.01089Reed, Michael C. 3 2015 The transport of organelles in axons. Zbl 0651.92011Blum, J. J.; Reed, M. C. 3 1988 Fundamental ideas of analysis. Zbl 0887.26001Reed, Michael C. 3 1998 Propagation of fluctuations in biochemical systems. I: Linear SSC networks. Zbl 1298.92040Anderson, David F.; Mattingly, Jonathan C.; Nijhout, H. Frederik; Reed, Michael C. 3 2007 Homeostasis despite instability. Zbl 1392.92024Duncan, W.; Best, J.; Golubitsky, M.; Nijhout, H. F.; Reed, M. 3 2018 Torus invariance for the Clifford algebra. II. Zbl 0222.46048Reed, Michael C. 2 1971 Propagation of singularities in non-strictly hyperbolic semilinear systems: Examples. Zbl 0502.35061Rauch, Jeffrey; Reed, Michael C. 2 1982 Decay to equilibrium for the Carleman model in a box. Zbl 0598.76092Illner, Reinhard; Reed, Michael C. 2 1984 Functional analysis and probability theory. Zbl 0374.60052Reed, Michael C. 2 1973 Parabolic behavior of a hyperbolic delay equation. Zbl 1119.35107Laurent, Thomas; Rider, Brian; Reed, Michael 2 2006 Striated solutions of semilinear, two speed wave equations. Zbl 0537.35057Rauch, Jeffrey; Reed, Michael 1 1985 Ray-like solutions of semilinear wave equations. Zbl 0545.35058Rauch, J.; Reed, M. 1 1984 Covariant representations of infinite tensor product algebras. Zbl 0225.46059Herman, Richard H.; Reed, Michael C. 1 1972 The role of skeletal muscle in liver glutathione metabolism during acetaminophen overdose. Zbl 1347.92029Bilinsky, L. M.; Reed, M. C.; Nijhout, H. F. 1 2015 Homeostasis despite instability. Zbl 1392.92024Duncan, W.; Best, J.; Golubitsky, M.; Nijhout, H. F.; Reed, M. 3 2018 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 11 2017 Neurotransmitter concentrations in the presence of neural switching in one dimension. Zbl 1346.35246Lawley, Sean D.; Best, Janet A.; Reed, Michael C. 9 2016 Stochastic switching in infinite dimensions with applications to random parabolic PDE. Zbl 1338.35515Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C. 26 2015 Mathematical biology is good for mathematics. Zbl 1338.01089Reed, Michael C. 3 2015 The role of skeletal muscle in liver glutathione metabolism during acetaminophen overdose. Zbl 1347.92029Bilinsky, L. M.; Reed, M. C.; Nijhout, H. F. 1 2015 Sensitivity to switching rates in stochastically switched ODEs. Zbl 1329.60295Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C. 18 2014 Escape from homeostasis. Zbl 1370.92037Nijhout, H. Frederik; Best, Janet; Reed, Michael C. 12 2014 Projecting biochemistry over long distances. Zbl 1302.92045Reed, M.; Nijhout, H. F.; Best, J. 4 2014 A stochastic compartmental model for fast axonal transport. Zbl 1229.92016Popovic, Lea; Mckinley, Scott A.; Reed, Michael C. 4 2011 Propagation of fluctuations in biochemical systems. I: Linear SSC networks. Zbl 1298.92040Anderson, David F.; Mattingly, Jonathan C.; Nijhout, H. Frederik; Reed, Michael C. 3 2007 Parabolic behavior of a hyperbolic delay equation. Zbl 1119.35107Laurent, Thomas; Rider, Brian; Reed, Michael 2 2006 Why is mathematical biology so hard? Zbl 1168.92303Reed, Michael C. 11 2004 Fundamental ideas of analysis. Zbl 0887.26001Reed, Michael C. 3 1998 Mathematical questions in axonal transport. Zbl 0811.92008Reed, Michael C.; Blum, Jacob J. 3 1994 Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 0704.35087Reed, Michael C.; Venakides, Stephanos; Blum, Jacob Joseph 15 1990 Classical conormal solutions of semilinear systems. Zbl 0665.35046Rauch, Jeffrey; Reed, Michael 6 1988 Bounded, stratified and striated solutions of hyperbolic systems. Zbl 0695.35124Rauch, J.; Reed, M. 4 1988 The transport of organelles in axons. Zbl 0651.92011Blum, J. J.; Reed, M. C. 3 1988 Nonlinear superposition and absorption of delta waves in one space dimension. Zbl 0661.35058Rauch, Jeffrey; Reed, Michael C. 22 1987 Classical, conormal, semilinear waves. Zbl 0615.35053Rauch, J.; Reed, M. 4 1986 Striated solutions of semilinear, two speed wave equations. Zbl 0559.35053Rauch, Jeffrey; Reed, Michael 15 1985 Discontinuous progressing waves for semilinear systems. Zbl 0598.35069Rauch, Jeffrey; Reed, Michael C. 13 1985 Striated solutions of semilinear, two speed wave equations. Zbl 0537.35057Rauch, Jeffrey; Reed, Michael 1 1985 Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093Beals, Michael; Reed, Michael 11 1984 Decay to equilibrium for the Carleman model in a box. Zbl 0598.76092Illner, Reinhard; Reed, Michael C. 2 1984 Ray-like solutions of semilinear wave equations. Zbl 0545.35058Rauch, J.; Reed, M. 1 1984 Methods of modern mathematical physics. Vol. 3. Scattering theory. (Metody sovremennoj matematicheskoj fiziki. Tom 3. Teoriya rasseyaniya). Transl. from the English. Zbl 0517.47006Reed, M.; Simon, B. 84 1982 Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. Zbl 0503.35055Rauch, Jeffrey; Reed, Michael 46 1982 Singularities produced by the nonlinear interaction of three progressing waves; examples. Zbl 0502.35060Rauch, Jeffrey; Reed, Michael C. 25 1982 Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083Beals, Michael; Reed, Michael 16 1982 Methods of modern mathematical physics. Vol. 4. Analysis of operators. (Metody sovremennoj matematicheskoj fiziki. 4. Analiz operatorov). Transl. from the English by A. A. Pogrebkov and V. N. Sushko. Zbl 0521.47001Reed, Michael; Simon, Barry 9 1982 Propagation of singularities in non-strictly hyperbolic semilinear systems: Examples. Zbl 0502.35061Rauch, Jeffrey; Reed, Michael C. 2 1982 Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation. Zbl 0468.35064Rauch, Jeffrey; Reed, Michael 29 1981 The decay of solutions of the Carleman model. Zbl 0563.76073Illner, R.; Reed, M. C. 12 1981 Methods of modern mathematical physics. I: Functional analysis. Rev. and enl. ed. Zbl 0459.46001Reed, Michael; Simon, Barry 1,004 1980 Propagation of singularities for semilinear hyperbolic equations in one space variable. Zbl 0432.35055Rauch, Jeffrey; Reed, Michael C. 25 1980 Methods of modern mathematical physics. III: Scattering theory. Zbl 0405.47007Reed, Michael; Simon, Barry 693 1979 Reflection of singularities of one-dimensional semilinear wave equations at boundaries. Zbl 0435.35055Reed, Michael C.; Berning, John A. jun. 4 1979 Methods of modern mathematical physics. IV: Analysis of operators. Zbl 0401.47001Reed, Michael; Simon, Barry 2,331 1978 Propagation of singularities for non-linear wave equations in one dimension. Zbl 0377.35047Reed, Michael C. 6 1978 The scattering of classical waves from inhomogeneous media. Zbl 0338.35073Reed, Michael; Simon, Barry 15 1977 Abstract non linear wave equations. Zbl 0317.35002Reed, Michael 75 1976 Methods of modern mathematical physics. II: Fourier analysis, self- adjointness. Zbl 0308.47002Reed, Michael; Simon, Barry 1,959 1975 Higher order estimates and smoothness of nonlinear wave equations. Zbl 0309.35044Reed, Michael C. 7 1975 Support properties of the free measure for boson fields. Zbl 0285.60026Reed, M.; Rosen, L. 16 1974 Tensor products of closed operators on Banach spaces. Zbl 0256.47032Reed, Michael; Simon, Barry 19 1973 Functional analysis and probability theory. Zbl 0374.60052Reed, Michael C. 2 1973 Methods of modern mathematical physics. 1: Functional analysis. Zbl 0242.46001Reed, Michael; Simon, Barry 937 1972 A spectral mapping theorem for tensor products of unbounded operators. Zbl 0255.47029Reed, Michael C.; Simon, Barry 5 1972 Covariant representations of infinite tensor product algebras. Zbl 0225.46059Herman, Richard H.; Reed, Michael C. 1 1972 Torus invariance for the Clifford algebra. I. Zbl 0211.44006Reed, M. C. 3 1971 Torus invariance for the Clifford algebra. II. Zbl 0222.46048Reed, Michael C. 2 1971 On self-adjointness in infinite tensor product spaces. Zbl 0186.19302Reed, M. C. 7 1970 A Garding domain for quantum fields. Zbl 0186.28303Reed, M. C. 9 1969 all cited Publications top 5 cited Publications all top 5 Cited by 5,823 Authors 90 Simon, Barry 60 Albeverio, Sergio A. 59 Gesztesy, Fritz 40 Exner, Pavel 38 Arai, Asao 35 Fröhlich, Jürg Martin 35 Sigal, Israel Michael 28 Lewin, Mathieu 27 Herbst, Ira W. 27 Korotyaev, Evgeny L. 26 Helffer, Bernard 25 Weinstein, Michael I. 23 Yafaev, Dimitri R. 22 Lakaev, Saidakhmat Norzhigitovich 22 Weder, Ricardo A. 21 Kirsch, Werner 21 Rauch, Jeffrey B. 21 Reed, Michael C. 20 Cancès, Eric 19 Ding, Yanheng 18 Gérard, Christian 18 Lawley, Sean D. 17 Damanik, David 17 Davies, Edward Brian 17 Harrell, Evans M. II 17 Krejčiřík, David 17 Raikov, Georgi D. 16 Behrndt, Jussi 16 Frank, Rupert L. 16 Hiroshima, Fumio 15 Bach, Volker 15 Chuburin, Yuriĭ Pavlovich 15 Hempel, Rainer 15 Ichinose, Takashi 15 Latushkin, Yuri 15 Lotoreichik, Vladimir 15 Milatovic, Ognjen 15 Skibsted, Erik 15 Sobolev, Alexander V. 14 Duclos, Pierre 14 Hagedorn, George A. 14 Klopp, Frédéric 14 Komech, Alexander Ilich 14 Møller, Jacob Schach 14 Muminov, Mukhiddin Èshkobilovich 14 Ozawa, Tohru 14 Rasulov, Tulkin Khusenovich 14 Schneider, Guido 13 Borisov, Denis Ivanovich 13 Briet, Philippe 13 Carles, Rémi 13 Cornean, Horia D. 13 Denisov, Sergey A. 13 Gadella, Manuel 13 Griesemer, Marcel 13 Kondrat’yev, Yuriĭ Grygorovych 13 Lapidus, Michel L. 13 Molchanov, Stanislav Alekseevich 13 Nenciu, Gheorghe 13 Oberguggenberger, Michael B. 13 Perry, Peter A. 13 Pillet, Claude-Alain 13 Pizzo, Alessandro 13 Post, Olaf 13 Pushnitski, Alexander B. 13 Seiringer, Robert 13 Soffer, Avraham 13 Spohn, Herbert 13 Tanimoto, Yoh 13 Zagrebnov, Valentin A. 12 Allaire, Grégoire 12 Ballesteros, Miguel 12 Danilov, Leonid Ivanovich 12 Graf, Gian Michele 12 Guo, Yujin 12 Gupta, Kumar Sankar 12 Jørgensen, Palle E. T. 12 Klein, Abel 12 Kuchment, Peter A. 12 Last, Yoram 12 Lu, Jianfeng 12 Malamud, Mark M. 12 Neidhardt, Hagen 12 Röckner, Michael 12 Sukochev, Fedor Anatol’evich 12 Tiedra de Aldecoa, Rafael 12 Toft, Joachim 12 Vougalter, Vitali 12 Yajima, Kenji 11 Avron, Joseph E. 11 Bachelot, Alain 11 Barbaroux, Jean-Marie 11 De Nittis, Giuseppe 11 Dybalski, Wojciech 11 Faupin, Jérémy 11 Figotin, Alexander 11 Fournais, Søren 11 Goldberg, Michael Joseph 11 Golubitsky, Martin A. 11 Gontier, David ...and 5,723 more Authors all top 5 Cited in 558 Serials 569 Communications in Mathematical Physics 329 Journal of Mathematical Physics 265 Journal of Functional Analysis 166 Annales Henri Poincaré 149 Journal of Mathematical Analysis and Applications 147 Journal of Statistical Physics 134 Theoretical and Mathematical Physics 132 Journal of Differential Equations 127 Communications in Partial Differential Equations 126 Letters in Mathematical Physics 120 Reviews in Mathematical Physics 115 Annales de l’Institut Henri Poincaré. Physique Théorique 96 Transactions of the American Mathematical Society 90 Integral Equations and Operator Theory 86 Proceedings of the American Mathematical Society 77 Archive for Rational Mechanics and Analysis 72 Journal of Mathematical Sciences (New York) 64 Mathematische Zeitschrift 60 Duke Mathematical Journal 51 Mathematical Notes 51 SIAM Journal on Mathematical Analysis 48 Reports on Mathematical Physics 46 International Journal of Theoretical Physics 45 Publications of the Research Institute for Mathematical Sciences, Kyoto University 44 Annals of Physics 43 Functional Analysis and its Applications 43 Mathematische Annalen 38 Mathematische Nachrichten 37 Advances in Mathematics 37 Annales de l’Institut Fourier 34 Journal d’Analyse Mathématique 34 Journal of Soviet Mathematics 33 Journal of Spectral Theory 32 Communications on Pure and Applied Mathematics 32 Mathematical Methods in the Applied Sciences 32 Ukrainian Mathematical Journal 32 Physica D 32 Probability Theory and Related Fields 32 Mathematical Physics, Analysis and Geometry 31 Infinite Dimensional Analysis, Quantum Probability and Related Topics 30 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 30 Complex Analysis and Operator Theory 29 Physics Letters. A 29 The Journal of Geometric Analysis 29 Journal of Pseudo-Differential Operators and Applications 28 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 27 Potential Analysis 27 Calculus of Variations and Partial Differential Equations 26 Applicable Analysis 26 Transport Theory and Statistical Physics 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 24 The Journal of Fourier Analysis and Applications 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Acta Applicandae Mathematicae 22 Linear Algebra and its Applications 22 Discrete and Continuous Dynamical Systems 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 St. Petersburg Mathematical Journal 20 The Annals of Probability 20 Russian Journal of Mathematical Physics 20 Foundations of Physics 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Inventiones Mathematicae 19 Memoirs of the American Mathematical Society 19 Monatshefte für Mathematik 19 Siberian Mathematical Journal 19 The Annals of Applied Probability 19 SIAM Journal on Applied Mathematics 19 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 19 Journal of Dynamics and Differential Equations 18 Bulletin of the American Mathematical Society. New Series 18 Journal of Evolution Equations 18 Nonlinear Analysis. Theory, Methods & Applications 17 Journal of Geometry and Physics 17 Journal of the American Mathematical Society 17 Journal of High Energy Physics 17 Advances in Mathematical Physics 16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 16 Journal of Nonlinear Science 16 Communications in Contemporary Mathematics 15 Journal of Mathematical Biology 15 Manuscripta Mathematica 15 Numerische Mathematik 15 Stochastic Processes and their Applications 15 NoDEA. Nonlinear Differential Equations and Applications 14 Rocky Mountain Journal of Mathematics 14 Semigroup Forum 14 Communications on Pure and Applied Analysis 14 Analysis and Mathematical Physics 13 General Relativity and Gravitation 13 Israel Journal of Mathematics 13 Doklady Mathematics 13 Acta Mathematica Sinica. English Series 13 Lobachevskii Journal of Mathematics 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Multiscale Modeling & Simulation 13 International Journal of Geometric Methods in Modern Physics 12 International Journal of Modern Physics A 12 Annals of Global Analysis and Geometry ...and 458 more Serials all top 5 Cited in 62 Fields 2,872 Partial differential equations (35-XX) 2,375 Quantum theory (81-XX) 1,860 Operator theory (47-XX) 693 Statistical mechanics, structure of matter (82-XX) 670 Probability theory and stochastic processes (60-XX) 646 Functional analysis (46-XX) 509 Ordinary differential equations (34-XX) 466 Global analysis, analysis on manifolds (58-XX) 278 Dynamical systems and ergodic theory (37-XX) 225 Fluid mechanics (76-XX) 214 Numerical analysis (65-XX) 188 Differential geometry (53-XX) 168 Optics, electromagnetic theory (78-XX) 161 Harmonic analysis on Euclidean spaces (42-XX) 136 Relativity and gravitational theory (83-XX) 115 Biology and other natural sciences (92-XX) 108 Calculus of variations and optimal control; optimization (49-XX) 100 Topological groups, Lie groups (22-XX) 99 Measure and integration (28-XX) 94 Mechanics of deformable solids (74-XX) 90 Mechanics of particles and systems (70-XX) 77 Linear and multilinear algebra; matrix theory (15-XX) 77 Integral equations (45-XX) 75 Combinatorics (05-XX) 74 Systems theory; control (93-XX) 72 Difference and functional equations (39-XX) 64 Potential theory (31-XX) 64 Abstract harmonic analysis (43-XX) 54 Real functions (26-XX) 54 Functions of a complex variable (30-XX) 52 Statistics (62-XX) 46 Several complex variables and analytic spaces (32-XX) 46 Information and communication theory, circuits (94-XX) 44 Special functions (33-XX) 44 Approximations and expansions (41-XX) 36 Number theory (11-XX) 36 Integral transforms, operational calculus (44-XX) 29 Nonassociative rings and algebras (17-XX) 29 Manifolds and cell complexes (57-XX) 27 Algebraic geometry (14-XX) 26 Computer science (68-XX) 25 Group theory and generalizations (20-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Mathematical logic and foundations (03-XX) 23 Classical thermodynamics, heat transfer (80-XX) 21 Astronomy and astrophysics (85-XX) 21 Operations research, mathematical programming (90-XX) 20 \(K\)-theory (19-XX) 14 Associative rings and algebras (16-XX) 14 Convex and discrete geometry (52-XX) 13 Sequences, series, summability (40-XX) 11 Algebraic topology (55-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 8 Category theory; homological algebra (18-XX) 8 Geophysics (86-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 1 Field theory and polynomials (12-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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