# zbMATH — the first resource for mathematics

## Reed, Michael C.

Compute Distance To:
 Author ID: reed.michael-c Published as: C. Reed, Michael; Reed, M.; Reed, M. C.; Reed, Michael; Reed, Michael C. External Links: MGP · Wikidata · GND
 Documents Indexed: 72 Publications since 1969, including 9 Books
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#### Co-Authors

 17 single-authored 17 Rauch, Jeffrey B. 10 Simon, Barry 8 Nijhout, H. Frederik 5 Best, Janet A. 4 Blum, Jacob Joseph 3 Lawley, Sean D. 3 Mattingly, Jonathan C. 2 Beals, Michael 2 Golubitsky, Martin A. 2 Illner, Reinhard 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
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#### 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 Journal of Theoretical Biology 1 Journal of Mathematical Analysis and Applications 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
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#### Fields

 41 Partial differential equations (35-XX) 18 Biology and other natural sciences (92-XX) 14 Operator theory (47-XX) 11 Functional analysis (46-XX) 10 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) 2 History and biography (01-XX) 2 Systems theory; control (93-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)

#### Citations contained in zbMATH Open

56 Publications have been cited 8,168 times in 6,878 Documents Cited by Year
Methods of modern mathematical physics. IV: Analysis of operators. Zbl 0401.47001
Reed, Michael; Simon, Barry
1978
Methods of modern mathematical physics. II: Fourier analysis, self- adjointness. Zbl 0308.47002
Reed, Michael; Simon, Barry
1975
Methods of modern mathematical physics. 1: Functional analysis. Zbl 0242.46001
Reed, Michael; Simon, Barry
1972
Methods of modern mathematical physics. I: Functional analysis. Rev. and enl. ed. Zbl 0459.46001
Reed, Michael; Simon, Barry
1980
Methods of modern mathematical physics. III: Scattering theory. Zbl 0405.47007
Reed, Michael; Simon, Barry
1979
Abstract non linear wave equations. Zbl 0317.35002
Reed, Michael
1976
Methods of modern mathematical physics. Vol. 3. Scattering theory. (Metody sovremennoj matematicheskoj fiziki. Tom 3. Teoriya rasseyaniya). Transl. from the English. Zbl 0517.47006
Reed, M.; Simon, B.
1982
Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. Zbl 0503.35055
Rauch, Jeffrey; Reed, Michael
1982
Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation. Zbl 0468.35064
Rauch, Jeffrey; Reed, Michael
1981
Propagation of singularities for semilinear hyperbolic equations in one space variable. Zbl 0432.35055
Rauch, Jeffrey; Reed, Michael C.
1980
Nonlinear superposition and absorption of delta waves in one space dimension. Zbl 0661.35058
Rauch, Jeffrey; Reed, Michael C.
1987
Singularities produced by the nonlinear interaction of three progressing waves; examples. Zbl 0502.35060
Rauch, Jeffrey; Reed, Michael C.
1982
Stochastic switching in infinite dimensions with applications to random parabolic PDE. Zbl 1338.35515
Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C.
2015
Tensor products of closed operators on Banach spaces. Zbl 0256.47032
Reed, Michael; Simon, Barry
1973
The scattering of classical waves from inhomogeneous media. Zbl 0338.35073
Reed, Michael; Simon, Barry
1977
Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083
Beals, Michael; Reed, Michael
1982
Sensitivity to switching rates in stochastically switched ODEs. Zbl 1329.60295
Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C.
2014
Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 0704.35087
Reed, Michael C.; Venakides, Stephanos; Blum, Jacob Joseph
1990
Striated solutions of semilinear, two speed wave equations. Zbl 0559.35053
Rauch, Jeffrey; Reed, Michael
1985
Support properties of the free measure for boson fields. Zbl 0285.60026
Reed, M.; Rosen, L.
1974
Discontinuous progressing waves for semilinear systems. Zbl 0598.35069
Rauch, Jeffrey; Reed, Michael C.
1985
Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093
Beals, Michael; Reed, Michael
1984
Why is mathematical biology so hard? Zbl 1168.92303
Reed, Michael C.
2004
The decay of solutions of the Carleman model. Zbl 0563.76073
Illner, R.; Reed, M. C.
1981
Escape from homeostasis. Zbl 1370.92037
Nijhout, H. Frederik; Best, Janet; Reed, Michael C.
2014
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 0521.47001
Reed, Michael; Simon, Barry
1982
A Garding domain for quantum fields. Zbl 0186.28303
Reed, M. C.
1969
Neurotransmitter concentrations in the presence of neural switching in one dimension. Zbl 1346.35246
Lawley, Sean D.; Best, Janet A.; Reed, Michael C.
2016
Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131
Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik
2017
Propagation of singularities for non-linear wave equations in one dimension. Zbl 0377.35047
Reed, Michael C.
1978
Higher order estimates and smoothness of nonlinear wave equations. Zbl 0309.35044
Reed, Michael C.
1975
On self-adjointness in infinite tensor product spaces. Zbl 0186.19302
Reed, M. C.
1970
Projecting biochemistry over long distances. Zbl 1302.92045
Reed, M.; Nijhout, H. F.; Best, J.
2014
A stochastic compartmental model for fast axonal transport. Zbl 1229.92016
Popovic, Lea; Mckinley, Scott A.; Reed, Michael C.
2011
Bounded, stratified and striated solutions of hyperbolic systems. Zbl 0695.35124
Rauch, J.; Reed, M.
1988
Classical conormal solutions of semilinear systems. Zbl 0665.35046
Rauch, Jeffrey; Reed, Michael
1988
Classical, conormal, semilinear waves. Zbl 0615.35053
Rauch, J.; Reed, M.
1986
Reflection of singularities of one-dimensional semilinear wave equations at boundaries. Zbl 0435.35055
Reed, Michael C.; Berning, John A. jun.
1979
Propagation of fluctuations in biochemical systems. I: Linear SSC networks. Zbl 1298.92040
Anderson, David F.; Mattingly, Jonathan C.; Nijhout, H. Frederik; Reed, Michael C.
2007
Fundamental ideas of analysis. Zbl 0887.26001
Reed, Michael C.
1998
Mathematical questions in axonal transport. Zbl 0811.92008
Reed, Michael C.; Blum, Jacob J.
1994
The transport of organelles in axons. Zbl 0651.92011
Blum, J. J.; Reed, M. C.
1988
A spectral mapping theorem for tensor products of unbounded operators. Zbl 0255.47029
Reed, Michael C.; Simon, Barry
1972
Torus invariance for the Clifford algebra. I. Zbl 0211.44006
Reed, M. C.
1971
Homeostasis despite instability. Zbl 1392.92024
Duncan, W.; Best, J.; Golubitsky, M.; Nijhout, H. F.; Reed, M.
2018
Mathematical biology is good for mathematics. Zbl 1338.01089
Reed, Michael C.
2015
Parabolic behavior of a hyperbolic delay equation. Zbl 1119.35107
Laurent, Thomas; Rider, Brian; Reed, Michael
2006
Decay to equilibrium for the Carleman model in a box. Zbl 0598.76092
Illner, Reinhard; Reed, Michael C.
1984
Propagation of singularities in non-strictly hyperbolic semilinear systems: Examples. Zbl 0502.35061
Rauch, Jeffrey; Reed, Michael C.
1982
Functional analysis and probability theory. Zbl 0374.60052
Reed, Michael C.
1973
Torus invariance for the Clifford algebra. II. Zbl 0222.46048
Reed, Michael C.
1971
The role of skeletal muscle in liver glutathione metabolism during acetaminophen overdose. Zbl 1347.92029
Bilinsky, L. M.; Reed, M. C.; Nijhout, H. F.
2015
Striated solutions of semilinear, two speed wave equations. Zbl 0537.35057
Rauch, Jeffrey; Reed, Michael
1985
Ray-like solutions of semilinear wave equations. Zbl 0545.35058
Rauch, J.; Reed, M.
1984
Singularities in non-linear waves of Klein-Gordon type. Zbl 0385.35045
Reed, Michael C.
1978
Covariant representations of infinite tensor product algebras. Zbl 0225.46059
Herman, Richard H.; Reed, Michael C.
1972
Homeostasis despite instability. Zbl 1392.92024
Duncan, W.; Best, J.; Golubitsky, M.; Nijhout, H. F.; Reed, M.
2018
Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131
Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik
2017
Neurotransmitter concentrations in the presence of neural switching in one dimension. Zbl 1346.35246
Lawley, Sean D.; Best, Janet A.; Reed, Michael C.
2016
Stochastic switching in infinite dimensions with applications to random parabolic PDE. Zbl 1338.35515
Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C.
2015
Mathematical biology is good for mathematics. Zbl 1338.01089
Reed, Michael C.
2015
The role of skeletal muscle in liver glutathione metabolism during acetaminophen overdose. Zbl 1347.92029
Bilinsky, L. M.; Reed, M. C.; Nijhout, H. F.
2015
Sensitivity to switching rates in stochastically switched ODEs. Zbl 1329.60295
Lawley, Sean D.; Mattingly, Jonathan C.; Reed, Michael C.
2014
Escape from homeostasis. Zbl 1370.92037
Nijhout, H. Frederik; Best, Janet; Reed, Michael C.
2014
Projecting biochemistry over long distances. Zbl 1302.92045
Reed, M.; Nijhout, H. F.; Best, J.
2014
A stochastic compartmental model for fast axonal transport. Zbl 1229.92016
Popovic, Lea; Mckinley, Scott A.; Reed, Michael C.
2011
Propagation of fluctuations in biochemical systems. I: Linear SSC networks. Zbl 1298.92040
Anderson, David F.; Mattingly, Jonathan C.; Nijhout, H. Frederik; Reed, Michael C.
2007
Parabolic behavior of a hyperbolic delay equation. Zbl 1119.35107
Laurent, Thomas; Rider, Brian; Reed, Michael
2006
Why is mathematical biology so hard? Zbl 1168.92303
Reed, Michael C.
2004
Fundamental ideas of analysis. Zbl 0887.26001
Reed, Michael C.
1998
Mathematical questions in axonal transport. Zbl 0811.92008
Reed, Michael C.; Blum, Jacob J.
1994
Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 0704.35087
Reed, Michael C.; Venakides, Stephanos; Blum, Jacob Joseph
1990
Bounded, stratified and striated solutions of hyperbolic systems. Zbl 0695.35124
Rauch, J.; Reed, M.
1988
Classical conormal solutions of semilinear systems. Zbl 0665.35046
Rauch, Jeffrey; Reed, Michael
1988
The transport of organelles in axons. Zbl 0651.92011
Blum, J. J.; Reed, M. C.
1988
Nonlinear superposition and absorption of delta waves in one space dimension. Zbl 0661.35058
Rauch, Jeffrey; Reed, Michael C.
1987
Classical, conormal, semilinear waves. Zbl 0615.35053
Rauch, J.; Reed, M.
1986
Striated solutions of semilinear, two speed wave equations. Zbl 0559.35053
Rauch, Jeffrey; Reed, Michael
1985
Discontinuous progressing waves for semilinear systems. Zbl 0598.35069
Rauch, Jeffrey; Reed, Michael C.
1985
Striated solutions of semilinear, two speed wave equations. Zbl 0537.35057
Rauch, Jeffrey; Reed, Michael
1985
Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093
Beals, Michael; Reed, Michael
1984
Decay to equilibrium for the Carleman model in a box. Zbl 0598.76092
Illner, Reinhard; Reed, Michael C.
1984
Ray-like solutions of semilinear wave equations. Zbl 0545.35058
Rauch, J.; Reed, M.
1984
Methods of modern mathematical physics. Vol. 3. Scattering theory. (Metody sovremennoj matematicheskoj fiziki. Tom 3. Teoriya rasseyaniya). Transl. from the English. Zbl 0517.47006
Reed, M.; Simon, B.
1982
Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. Zbl 0503.35055
Rauch, Jeffrey; Reed, Michael
1982
Singularities produced by the nonlinear interaction of three progressing waves; examples. Zbl 0502.35060
Rauch, Jeffrey; Reed, Michael C.
1982
Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083
Beals, Michael; Reed, Michael
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 0521.47001
Reed, Michael; Simon, Barry
1982
Propagation of singularities in non-strictly hyperbolic semilinear systems: Examples. Zbl 0502.35061
Rauch, Jeffrey; Reed, Michael C.
1982
Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation. Zbl 0468.35064
Rauch, Jeffrey; Reed, Michael
1981
The decay of solutions of the Carleman model. Zbl 0563.76073
Illner, R.; Reed, M. C.
1981
Methods of modern mathematical physics. I: Functional analysis. Rev. and enl. ed. Zbl 0459.46001
Reed, Michael; Simon, Barry
1980
Propagation of singularities for semilinear hyperbolic equations in one space variable. Zbl 0432.35055
Rauch, Jeffrey; Reed, Michael C.
1980
Methods of modern mathematical physics. III: Scattering theory. Zbl 0405.47007
Reed, Michael; Simon, Barry
1979
Reflection of singularities of one-dimensional semilinear wave equations at boundaries. Zbl 0435.35055
Reed, Michael C.; Berning, John A. jun.
1979
Methods of modern mathematical physics. IV: Analysis of operators. Zbl 0401.47001
Reed, Michael; Simon, Barry
1978
Propagation of singularities for non-linear wave equations in one dimension. Zbl 0377.35047
Reed, Michael C.
1978
Singularities in non-linear waves of Klein-Gordon type. Zbl 0385.35045
Reed, Michael C.
1978
The scattering of classical waves from inhomogeneous media. Zbl 0338.35073
Reed, Michael; Simon, Barry
1977
Abstract non linear wave equations. Zbl 0317.35002
Reed, Michael
1976
Methods of modern mathematical physics. II: Fourier analysis, self- adjointness. Zbl 0308.47002
Reed, Michael; Simon, Barry
1975
Higher order estimates and smoothness of nonlinear wave equations. Zbl 0309.35044
Reed, Michael C.
1975
Support properties of the free measure for boson fields. Zbl 0285.60026
Reed, M.; Rosen, L.
1974
Tensor products of closed operators on Banach spaces. Zbl 0256.47032
Reed, Michael; Simon, Barry
1973
Functional analysis and probability theory. Zbl 0374.60052
Reed, Michael C.
1973
Methods of modern mathematical physics. 1: Functional analysis. Zbl 0242.46001
Reed, Michael; Simon, Barry
1972
A spectral mapping theorem for tensor products of unbounded operators. Zbl 0255.47029
Reed, Michael C.; Simon, Barry
1972
Covariant representations of infinite tensor product algebras. Zbl 0225.46059
Herman, Richard H.; Reed, Michael C.
1972
Torus invariance for the Clifford algebra. I. Zbl 0211.44006
Reed, M. C.
1971
Torus invariance for the Clifford algebra. II. Zbl 0222.46048
Reed, Michael C.
1971
On self-adjointness in infinite tensor product spaces. Zbl 0186.19302
Reed, M. C.
1970
A Garding domain for quantum fields. Zbl 0186.28303
Reed, M. C.
1969
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#### Cited by 6,287 Authors

 102 Simon, Barry 69 Albeverio, Sergio A. 57 Gesztesy, Fritz 41 Exner, Pavel 39 Arai, Asao 39 Fröhlich, Jürg Martin 35 Sigal, Israel Michael 30 Herbst, Ira W. 27 Helffer, Bernard 27 Lewin, Mathieu 25 Kirsch, Werner 25 Korotyaev, Evgeny L. 24 Davies, Edward Brian 24 Weinstein, Michael I. 23 Weder, Ricardo A. 22 Harrell, Evans M. II 21 Damanik, David 21 Ding, Yanheng 21 Gérard, Christian 21 Reed, Michael C. 20 Gadella, Manuel 20 Lakaev, Saidakhmat Norzhigitovich 20 Rauch, Jeffrey B. 19 Cancès, Eric 19 Krejčiřík, David 18 Hiroshima, Fumio 18 Raikov, Georgi D. 18 Yafaev, Dimitri R. 17 Lotoreichik, Vladimir 17 Sukochev, Fedor Anatol’evich 17 Zagrebnov, Valentin A. 16 Chuburin, Yuriĭ Pavlovich 16 Frank, Rupert L. 16 Gupta, Kumar Sankar 16 Ichinose, Takashi 16 Jørgensen, Palle E. T. 16 Röckner, Michael 16 Spohn, Herbert 15 Bach, Volker 15 Behrndt, Jussi 15 Briet, Philippe 15 Duclos, Pierre 15 Hagedorn, George A. 15 Last, Yoram 15 Muminov, Mukhiddin Èshkobilovich 15 Nakamura, Shu 15 Neidhardt, Hagen 15 Skibsted, Erik 15 Wreszinski, Walter F. 14 Avron, Joseph E. 14 Golénia, Sylvain 14 Hempel, Rainer 14 Klein, Abel 14 Klopp, Frédéric 14 Kondrat’yev, Yuriĭ Grygorovych 14 Kuchment, Peter A. 14 Latushkin, Yuri 14 Lawley, Sean D. 14 Ozawa, Tohru 14 Pizzo, Alessandro 14 Rasulov, Tulkin Khusenovich 14 Sobolev, Alexander V. 14 Soffer, Avraham 13 Borisov, Denis Ivanovich 13 Cornean, Horia D. 13 Denisov, Sergey A. 13 Dereziński, Jan 13 Figotin, Alexander 13 Goldberg, Michael Joseph 13 Graffi, Sandro 13 Grothaus, Martin 13 Klaus, Martin 13 Lapidus, Michel L. 13 Malamud, Mark M. 13 Martinez, André 13 Milatovic, Ognjen 13 Molchanov, Stanislav Alekseevich 13 Nier, Francis 13 Perry, Peter A. 13 Pillet, Claude-Alain 13 Pushnitski, Alexander B. 13 Schneider, Guido 13 Tamura, Hideo 12 Allaire, Grégoire 12 Bachelot, Alain 12 Bagarello, Fabio 12 Barbaroux, Jean-Marie 12 Carles, Rémi 12 Deift, Percy A. 12 Ginibre, Jean 12 Graf, Gian Michele 12 Guillot, Jean-Claude 12 Güneysu, Batu 12 Guo, Yujin 12 Jakšić, Vojkan 12 Lenz, Daniel H. 12 Marmo, Giuseppe 12 Miyao, Tadahiro 12 Nenciu, Gheorghe 12 Oberguggenberger, Michael B. ...and 6,187 more Authors
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#### Cited in 531 Serials

 541 Communications in Mathematical Physics 431 Journal of Functional Analysis 380 Journal of Mathematical Physics 266 Journal of Mathematical Analysis and Applications 193 Journal of Differential Equations 147 Annales Henri Poincaré 144 Journal of Statistical Physics 134 Theoretical and Mathematical Physics 125 Communications in Partial Differential Equations 116 Letters in Mathematical Physics 115 Annales de l’Institut Henri Poincaré. Physique Théorique 108 Reports on Mathematical Physics 107 Reviews in Mathematical Physics 98 Annals of Physics 95 Transactions of the American Mathematical Society 88 Integral Equations and Operator Theory 84 Proceedings of the American Mathematical Society 70 Archive for Rational Mechanics and Analysis 66 Journal of Mathematical Sciences (New York) 61 Physics Letters. A 61 Mathematische Zeitschrift 59 Duke Mathematical Journal 52 Advances in Mathematics 50 Mathematical Notes 50 Linear Algebra and its Applications 45 International Journal of Theoretical Physics 45 Publications of the Research Institute for Mathematical Sciences, Kyoto University 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Nonlinear Analysis. Theory, Methods & Applications 43 SIAM Journal on Mathematical Analysis 42 Functional Analysis and its Applications 42 Mathematische Annalen 41 Physica D 40 Journal of Geometry and Physics 38 Mathematische Nachrichten 38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 35 Probability Theory and Related Fields 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Annales de l’Institut Fourier 34 Journal of Soviet Mathematics 32 Communications on Pure and Applied Mathematics 32 Journal d’Analyse Mathématique 32 Mathematical Methods in the Applied Sciences 32 Stochastic Processes and their Applications 31 Ukrainian Mathematical Journal 30 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 30 Mathematical Physics, Analysis and Geometry 30 Infinite Dimensional Analysis, Quantum Probability and Related Topics 28 Nuclear Physics. B 27 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 27 Journal of Pseudo-Differential Operators and Applications 26 Transport Theory and Statistical Physics 26 Potential Analysis 26 Journal of Spectral Theory 25 Complex Analysis and Operator Theory 23 Applicable Analysis 23 Calculus of Variations and Partial Differential Equations 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 The Journal of Geometric Analysis 20 Journal of Computational Physics 20 Discrete and Continuous Dynamical Systems 20 The Journal of Fourier Analysis and Applications 19 Journal of Computational and Applied Mathematics 19 The Annals of Applied Probability 19 Bulletin of the American Mathematical Society. New Series 19 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 19 Russian Journal of Mathematical Physics 19 Journal of High Energy Physics 18 Inventiones Mathematicae 18 Memoirs of the American Mathematical Society 18 Monatshefte für Mathematik 18 Siberian Mathematical Journal 18 Acta Applicandae Mathematicae 18 SIAM Journal on Applied Mathematics 17 Computers & Mathematics with Applications 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 The Annals of Probability 17 Journal of the American Mathematical Society 17 Journal of Dynamics and Differential Equations 17 Advances in Mathematical Physics 16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 16 St. Petersburg Mathematical Journal 16 Journal of Physics A: Mathematical and Theoretical 15 Manuscripta Mathematica 14 Rocky Mountain Journal of Mathematics 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Semigroup Forum 14 Applied Mathematics Letters 14 Bulletin des Sciences Mathématiques 14 Communications in Contemporary Mathematics 14 Communications on Pure and Applied Analysis 14 International Journal of Geometric Methods in Modern Physics 14 Foundations of Physics 13 International Journal of Modern Physics A 13 General Relativity and Gravitation 13 Israel Journal of Mathematics 13 Physics Letters. B 13 Journal of Approximation Theory 13 Numerische Mathematik ...and 431 more Serials
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#### Cited in 62 Fields

 2,969 Partial differential equations (35-XX) 2,552 Quantum theory (81-XX) 1,991 Operator theory (47-XX) 724 Statistical mechanics, structure of matter (82-XX) 717 Functional analysis (46-XX) 681 Probability theory and stochastic processes (60-XX) 525 Ordinary differential equations (34-XX) 491 Global analysis, analysis on manifolds (58-XX) 289 Dynamical systems and ergodic theory (37-XX) 231 Numerical analysis (65-XX) 230 Fluid mechanics (76-XX) 194 Differential geometry (53-XX) 185 Optics, electromagnetic theory (78-XX) 169 Harmonic analysis on Euclidean spaces (42-XX) 158 Relativity and gravitational theory (83-XX) 115 Calculus of variations and optimal control; optimization (49-XX) 110 Topological groups, Lie groups (22-XX) 107 Biology and other natural sciences (92-XX) 105 Measure and integration (28-XX) 100 Mechanics of particles and systems (70-XX) 100 Mechanics of deformable solids (74-XX) 96 Linear and multilinear algebra; matrix theory (15-XX) 81 Integral equations (45-XX) 79 Systems theory; control (93-XX) 76 Abstract harmonic analysis (43-XX) 73 Combinatorics (05-XX) 71 Difference and functional equations (39-XX) 64 Functions of a complex variable (30-XX) 63 Potential theory (31-XX) 61 Statistics (62-XX) 49 Real functions (26-XX) 49 Information and communication theory, circuits (94-XX) 48 Approximations and expansions (41-XX) 44 Several complex variables and analytic spaces (32-XX) 44 Special functions (33-XX) 40 Number theory (11-XX) 39 Integral transforms, operational calculus (44-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Manifolds and cell complexes (57-XX) 31 Nonassociative rings and algebras (17-XX) 30 Algebraic geometry (14-XX) 26 Group theory and generalizations (20-XX) 25 Mathematical logic and foundations (03-XX) 24 Classical thermodynamics, heat transfer (80-XX) 23 Computer science (68-XX) 20 $$K$$-theory (19-XX) 20 Astronomy and astrophysics (85-XX) 20 Operations research, mathematical programming (90-XX) 16 Associative rings and algebras (16-XX) 11 Sequences, series, summability (40-XX) 11 Convex and discrete geometry (52-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Category theory; homological algebra (18-XX) 9 Algebraic topology (55-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Geophysics (86-XX) 3 Commutative algebra (13-XX) 3 General topology (54-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-XX) 1 Mathematics education (97-XX)

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