Courant Lecture Notes in Mathematics Short Title: Courant Lect. Notes Math. Publisher: Courant Institute of Mathematical Sciences, New York University, New York, NY; American Mathematical Society (AMS), Providence, RI ISSN: 1529-9031 Online: http://www.ams.org/bookstore/clnserieshttp://www.ams.org/publications/ebooks/emonographs Comments: Book series; Indexed cover-to-cover Documents Indexed: 36 Publications (since 1997) all top 5 Latest Volumes 33 (2024) 32 (2024) 31 (2022) 30 (2020) 29 (2019) 28 (2017) 27 (2016) 26 (2015) 25 (2014) 24 (2013) 23 (2012) 22 (2011) 21 (2010) 20 (2010) 19 (2009) 18 (2009) 17 (2008) 16 (2007) 15 (2007) 14 (2006) 13 (2006) 12 (2005) 11 (2004) 10 (2003) 9 (2003) 8 (2002) 7 (2001) 6 (2001) 5 (2000) 4 (1999) 3 (2000) 2 (1998/2000) 1 (1997/2011) all top 5 Authors / Editors 4 Varadhan, S. R. Srinivasa 3 Han, Qing 3 Lin, Fang Hua 2 Childress, Stephen 2 Deift, Percy A. 2 Greenleaf, Frederick P. 2 Hoppensteadt, Frank C. 2 Marques, Sophie 2 Percus, Jerome K. 2 Shatah, Jalal 2 Struwe, Michael 1 Artin, Emil 1 Artino, Ralph A. 1 Blank, Albert Abraham 1 Bogomolov, Fedor Alekseivich 1 Bühler, Oliver 1 Cazenave, Thierry 1 Colding, Tobias Holck 1 Erdős, László 1 Esposito, Pierpaolo 1 Friedrichs, Kurt Otto 1 Gabriel, Franck 1 Ghoussoub, Nassif A. 1 Gioev, Dimitri 1 Guo, Yujin 1 Hebey, Emmanuel 1 Holmes-Cerfon, Miranda C. 1 Hongler, Clément 1 Lax, Peter David 1 Majda, Andrew J. 1 Minicozzi, William Philip II 1 Moser, Jürgen K. 1 Nirenberg, Louis 1 Petrov, Tihomir 1 Sarich, Marco 1 Schütte, Christof 1 Spadaro, Francesco 1 Varadarajan, Veeravalli S. 1 Yau, Horng-Tzer 1 Zehnder, Eduard J. 1 Zhang, Ping all top 5 Fields 14 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 4 Biology and other natural sciences (92-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 4,335 times in 4,252 Documents Cited by ▼ Year ▼ Semilinear Schrödinger equations. Zbl 1055.35003 Cazenave, Thierry 1,521 2003 Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033 Deift, Percy 434 2000 Introduction to PDEs and waves for the atmosphere and ocean. Zbl 1278.76004 Majda, Andrew 424 2003 Nonlinear analysis on manifolds: Sobolev spaces and inequalities. Zbl 0981.58006 Hebey, Emmanuel 263 2000 Elliptic partial differential equations. 2nd ed. Zbl 1210.35031 Han, Qing; Lin, Fanghua 235 2011 Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023 Nirenberg, Louis 183 2001 Geometric wave equations. Zbl 0993.35001 Shatah, Jalal; Struwe, Michael 171 1998 Supersymmetry for mathematicians: an introduction. Zbl 1142.58009 Varadarajan, V. S. 145 2004 Elliptic partial differential equations. Zbl 1051.35031 Han, Qing; Lin, Fanghua 124 1997 A dynamical approach to random matrix theory. Zbl 1379.15003 Erdős, László; Yau, Horng-Tzer 121 2017 Mathematical analysis of partial differential equations modeling electrostatic MEMS. Zbl 1223.35003 Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin 118 2010 Elliptic partial differential equations. Reprint of the 1997 orig. Zbl 1052.35505 Han, Qing; Lin, Fanghua 101 1997 Hyperbolic partial differential equations. Zbl 1113.35002 Lax, Peter D. 80 2006 Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023 Deift, Percy; Gioev, Dimitri 78 2009 Notes on dynamical systems. Zbl 1087.37001 Moser, Jürgen; Zehnder, Eduard J. 67 2005 Probability theory. Zbl 0980.60002 Varadhan, S. R. S. 55 2001 Metastability and Markov state models in molecular dynamics. Modeling, analysis, algorithmic approaches. Zbl 1305.60004 Schütte, Christof; Sarich, Marco 46 2013 Minimal surfaces. Zbl 0987.49025 Colding, Tobias H.; Minicozzi, William P. II 45 1999 Geometric wave equations. Reprint of the 1998 original. Zbl 1051.35500 Shatah, Jalal; Struwe, Michael 30 2000 An introduction to theoretical fluid mechanics. Zbl 1309.76001 Childress, Stephen 28 2009 Stochastic processes. Zbl 1133.60004 Varadhan, S. R. S. 26 2007 Wigner measure and semiclassical limits of nonlinear Schrödinger equations. Zbl 1154.35002 Zhang, Ping 14 2008 Large deviations. Zbl 1377.60006 Varadhan, S. R. S. 12 2016 Algebra with Galois theory. Notes by Albert A. Blank. Republishing of the book published 1947 under the title Modern higher algebra. Galois theory. Zbl 1131.12001 Artin, Emil 5 2007 A brief introduction to classical, statistical, and quantum mechanics. Zbl 1160.00012 Bühler, Oliver 3 2006 Quasi-static state analysis of differential, difference, integral, and gradient systems. Zbl 1218.34001 Hoppensteadt, Frank C. 2 2010 Algebraic curves and one-dimensional fields. Zbl 1027.14012 Bogomolov, F.; Petrov, T. 2 2002 Mathematical methods for analysis of a complex disease. Zbl 1335.92004 Hoppensteadt, Frank C. 1 2011 Mathematical models in developmental biology. Zbl 1336.92002 Percus, Jerome K.; Childress, Stephen 1 2015 A dynamical approach to random matrix theory. Zbl 1379.15003 Erdős, László; Yau, Horng-Tzer 121 2017 Large deviations. Zbl 1377.60006 Varadhan, S. R. S. 12 2016 Mathematical models in developmental biology. Zbl 1336.92002 Percus, Jerome K.; Childress, Stephen 1 2015 Metastability and Markov state models in molecular dynamics. Modeling, analysis, algorithmic approaches. Zbl 1305.60004 Schütte, Christof; Sarich, Marco 46 2013 Elliptic partial differential equations. 2nd ed. Zbl 1210.35031 Han, Qing; Lin, Fanghua 235 2011 Mathematical methods for analysis of a complex disease. Zbl 1335.92004 Hoppensteadt, Frank C. 1 2011 Mathematical analysis of partial differential equations modeling electrostatic MEMS. Zbl 1223.35003 Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin 118 2010 Quasi-static state analysis of differential, difference, integral, and gradient systems. Zbl 1218.34001 Hoppensteadt, Frank C. 2 2010 Random matrix theory. Invariant ensembles and universality. Zbl 1171.15023 Deift, Percy; Gioev, Dimitri 78 2009 An introduction to theoretical fluid mechanics. Zbl 1309.76001 Childress, Stephen 28 2009 Wigner measure and semiclassical limits of nonlinear Schrödinger equations. Zbl 1154.35002 Zhang, Ping 14 2008 Stochastic processes. Zbl 1133.60004 Varadhan, S. R. S. 26 2007 Algebra with Galois theory. Notes by Albert A. Blank. Republishing of the book published 1947 under the title Modern higher algebra. Galois theory. Zbl 1131.12001 Artin, Emil 5 2007 Hyperbolic partial differential equations. Zbl 1113.35002 Lax, Peter D. 80 2006 A brief introduction to classical, statistical, and quantum mechanics. Zbl 1160.00012 Bühler, Oliver 3 2006 Notes on dynamical systems. Zbl 1087.37001 Moser, Jürgen; Zehnder, Eduard J. 67 2005 Supersymmetry for mathematicians: an introduction. Zbl 1142.58009 Varadarajan, V. S. 145 2004 Semilinear Schrödinger equations. Zbl 1055.35003 Cazenave, Thierry 1,521 2003 Introduction to PDEs and waves for the atmosphere and ocean. Zbl 1278.76004 Majda, Andrew 424 2003 Algebraic curves and one-dimensional fields. Zbl 1027.14012 Bogomolov, F.; Petrov, T. 2 2002 Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023 Nirenberg, Louis 183 2001 Probability theory. Zbl 0980.60002 Varadhan, S. R. S. 55 2001 Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. Zbl 0997.47033 Deift, Percy 434 2000 Nonlinear analysis on manifolds: Sobolev spaces and inequalities. Zbl 0981.58006 Hebey, Emmanuel 263 2000 Geometric wave equations. Reprint of the 1998 original. Zbl 1051.35500 Shatah, Jalal; Struwe, Michael 30 2000 Minimal surfaces. Zbl 0987.49025 Colding, Tobias H.; Minicozzi, William P. II 45 1999 Geometric wave equations. Zbl 0993.35001 Shatah, Jalal; Struwe, Michael 171 1998 Elliptic partial differential equations. Zbl 1051.35031 Han, Qing; Lin, Fanghua 124 1997 Elliptic partial differential equations. Reprint of the 1997 orig. Zbl 1052.35505 Han, Qing; Lin, Fanghua 101 1997 all cited Publications top 5 cited Publications all top 5 Cited by 4,414 Authors 36 Feng, Binhua 34 Dinh, Van Duong 33 Carles, Rémi 31 Wu, Jiahong 30 Erdős, László 26 Guo, Yujin 25 Naumkin, Pavel Ivanovich 24 Kuijlaars, Arno B. J. 23 Zhu, Shihui 21 Hayashi, Nakao 21 Ozawa, Tohru 20 Antonelli, Paolo 20 Laurençot, Philippe 19 Yau, Horng-Tzer 19 Zhang, Jian 18 Bao, Weizhu 18 Fioresi, Rita 18 Hoshino, Gaku 18 Murphy, Jason 18 Walker, Christoph 18 Zhao, Dun 17 Titi, Edriss Saleh 16 Claeys, Tom 16 Lubinsky, Doron S. 16 Majda, Andrew J. 16 Wang, Mingxin 16 Yagdjian, Karen 15 Bertola, Marco 15 Byun, Sun-Sig 15 Jeanjean, Louis 15 Miao, Changxing 15 Schütte, Christof 14 Hajaiej, Hichem 14 Ragusa, Maria Alessandra 14 Zheng, Jiqiang 13 Hernandez Ardila, Alex 13 Cao, Chongsheng 13 Guo, Boling 13 Ikeda, Masahiro 13 Martel, Yvan 13 Valovik, Dmitry V. 13 Visciglia, Nicola 12 Dovetta, Simone 12 Inui, Takahisa 12 Kaikina, Elena Igorevna 12 Olver, Sheehan Shakiban 12 Pastor, Ademir 12 Saanouni, Tarek 12 Stechmann, Samuel N. 12 Wang, Zhi-Qiang 12 Yattselev, Maxim L. 12 Zhang, Deng 11 Adami, Riccardo 11 Alouini, Brahim 11 Cui, Shangbin 11 Dias, João-Paulo 11 Forrester, Peter J. 11 Gala, Sadek 11 Georgiev, Vladimir S. 11 Luo, Yong 11 Martínez-Finkelshtein, Andrei 11 Ok, Jihoon 11 Pelinovsky, Dmitry Efimovich 11 Roudenko, Svetlana 11 Sparber, Christof 11 Tentarelli, Lorenzo 11 Trogdon, Thomas 11 Wang, Qingxuan 11 Xu, Guixiang 11 Zhao, Zehua 10 Angulo Pava, Jaime 10 Cuccagna, Scipio 10 Fang, Daoyuan 10 Górka, Przemysław 10 Grava, Tamara 10 Guo, Cuihua 10 He, Fuli 10 Hebey, Emmanuel 10 Hong, Younghun 10 Ku, Min 10 Lawrie, Andrew G. W. 10 Li, Jinkai 10 Marcati, Pierangelo 10 Palin, Vladimir Vladimirovich 10 Rădulescu, Vicenţiu D. 10 Smith, Leslie M. 10 Soave, Nicola 10 Xu, Shuaixia 10 Xu, Xiaojing 10 Yao, Zhengan 10 Zaag, Hatem 10 Zhang, Ting 9 Bégout, Pascal 9 Cho, Yonggeun 9 Correia, Simão 9 Dai, Dan 9 Druet, Olivier 9 Killip, Rowan 9 Klus, Stefan 9 Koltai, Péter ...and 4,314 more Authors all top 5 Cited in 467 Journals 217 Journal of Differential Equations 179 Journal of Mathematical Analysis and Applications 156 Communications in Mathematical Physics 139 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 109 Journal of Mathematical Physics 97 Calculus of Variations and Partial Differential Equations 90 Journal of Functional Analysis 90 Discrete and Continuous Dynamical Systems 69 SIAM Journal on Mathematical Analysis 61 Archive for Rational Mechanics and Analysis 57 Nonlinearity 56 Mathematical Methods in the Applied Sciences 56 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 55 Communications on Pure and Applied Analysis 52 Advances in Mathematics 52 Physica D 46 ZAMP. Zeitschrift für angewandte Mathematik und Physik 46 Transactions of the American Mathematical Society 45 NoDEA. Nonlinear Differential Equations and Applications 44 Nonlinear Analysis. Real World Applications 43 Communications on Pure and Applied Mathematics 43 Journal of Statistical Physics 43 The Journal of Geometric Analysis 40 Proceedings of the American Mathematical Society 40 Journal of Evolution Equations 39 Probability Theory and Related Fields 38 Discrete and Continuous Dynamical Systems. Series B 37 Communications in Partial Differential Equations 34 Journal of Approximation Theory 33 Annales Henri Poincaré 32 Mathematische Annalen 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 Journal of Geometry and Physics 26 Applicable Analysis 26 Mathematische Zeitschrift 26 Constructive Approximation 26 Applied Mathematics Letters 26 Boundary Value Problems 25 Journal of Computational Physics 25 Communications in Contemporary Mathematics 25 Random Matrices: Theory and Applications 24 Journal of Nonlinear Science 24 Acta Mathematica Sinica. English Series 21 Computers & Mathematics with Applications 21 Acta Applicandae Mathematicae 21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 20 Electronic Journal of Probability 19 The Annals of Probability 18 Journal of Dynamics and Differential Equations 18 Discrete and Continuous Dynamical Systems. Series S 17 Chinese Annals of Mathematics. Series B 17 Journal of the European Mathematical Society (JEMS) 17 Science China. Mathematics 16 Applied Mathematics and Computation 16 Journal of Computational and Applied Mathematics 16 Stochastic Processes and their Applications 16 Advances in Nonlinear Analysis 15 Letters in Mathematical Physics 15 Studies in Applied Mathematics 15 Revista Matemática Iberoamericana 15 Journal of Mathematical Sciences (New York) 15 Electronic Journal of Differential Equations (EJDE) 15 Acta Mathematica Scientia. Series B. (English Edition) 15 Journal of Hyperbolic Differential Equations 15 Journal of Physics A: Mathematical and Theoretical 14 Duke Mathematical Journal 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Journal of Mathematical Fluid Mechanics 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Analysis and Applications (Singapore) 14 Complex Variables and Elliptic Equations 14 Evolution Equations and Control Theory 13 Journal of Fluid Mechanics 13 Journal of High Energy Physics 12 Journal d’Analyse Mathématique 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 The Annals of Applied Probability 12 Advanced Nonlinear Studies 12 Analysis and Mathematical Physics 12 Annals of PDE 12 SN Partial Differential Equations and Applications 11 Mathematische Nachrichten 11 Annals of Global Analysis and Geometry 11 Acta Mathematicae Applicatae Sinica. English Series 11 Foundations of Computational Mathematics 10 Mathematics of Computation 10 Inventiones Mathematicae 10 Memoirs of the American Mathematical Society 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Abstract and Applied Analysis 10 Mathematical Physics, Analysis and Geometry 9 Indiana University Mathematics Journal 9 Quarterly of Applied Mathematics 9 The Journal of Fourier Analysis and Applications 9 Journal of Inequalities and Applications 9 Chaos 8 Archiv der Mathematik 8 Monatshefte für Mathematik 8 Numerische Mathematik 8 Osaka Journal of Mathematics ...and 367 more Journals all top 5 Cited in 61 Fields 2,943 Partial differential equations (35-XX) 529 Fluid mechanics (76-XX) 522 Probability theory and stochastic processes (60-XX) 353 Global analysis, analysis on manifolds (58-XX) 339 Quantum theory (81-XX) 312 Dynamical systems and ergodic theory (37-XX) 278 Differential geometry (53-XX) 271 Statistical mechanics, structure of matter (82-XX) 257 Numerical analysis (65-XX) 244 Linear and multilinear algebra; matrix theory (15-XX) 172 Functional analysis (46-XX) 167 Harmonic analysis on Euclidean spaces (42-XX) 165 Operator theory (47-XX) 163 Calculus of variations and optimal control; optimization (49-XX) 155 Ordinary differential equations (34-XX) 136 Special functions (33-XX) 133 Geophysics (86-XX) 110 Functions of a complex variable (30-XX) 109 Optics, electromagnetic theory (78-XX) 104 Biology and other natural sciences (92-XX) 80 Real functions (26-XX) 72 Approximations and expansions (41-XX) 67 Mechanics of particles and systems (70-XX) 66 Mechanics of deformable solids (74-XX) 65 Relativity and gravitational theory (83-XX) 56 Nonassociative rings and algebras (17-XX) 50 Potential theory (31-XX) 49 Systems theory; control (93-XX) 47 Algebraic geometry (14-XX) 46 Combinatorics (05-XX) 44 Several complex variables and analytic spaces (32-XX) 43 Statistics (62-XX) 31 Difference and functional equations (39-XX) 29 Topological groups, Lie groups (22-XX) 24 Integral equations (45-XX) 23 Classical thermodynamics, heat transfer (80-XX) 20 Associative rings and algebras (16-XX) 20 Measure and integration (28-XX) 19 Computer science (68-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Information and communication theory, circuits (94-XX) 14 Number theory (11-XX) 14 Operations research, mathematical programming (90-XX) 13 Astronomy and astrophysics (85-XX) 12 Group theory and generalizations (20-XX) 10 Manifolds and cell complexes (57-XX) 7 Category theory; homological algebra (18-XX) 7 Integral transforms, operational calculus (44-XX) 7 Geometry (51-XX) 6 History and biography (01-XX) 6 Abstract harmonic analysis (43-XX) 5 Commutative algebra (13-XX) 5 \(K\)-theory (19-XX) 5 Algebraic topology (55-XX) 4 Mathematical logic and foundations (03-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Citations by Year