Edit Profile (opens in new tab) Rodnianski, Igor Compute Distance To: Compute Author ID: rodnianski.igor Published as: Rodnianski, Igor; Rodnianski, I. Homepage: https://www.math.princeton.edu/people/igor-rodnianski External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 68 Publications since 1996 1 Contribution as Editor Co-Authors: 25 Co-Authors with 64 Joint Publications 658 Co-Co-Authors all top 5 Co-Authors 5 single-authored 22 Klainerman, Sergiu 10 Dafermos, Mihalis 5 Raphael, Pierre 5 Szeftel, Jérémie 4 Kapitanski, Lev 4 Merle, Frank 4 Speck, Jared 4 Tao, Terence 3 Lindblad, Hans 3 Luk, Jonathan 3 Schlag, Wilhelm 3 Shlapentokh-Rothman, Yakov 2 Holzegel, Gustav 2 Staffilani, Gigliola 1 Chen, Thomas M. 1 Ellwood, David Alexandre 1 Grenier, Emmanuel 1 Kaloshin, Vadim Yu. 1 Nguyen, Toan Trong 1 Rubinstein, Yanir A. 1 Schlein, Benjamin 1 Soffer, Avraham 1 Sterbenz, Jacob 1 Wunsch, Jared 1 Yajima, Kenji all top 5 Serials 8 Inventiones Mathematicae 6 Annals of Mathematics. Second Series 4 Communications in Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 Geometric and Functional Analysis. GAFA 3 IMRN. International Mathematics Research Notices 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Hyperbolic Differential Equations 2 Acta Mathematica 2 Journal of the American Mathematical Society 2 Cambridge Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Topological Methods in Nonlinear Analysis 1 Séminaire Équations aux Dérivées Partielles 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Clay Mathematics Proceedings 1 Analysis & PDE 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 62 Partial differential equations (35-XX) 34 Relativity and gravitational theory (83-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Differential geometry (53-XX) 10 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 2 Functional analysis (46-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 1,960 times in 1,093 Documents Cited by ▼ Year ▼ Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035Rodnianski, Igor; Schlag, Wilhelm 130 2004 Quantum fluctuations and rate of convergence towards mean field dynamics. Zbl 1186.82051Rodnianski, Igor; Schlein, Benjamin 111 2009 The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066Lindblad, Hans; Rodnianski, Igor 107 2010 The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008Dafermos, Mihalis; Rodnianski, Igor 102 2009 A new physical-space approach to decay for the wave equation with applications to black hole spacetimes. Zbl 1211.83019Dafermos, Mihalis; Rodnianski, Igor 74 2010 Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358Raphaël, Pierre; Rodnianski, Igor 72 2012 Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\). Zbl 1347.83002Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov 71 2016 Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003Lindblad, Hans; Rodnianski, Igor 71 2005 A proof of Price’s law for the collapse of a self-gravitating scalar field. Zbl 1088.83008Dafermos, Mihalis; Rodnianski, Igor 70 2005 On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model. Zbl 1213.35392Rodnianski, Igor; Sterbenz, Jacob 68 2010 Lectures on black holes and linear waves. Zbl 1300.83004Dafermos, Mihalis; Rodnianski, Igor 55 2013 A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds. Zbl 1226.83029Dafermos, Mihalis; Rodnianski, Igor 51 2011 The bounded \(L^2\) curvature conjecture. Zbl 1330.53089Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie 49 2015 The linear stability of the Schwarzschild solution to gravitational perturbations. Zbl 1419.83023Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 48 2019 Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 47 2013 The weak null condition for Einstein’s equations. Zbl 1045.35101Lindblad, Hans; Rodnianski, Igor 47 2003 Dispersive analysis of charge transfer models. Zbl 1130.81053Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 45 2005 The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant. Zbl 1294.35164Rodnianski, Igor; Speck, Jared 43 2013 Shape and Morse theory of attractors. Zbl 1026.37007Kapitanski, Lev; Rodnianski, Igor 42 2000 Effective limiting absorption principles, and applications. Zbl 1310.35204Rodnianski, Igor; Tao, Terence 37 2015 A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080Klainerman, S.; Rodnianski, I. 32 2006 Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006Klainerman, Sergiu; Rodnianski, Igor 31 2005 On the formation of trapped surfaces. Zbl 1246.83028Klainerman, Sergiu; Rodnianski, Igor 30 2012 Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\). Zbl 1428.35585Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 30 2019 Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091Klainerman, S.; Rodnianski, I. 29 2003 Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018Klainerman, Sergiu; Rodnianski, Igor 29 2005 On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009Klainerman, Sergiu; Rodnianski, Igor 27 2001 Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions. Zbl 1106.35073Rodnianski, Igor; Tao, Terence 24 2004 On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji 24 1997 A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation. Zbl 1384.83005Rodnianski, Igor; Speck, Jared 23 2018 Local propagation of impulsive gravitational waves. Zbl 1316.35281Luk, Jonathan; Rodnianski, Igor 22 2015 Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems. Zbl 1402.83120Rodnianski, Igor; Speck, Jared 22 2018 A scattering theory for the wave equation on Kerr black hole exteriors. Zbl 06929271Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov 21 2018 On the breakdown criterion in general relativity. Zbl 1203.35084Klainerman, Sergiu; Rodnianski, Igor 20 2010 Type II blow up for the energy supercritical NLS. Zbl 1347.35215Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 19 2015 Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069Dafermos, Mihalis; Rodnianski, Igor 18 2005 Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map. (Dynamique explosive de solutions régulières équivariantes de l’application de Schrödinger map.) Zbl 1213.35139Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 17 2011 On the radius of injectivity of null hypersurfaces. Zbl 1198.53057Klainerman, Sergiu; Rodnianski, Igor 17 2008 Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308Luk, Jonathan; Rodnianski, Igor 17 2017 Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081Klainerman, S.; Rodnianski, I. 16 2006 On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola 16 2009 A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor 14 2014 Longtime decay estimates for the Schrödinger equation on manifolds. Zbl 1133.35022Rodnianski, Igor; Tao, Terence C. 13 2007 Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059Rodnianski, Igor; Schlag, Wilhelm 12 2003 The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007Klainerman, Sergiu; Rodnianski, Igor 12 2005 A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042Klainerman, Sergiu; Rodnianski, Igor 12 2007 Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051Klainerman, Sergiu; Rodnianski, Igor 10 2004 Diophantine properties of elements of \(SO(3)\). Zbl 1037.11051Kaloshin, V.; Rodnianski, I. 8 2001 On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225Klainerman, Sergiu; Rodnianski, Igor 8 2010 Regulated smoothing for Schrödinger evolution. Zbl 0859.35146Kapitanski, Lev; Rodnianski, Igor 7 1996 Fractal solutions of the Schrödinger equation. Zbl 1054.81018Rodnianski, Igor 7 2000 Does a quantum particle know the time? Zbl 1071.81516Kapitanski, Lev; Rodnianski, Igor 6 1999 Rough solutions of the Einstein vacuum equations. Zbl 1008.35079Klainerman, Sergiu; Rodnianski, Igor 6 2002 Bilinear estimates on curved space-times. Zbl 1284.58018Klainerman, Sergiu; Rodnianski, Igor 5 2005 A physical space approach to wave equation bilinear estimates. Zbl 1028.35111Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence 5 2002 The asymptotically self-similar regime for the Einstein vacuum equations. Zbl 1394.35501Rodnianski, Igor; Shlapentokh-Rothman, Yakov 4 2018 On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 07470584Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie 2 2022 The Cauchy problem in General Relativity. Zbl 1130.83005Rodnianski, Igor 2 2006 Sharp \(L^1\) estimates for singular transport equations. Zbl 1144.35358Klainerman, Sergiu; Rodnianski, Igor 2 2008 On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data. Zbl 07499430Rodnianski, Igor; Speck, Jared 1 2022 On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 07470584Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie 2 2022 On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data. Zbl 07499430Rodnianski, Igor; Speck, Jared 1 2022 The linear stability of the Schwarzschild solution to gravitational perturbations. Zbl 1419.83023Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 48 2019 Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\). Zbl 1428.35585Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 30 2019 A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation. Zbl 1384.83005Rodnianski, Igor; Speck, Jared 23 2018 Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems. Zbl 1402.83120Rodnianski, Igor; Speck, Jared 22 2018 A scattering theory for the wave equation on Kerr black hole exteriors. Zbl 06929271Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov 21 2018 The asymptotically self-similar regime for the Einstein vacuum equations. Zbl 1394.35501Rodnianski, Igor; Shlapentokh-Rothman, Yakov 4 2018 Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308Luk, Jonathan; Rodnianski, Igor 17 2017 Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\). Zbl 1347.83002Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov 71 2016 The bounded \(L^2\) curvature conjecture. Zbl 1330.53089Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie 49 2015 Effective limiting absorption principles, and applications. Zbl 1310.35204Rodnianski, Igor; Tao, Terence 37 2015 Local propagation of impulsive gravitational waves. Zbl 1316.35281Luk, Jonathan; Rodnianski, Igor 22 2015 Type II blow up for the energy supercritical NLS. Zbl 1347.35215Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 19 2015 A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor 14 2014 Lectures on black holes and linear waves. Zbl 1300.83004Dafermos, Mihalis; Rodnianski, Igor 55 2013 Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 47 2013 The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant. Zbl 1294.35164Rodnianski, Igor; Speck, Jared 43 2013 Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358Raphaël, Pierre; Rodnianski, Igor 72 2012 On the formation of trapped surfaces. Zbl 1246.83028Klainerman, Sergiu; Rodnianski, Igor 30 2012 A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds. Zbl 1226.83029Dafermos, Mihalis; Rodnianski, Igor 51 2011 Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map. (Dynamique explosive de solutions régulières équivariantes de l’application de Schrödinger map.) Zbl 1213.35139Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 17 2011 The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066Lindblad, Hans; Rodnianski, Igor 107 2010 A new physical-space approach to decay for the wave equation with applications to black hole spacetimes. Zbl 1211.83019Dafermos, Mihalis; Rodnianski, Igor 74 2010 On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model. Zbl 1213.35392Rodnianski, Igor; Sterbenz, Jacob 68 2010 On the breakdown criterion in general relativity. Zbl 1203.35084Klainerman, Sergiu; Rodnianski, Igor 20 2010 On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225Klainerman, Sergiu; Rodnianski, Igor 8 2010 Quantum fluctuations and rate of convergence towards mean field dynamics. Zbl 1186.82051Rodnianski, Igor; Schlein, Benjamin 111 2009 The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008Dafermos, Mihalis; Rodnianski, Igor 102 2009 On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola 16 2009 On the radius of injectivity of null hypersurfaces. Zbl 1198.53057Klainerman, Sergiu; Rodnianski, Igor 17 2008 Sharp \(L^1\) estimates for singular transport equations. Zbl 1144.35358Klainerman, Sergiu; Rodnianski, Igor 2 2008 Longtime decay estimates for the Schrödinger equation on manifolds. Zbl 1133.35022Rodnianski, Igor; Tao, Terence C. 13 2007 A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042Klainerman, Sergiu; Rodnianski, Igor 12 2007 A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080Klainerman, S.; Rodnianski, I. 32 2006 Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081Klainerman, S.; Rodnianski, I. 16 2006 The Cauchy problem in General Relativity. Zbl 1130.83005Rodnianski, Igor 2 2006 Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003Lindblad, Hans; Rodnianski, Igor 71 2005 A proof of Price’s law for the collapse of a self-gravitating scalar field. Zbl 1088.83008Dafermos, Mihalis; Rodnianski, Igor 70 2005 Dispersive analysis of charge transfer models. Zbl 1130.81053Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 45 2005 Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006Klainerman, Sergiu; Rodnianski, Igor 31 2005 Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018Klainerman, Sergiu; Rodnianski, Igor 29 2005 Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069Dafermos, Mihalis; Rodnianski, Igor 18 2005 The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007Klainerman, Sergiu; Rodnianski, Igor 12 2005 Bilinear estimates on curved space-times. Zbl 1284.58018Klainerman, Sergiu; Rodnianski, Igor 5 2005 Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035Rodnianski, Igor; Schlag, Wilhelm 130 2004 Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions. Zbl 1106.35073Rodnianski, Igor; Tao, Terence 24 2004 Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051Klainerman, Sergiu; Rodnianski, Igor 10 2004 The weak null condition for Einstein’s equations. Zbl 1045.35101Lindblad, Hans; Rodnianski, Igor 47 2003 Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091Klainerman, S.; Rodnianski, I. 29 2003 Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059Rodnianski, Igor; Schlag, Wilhelm 12 2003 Rough solutions of the Einstein vacuum equations. Zbl 1008.35079Klainerman, Sergiu; Rodnianski, Igor 6 2002 A physical space approach to wave equation bilinear estimates. Zbl 1028.35111Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence 5 2002 On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009Klainerman, Sergiu; Rodnianski, Igor 27 2001 Diophantine properties of elements of \(SO(3)\). Zbl 1037.11051Kaloshin, V.; Rodnianski, I. 8 2001 Shape and Morse theory of attractors. Zbl 1026.37007Kapitanski, Lev; Rodnianski, Igor 42 2000 Fractal solutions of the Schrödinger equation. Zbl 1054.81018Rodnianski, Igor 7 2000 Does a quantum particle know the time? Zbl 1071.81516Kapitanski, Lev; Rodnianski, Igor 6 1999 On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji 24 1997 Regulated smoothing for Schrödinger evolution. Zbl 0859.35146Kapitanski, Lev; Rodnianski, Igor 7 1996 all cited Publications top 5 cited Publications all top 5 Cited by 917 Authors 34 Rodnianski, Igor 22 Soffer, Avraham 19 Tataru, Daniel 18 Klainerman, Sergiu 18 Merle, Frank 18 Speck, Jared 17 Raphael, Pierre 16 Krieger, Joachim 16 Oh, Sung-Jin 15 Lindblad, Hans 15 Luk, Jonathan 15 Schlag, Wilhelm 14 Donninger, Roland 14 Pickl, Peter 14 Sanjurjo, José M. R. 14 Schlein, Benjamin 12 Aretakis, Stefanos 12 Gajic, Dejan 12 Goldberg, Michael Joseph 12 Martel, Yvan 12 Smulevici, Jacques 11 Dafermos, Mihalis 11 D’Ancona, Piero 11 Erdoğan, Mehmet Burak 10 Barge Yáñez, Héctor 10 Chen, Thomas M. 10 Metcalfe, Jason L. 10 Szeftel, Jérémie 10 Tohaneanu, Mihai 10 Wang, Qian 10 Yang, Shiwu 10 Zha, Dongbing 9 Angelopoulos, Yannis 9 Costa, João Lopes 9 Fajman, David 9 Holzegel, Gustav 9 Kenig, Carlos Eduardo 9 Machedon, Matei 9 Shlapentokh-Rothman, Yakov 8 Green, William R. 8 Grillakis, Manoussos G. 8 Ionescu, Alexandru D. 8 LeFloch, Philippe Gerard 8 Mizutani, Haruya 8 Oliynyk, Todd Andrew 8 Pavlović, Nataša 8 Zaag, Hatem 7 Beceanu, Marius 7 Chruściel, Piotr Tadeusz 7 Danca, Marius-Florin 7 Hintz, Peter 7 Lawrie, Andrew G. W. 7 Li, Ze 7 Natário, José 7 Stefanov, Atanas G. 7 Sterbenz, Jacob 7 Vasy, András 7 Vega, Luis 7 Wang, Youde 7 Wei, Changhua 7 Wei, Juncheng 7 Yajima, Kenji 7 Zhang, Junyong 6 Blue, Pieter 6 Chen, Gong 6 Collot, Charles 6 Fanelli, Luca 6 Häfner, Dietrich 6 Hong, Younghun 6 Li, Junbin 6 Nguyen, Van Tien 6 Nicolas, Jean-Philippe 6 Phan Thành Nam 6 Rendall, Alan D. 6 Sigal, Israel Michael 6 Sohinger, Vedran 6 Tao, Terence 6 Yao, Xiaohua 6 Yu, Pin 6 Zheng, Jiqiang 6 Zhong, Penghong 5 Carles, Rémi 5 Chen, Li 5 Chen, Xuwen 5 Erdős, László 5 Fröhlich, Jürg Martin 5 Ghoul, Tej-Eddine 5 Giorgi, Elena Edi 5 Giraldo, Antonio 5 Golse, François 5 Hadzic, Mahir 5 Hilditch, David 5 Komech, Alexander Ilich 5 Kopylova, Elena A. 5 Lee, Jinyeop 5 Lewin, Mathieu 5 Li, Desheng 5 Lührmann, Jonas 5 Petrat, Sören 5 Rougerie, Nicolas ...and 817 more Authors all top 5 Cited in 181 Serials 142 Communications in Mathematical Physics 66 Annales Henri Poincaré 47 Journal of Functional Analysis 42 Annals of PDE 38 Journal of Mathematical Physics 30 Classical and Quantum Gravity 30 Journal of Hyperbolic Differential Equations 29 Journal of Differential Equations 28 Communications in Partial Differential Equations 27 Advances in Mathematics 24 Archive for Rational Mechanics and Analysis 23 Inventiones Mathematicae 22 Transactions of the American Mathematical Society 17 Communications on Pure and Applied Mathematics 16 Discrete and Continuous Dynamical Systems 13 Letters in Mathematical Physics 13 Duke Mathematical Journal 13 Mathematische Annalen 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 SIAM Journal on Mathematical Analysis 13 Journal of the European Mathematical Society (JEMS) 12 Journal of Statistical Physics 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Séminaire Laurent Schwartz. EDP et Applications 11 General Relativity and Gravitation 11 Reviews in Mathematical Physics 11 Annals of Mathematics. Second Series 11 Journal of High Energy Physics 10 Memoirs of the American Mathematical Society 10 Journal of the American Mathematical Society 10 Bulletin of the American Mathematical Society. New Series 10 Analysis & PDE 9 Journal of Mathematical Analysis and Applications 9 Proceedings of the American Mathematical Society 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Calculus of Variations and Partial Differential Equations 8 Communications on Pure and Applied Analysis 6 Geometric and Functional Analysis. GAFA 6 Selecta Mathematica. New Series 5 Journal of the Mathematical Society of Japan 5 The Journal of Fourier Analysis and Applications 5 Acta Mathematica Sinica. English Series 5 Living Reviews in Relativity 5 Journal of Fixed Point Theory and Applications 4 Journal d’Analyse Mathématique 4 Journal of Geometry and Physics 4 Annales de l’Institut Fourier 4 Topology and its Applications 4 Physica D 4 The Journal of Geometric Analysis 4 Journal of Evolution Equations 4 Science China. Mathematics 3 Russian Mathematical Surveys 3 Acta Mathematica 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Publications Mathématiques 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Quarterly of Applied Mathematics 3 Annals of Global Analysis and Geometry 3 Forum Mathematicum 3 Mathematical Physics, Analysis and Geometry 3 Communications in Contemporary Mathematics 3 Analysis in Theory and Applications 3 Journal of Cosmology and Astroparticle Physics 3 Journal of Spectral Theory 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Applied Mathematics and Computation 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Chinese Annals of Mathematics. Series B 2 European Journal of Applied Mathematics 2 Differential Geometry and its Applications 2 Annals of Physics 2 Nonlinear Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Advances in Difference Equations 2 Journal of Pseudo-Differential Operators and Applications 2 Forum of Mathematics, Sigma 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Pure and Applied Analysis 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Moscow University Mathematics Bulletin 1 Physics Letters. B 1 Physics Reports 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Mathematics of Computation 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 81 more Serials all top 5 Cited in 48 Fields 850 Partial differential equations (35-XX) 359 Relativity and gravitational theory (83-XX) 226 Quantum theory (81-XX) 149 Differential geometry (53-XX) 110 Global analysis, analysis on manifolds (58-XX) 95 Dynamical systems and ergodic theory (37-XX) 82 Statistical mechanics, structure of matter (82-XX) 53 Operator theory (47-XX) 53 Fluid mechanics (76-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 28 Mechanics of particles and systems (70-XX) 18 General topology (54-XX) 18 Optics, electromagnetic theory (78-XX) 17 Functional analysis (46-XX) 16 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 12 Probability theory and stochastic processes (60-XX) 10 Astronomy and astrophysics (85-XX) 9 Mechanics of deformable solids (74-XX) 8 Measure and integration (28-XX) 7 Algebraic geometry (14-XX) 6 Real functions (26-XX) 6 Algebraic topology (55-XX) 5 History and biography (01-XX) 5 Topological groups, Lie groups (22-XX) 5 Manifolds and cell complexes (57-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 4 Abstract harmonic analysis (43-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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