## Rodnianski, Igor

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1063.35035
Rodnianski, Igor; Schlag, Wilhelm
2004
Quantum fluctuations and rate of convergence towards mean field dynamics. Zbl 1186.82051
Rodnianski, Igor; Schlein, Benjamin
2009
The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066
2010
The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008
Dafermos, Mihalis; Rodnianski, Igor
2009
A new physical-space approach to decay for the wave equation with applications to black hole spacetimes. Zbl 1211.83019
Dafermos, Mihalis; Rodnianski, Igor
2010
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358
Raphaël, Pierre; Rodnianski, Igor
2012
Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase $$|a| < M$$. Zbl 1347.83002
Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov
2016
Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003
2005
A proof of Price’s law for the collapse of a self-gravitating scalar field. Zbl 1088.83008
Dafermos, Mihalis; Rodnianski, Igor
2005
On the formation of singularities in the critical $$O(3)$$ $$\sigma$$-model. Zbl 1213.35392
Rodnianski, Igor; Sterbenz, Jacob
2010
Lectures on black holes and linear waves. Zbl 1300.83004
Dafermos, Mihalis; Rodnianski, Igor
2013
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds. Zbl 1226.83029
Dafermos, Mihalis; Rodnianski, Igor
2011
The bounded $$L^2$$ curvature conjecture. Zbl 1330.53089
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie
2015
The linear stability of the Schwarzschild solution to gravitational perturbations. Zbl 1419.83023
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
2019
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2013
The weak null condition for Einstein’s equations. Zbl 1045.35101
2003
Dispersive analysis of charge transfer models. Zbl 1130.81053
Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham
2005
The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant. Zbl 1294.35164
Rodnianski, Igor; Speck, Jared
2013
Shape and Morse theory of attractors. Zbl 1026.37007
Kapitanski, Lev; Rodnianski, Igor
2000
Effective limiting absorption principles, and applications. Zbl 1310.35204
Rodnianski, Igor; Tao, Terence
2015
A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080
Klainerman, S.; Rodnianski, I.
2006
Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006
Klainerman, Sergiu; Rodnianski, Igor
2005
On the formation of trapped surfaces. Zbl 1246.83028
Klainerman, Sergiu; Rodnianski, Igor
2012
Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case $$|a|\ll M$$. Zbl 1428.35585
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
2019
Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091
Klainerman, S.; Rodnianski, I.
2003
Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018
Klainerman, Sergiu; Rodnianski, Igor
2005
On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009
Klainerman, Sergiu; Rodnianski, Igor
2001
Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions. Zbl 1106.35073
Rodnianski, Igor; Tao, Terence
2004
On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035
Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji
1997
A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation. Zbl 1384.83005
Rodnianski, Igor; Speck, Jared
2018
Local propagation of impulsive gravitational waves. Zbl 1316.35281
Luk, Jonathan; Rodnianski, Igor
2015
Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems. Zbl 1402.83120
Rodnianski, Igor; Speck, Jared
2018
A scattering theory for the wave equation on Kerr black hole exteriors. Zbl 06929271
Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov
2018
On the breakdown criterion in general relativity. Zbl 1203.35084
Klainerman, Sergiu; Rodnianski, Igor
2010
Type II blow up for the energy supercritical NLS. Zbl 1347.35215
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2015
Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069
Dafermos, Mihalis; Rodnianski, Igor
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 1213.35139
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2011
On the radius of injectivity of null hypersurfaces. Zbl 1198.53057
Klainerman, Sergiu; Rodnianski, Igor
2008
Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308
Luk, Jonathan; Rodnianski, Igor
2017
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081
Klainerman, S.; Rodnianski, I.
2006
On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258
Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola
2009
A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311
Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor
2014
Longtime decay estimates for the Schrödinger equation on manifolds. Zbl 1133.35022
Rodnianski, Igor; Tao, Terence C.
2007
Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059
Rodnianski, Igor; Schlag, Wilhelm
2003
The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007
Klainerman, Sergiu; Rodnianski, Igor
2005
A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042
Klainerman, Sergiu; Rodnianski, Igor
2007
Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051
Klainerman, Sergiu; Rodnianski, Igor
2004
Diophantine properties of elements of $$SO(3)$$. Zbl 1037.11051
Kaloshin, V.; Rodnianski, I.
2001
On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225
Klainerman, Sergiu; Rodnianski, Igor
2010
Regulated smoothing for Schrödinger evolution. Zbl 0859.35146
Kapitanski, Lev; Rodnianski, Igor
1996
Fractal solutions of the Schrödinger equation. Zbl 1054.81018
Rodnianski, Igor
2000
Does a quantum particle know the time? Zbl 1071.81516
Kapitanski, Lev; Rodnianski, Igor
1999
Rough solutions of the Einstein vacuum equations. Zbl 1008.35079
Klainerman, Sergiu; Rodnianski, Igor
2002
Bilinear estimates on curved space-times. Zbl 1284.58018
Klainerman, Sergiu; Rodnianski, Igor
2005
A physical space approach to wave equation bilinear estimates. Zbl 1028.35111
Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence
2002
The asymptotically self-similar regime for the Einstein vacuum equations. Zbl 1394.35501
Rodnianski, Igor; Shlapentokh-Rothman, Yakov
2018
On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 07470584
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie
2022
The Cauchy problem in General Relativity. Zbl 1130.83005
Rodnianski, Igor
2006
Sharp $$L^1$$ estimates for singular transport equations. Zbl 1144.35358
Klainerman, Sergiu; Rodnianski, Igor
2008
On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data. Zbl 07499430
Rodnianski, Igor; Speck, Jared
2022
On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 07470584
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie
2022
On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data. Zbl 07499430
Rodnianski, Igor; Speck, Jared
2022
The linear stability of the Schwarzschild solution to gravitational perturbations. Zbl 1419.83023
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
2019
Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case $$|a|\ll M$$. Zbl 1428.35585
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
2019
A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation. Zbl 1384.83005
Rodnianski, Igor; Speck, Jared
2018
Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems. Zbl 1402.83120
Rodnianski, Igor; Speck, Jared
2018
A scattering theory for the wave equation on Kerr black hole exteriors. Zbl 06929271
Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov
2018
The asymptotically self-similar regime for the Einstein vacuum equations. Zbl 1394.35501
Rodnianski, Igor; Shlapentokh-Rothman, Yakov
2018
Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308
Luk, Jonathan; Rodnianski, Igor
2017
Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase $$|a| < M$$. Zbl 1347.83002
Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov
2016
The bounded $$L^2$$ curvature conjecture. Zbl 1330.53089
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie
2015
Effective limiting absorption principles, and applications. Zbl 1310.35204
Rodnianski, Igor; Tao, Terence
2015
Local propagation of impulsive gravitational waves. Zbl 1316.35281
Luk, Jonathan; Rodnianski, Igor
2015
Type II blow up for the energy supercritical NLS. Zbl 1347.35215
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2015
A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311
Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor
2014
Lectures on black holes and linear waves. Zbl 1300.83004
Dafermos, Mihalis; Rodnianski, Igor
2013
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2013
The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant. Zbl 1294.35164
Rodnianski, Igor; Speck, Jared
2013
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358
Raphaël, Pierre; Rodnianski, Igor
2012
On the formation of trapped surfaces. Zbl 1246.83028
Klainerman, Sergiu; Rodnianski, Igor
2012
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds. Zbl 1226.83029
Dafermos, Mihalis; Rodnianski, Igor
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 1213.35139
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2011
The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066
2010
A new physical-space approach to decay for the wave equation with applications to black hole spacetimes. Zbl 1211.83019
Dafermos, Mihalis; Rodnianski, Igor
2010
On the formation of singularities in the critical $$O(3)$$ $$\sigma$$-model. Zbl 1213.35392
Rodnianski, Igor; Sterbenz, Jacob
2010
On the breakdown criterion in general relativity. Zbl 1203.35084
Klainerman, Sergiu; Rodnianski, Igor
2010
On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225
Klainerman, Sergiu; Rodnianski, Igor
2010
Quantum fluctuations and rate of convergence towards mean field dynamics. Zbl 1186.82051
Rodnianski, Igor; Schlein, Benjamin
2009
The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008
Dafermos, Mihalis; Rodnianski, Igor
2009
On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258
Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola
2009
On the radius of injectivity of null hypersurfaces. Zbl 1198.53057
Klainerman, Sergiu; Rodnianski, Igor
2008
Sharp $$L^1$$ estimates for singular transport equations. Zbl 1144.35358
Klainerman, Sergiu; Rodnianski, Igor
2008
Longtime decay estimates for the Schrödinger equation on manifolds. Zbl 1133.35022
Rodnianski, Igor; Tao, Terence C.
2007
A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042
Klainerman, Sergiu; Rodnianski, Igor
2007
A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080
Klainerman, S.; Rodnianski, I.
2006
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081
Klainerman, S.; Rodnianski, I.
2006
The Cauchy problem in General Relativity. Zbl 1130.83005
Rodnianski, Igor
2006
Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003
2005
A proof of Price’s law for the collapse of a self-gravitating scalar field. Zbl 1088.83008
Dafermos, Mihalis; Rodnianski, Igor
2005
Dispersive analysis of charge transfer models. Zbl 1130.81053
Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham
2005
Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006
Klainerman, Sergiu; Rodnianski, Igor
2005
Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018
Klainerman, Sergiu; Rodnianski, Igor
2005
Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069
Dafermos, Mihalis; Rodnianski, Igor
2005
The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007
Klainerman, Sergiu; Rodnianski, Igor
2005
Bilinear estimates on curved space-times. Zbl 1284.58018
Klainerman, Sergiu; Rodnianski, Igor
2005
Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035
Rodnianski, Igor; Schlag, Wilhelm
2004
Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions. Zbl 1106.35073
Rodnianski, Igor; Tao, Terence
2004
Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051
Klainerman, Sergiu; Rodnianski, Igor
2004
The weak null condition for Einstein’s equations. Zbl 1045.35101
2003
Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091
Klainerman, S.; Rodnianski, I.
2003
Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059
Rodnianski, Igor; Schlag, Wilhelm
2003
Rough solutions of the Einstein vacuum equations. Zbl 1008.35079
Klainerman, Sergiu; Rodnianski, Igor
2002
A physical space approach to wave equation bilinear estimates. Zbl 1028.35111
Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence
2002
On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009
Klainerman, Sergiu; Rodnianski, Igor
2001
Diophantine properties of elements of $$SO(3)$$. Zbl 1037.11051
Kaloshin, V.; Rodnianski, I.
2001
Shape and Morse theory of attractors. Zbl 1026.37007
Kapitanski, Lev; Rodnianski, Igor
2000
Fractal solutions of the Schrödinger equation. Zbl 1054.81018
Rodnianski, Igor
2000
Does a quantum particle know the time? Zbl 1071.81516
Kapitanski, Lev; Rodnianski, Igor
1999
On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035
Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji
1997
Regulated smoothing for Schrödinger evolution. Zbl 0859.35146
Kapitanski, Lev; Rodnianski, Igor
1996
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)

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