Edit Profile (opens in new tab) Rodnianski, Igor Co-Author Distance Author ID: rodnianski.igor Published as: Rodnianski, Igor; Rodnianski, I. Homepage: https://www.math.princeton.edu/people/igor-rodnianski External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 92 Publications since 1996, including 18 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 29 Co-Authors with 88 Joint Publications 784 Co-Co-Authors all top 5 Co-Authors 5 single-authored 24 Klainerman, Sergiu 17 Dafermos, Mihalis 10 Szeftel, Jérémie 9 Raphael, Pierre 8 Merle, Frank 5 Holzegel, Gustav 5 Speck, Jared 4 Czimek, Stefan 4 Kapitanski, Lev 4 Luk, Jonathan 4 Schlag, Wilhelm 4 Shlapentokh-Rothman, Yakov 4 Tao, Terence 3 Aretakis, Stefanos 3 Lindblad, Hans 2 Grenier, Emmanuel 2 Nguyen, Toan Trong 2 Soffer, Avraham 2 Staffilani, Gigliola 2 Sterbenz, Jacob 1 Bringmann, Björn 1 Chen, Thomas 1 Ellwood, David Alexandre 1 Fournodavlos, Grigorios 1 Kaloshin, Vadim Yu. 1 Rubinstein, Yanir A. 1 Schlein, Benjamin 1 Wunsch, Jared 1 Yajima, Kenji all top 5 Serials 9 Annals of Mathematics. Second Series 8 Inventiones Mathematicae 5 Communications in Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 Geometric and Functional Analysis. GAFA 3 Journal of the American Mathematical Society 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 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 Mathematical Research Letters 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 72 Partial differential equations (35-XX) 37 Relativity and gravitational theory (83-XX) 17 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-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 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 2,676 times in 1,394 Documents Cited by ▼ Year ▼ Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035 Rodnianski, Igor; Schlag, Wilhelm 151 2004 The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066 Lindblad, Hans; Rodnianski, Igor 142 2010 The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008 Dafermos, Mihalis; Rodnianski, Igor 129 2009 Quantum fluctuations and rate of convergence towards mean field dynamics. Zbl 1186.82051 Rodnianski, Igor; Schlein, Benjamin 122 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 117 2010 Lectures on black holes and linear waves. Zbl 1300.83004 Dafermos, Mihalis; Rodnianski, Igor 113 2013 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 107 2016 Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358 Raphaël, Pierre; Rodnianski, Igor 101 2012 On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model. Zbl 1213.35392 Rodnianski, Igor; Sterbenz, Jacob 91 2010 Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003 Lindblad, Hans; Rodnianski, Igor 88 2005 The linear stability of the Schwarzschild solution to gravitational perturbations. Zbl 1419.83023 Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 87 2019 A proof of Price’s law for the collapse of a self-gravitating scalar field. Zbl 1088.83008 Dafermos, Mihalis; Rodnianski, Igor 84 2005 The bounded \(L^2\) curvature conjecture. Zbl 1330.53089 Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie 67 2015 The weak null condition for Einstein’s equations. Zbl 1045.35101 Lindblad, Hans; Rodnianski, Igor 64 2003 Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052 Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 63 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 59 2011 Dispersive analysis of charge transfer models. Zbl 1130.81053 Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 57 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 55 2013 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 51 2019 Shape and Morse theory of attractors. Zbl 1026.37007 Kapitanski, Lev; Rodnianski, Igor 49 2000 Effective limiting absorption principles, and applications. Zbl 1310.35204 Rodnianski, Igor; Tao, Terence 48 2015 A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080 Klainerman, S.; Rodnianski, I. 40 2006 Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006 Klainerman, Sergiu; Rodnianski, Igor 37 2005 On the formation of trapped surfaces. Zbl 1246.83028 Klainerman, Sergiu; Rodnianski, Igor 37 2012 Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091 Klainerman, S.; Rodnianski, I. 37 2003 Local propagation of impulsive gravitational waves. Zbl 1316.35281 Luk, Jonathan; Rodnianski, Igor 35 2015 Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018 Klainerman, Sergiu; Rodnianski, Igor 34 2005 On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009 Klainerman, Sergiu; Rodnianski, Igor 32 2001 A scattering theory for the wave equation on Kerr black hole exteriors. Zbl 1508.83015 Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov 32 2018 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 31 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 31 2018 Type II blow up for the energy supercritical NLS. Zbl 1347.35215 Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 28 2015 Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions. Zbl 1106.35073 Rodnianski, Igor; Tao, Terence 27 2004 Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308 Luk, Jonathan; Rodnianski, Igor 26 2017 On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035 Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji 25 1997 On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258 Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola 23 2009 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 23 2011 On the breakdown criterion in general relativity. Zbl 1203.35084 Klainerman, Sergiu; Rodnianski, Igor 23 2010 Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069 Dafermos, Mihalis; Rodnianski, Igor 22 2005 Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081 Klainerman, S.; Rodnianski, I. 21 2006 On the radius of injectivity of null hypersurfaces. Zbl 1198.53057 Klainerman, Sergiu; Rodnianski, Igor 20 2008 A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311 Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor 18 2014 On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 1487.35353 Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie 16 2022 On the implosion of a compressible fluid. II: Singularity formation. Zbl 1497.35385 Merle, Frank; Rapha\'’el, Pierre; Rodnianski, Igor; Szeftel, Jeremie 16 2022 The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007 Klainerman, Sergiu; Rodnianski, Igor 15 2005 Longtime decay estimates for the Schrödinger equation on manifolds. Zbl 1133.35022 Rodnianski, Igor; Tao, Terence C. 15 2007 A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042 Klainerman, Sergiu; Rodnianski, Igor 15 2007 Does a quantum particle know the time? Zbl 1071.81516 Kapitanski, Lev; Rodnianski, Igor 13 1999 On the implosion of a compressible fluid. I: Smooth self-similar inviscid profiles. Zbl 1497.35384 Merle, Frank; Rapha\'’el, Pierre; Rodnianski, Igor; Szeftel, Jeremie 13 2022 The asymptotically self-similar regime for the Einstein vacuum equations. Zbl 1394.35501 Rodnianski, Igor; Shlapentokh-Rothman, Yakov 12 2018 Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059 Rodnianski, Igor; Schlag, Wilhelm 12 2003 Fractal solutions of the Schrödinger equation. Zbl 1054.81018 Rodnianski, Igor 12 2000 Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051 Klainerman, Sergiu; Rodnianski, Igor 10 2004 Landau damping for analytic and Gevrey data. Zbl 1496.35080 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 10 2021 Diophantine properties of elements of \(SO(3)\). Zbl 1037.11051 Kaloshin, V.; Rodnianski, I. 9 2001 On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data. Zbl 1514.83043 Rodnianski, Igor; Speck, Jared 9 2022 On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225 Klainerman, Sergiu; Rodnianski, Igor 9 2010 A physical space approach to wave equation bilinear estimates. Zbl 1028.35111 Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence 8 2002 Regulated smoothing for Schrödinger evolution. Zbl 0859.35146 Kapitanski, Lev; Rodnianski, Igor 7 1996 Rough solutions of the Einstein vacuum equations. Zbl 1008.35079 Klainerman, Sergiu; Rodnianski, Igor 6 2002 Bilinear estimates on curved space-times. Zbl 1284.58018 Klainerman, Sergiu; Rodnianski, Igor 6 2005 Plasma echoes near stable Penrose data. Zbl 1509.35315 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 4 2022 Naked singularities for the Einstein vacuum equations: the exterior solution. Zbl 1516.35015 Rodnianski, Igor; Shlapentokh-Rothman, Yakov 4 2023 The Cauchy problem in General Relativity. Zbl 1130.83005 Rodnianski, Igor 2 2006 Sharp \(L^1\) estimates for singular transport equations. Zbl 1144.35358 Klainerman, Sergiu; Rodnianski, Igor 2 2008 Stable big bang formation for Einstein’s equations: the complete sub-critical regime. Zbl 1522.83257 Fournodavlos, Grigorios; Rodnianski, Igor; Speck, Jared 2 2023 The resolution of the bounded \(L^2\) curvature conjecture in general relativity. Zbl 1373.83018 Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jérémie 1 2014 Boltzmann limit for a homogeneous Fermi gas with dynamical Hartree-Fock interactions in a random medium. Zbl 1220.82075 Chen, Thomas; Rodnianski, Igor 1 2011 Naked singularities for the Einstein vacuum equations: the exterior solution. Zbl 1516.35015 Rodnianski, Igor; Shlapentokh-Rothman, Yakov 4 2023 Stable big bang formation for Einstein’s equations: the complete sub-critical regime. Zbl 1522.83257 Fournodavlos, Grigorios; Rodnianski, Igor; Speck, Jared 2 2023 On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 1487.35353 Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie 16 2022 On the implosion of a compressible fluid. II: Singularity formation. Zbl 1497.35385 Merle, Frank; Rapha\'’el, Pierre; Rodnianski, Igor; Szeftel, Jeremie 16 2022 On the implosion of a compressible fluid. I: Smooth self-similar inviscid profiles. Zbl 1497.35384 Merle, Frank; Rapha\'’el, Pierre; Rodnianski, Igor; Szeftel, Jeremie 13 2022 On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data. Zbl 1514.83043 Rodnianski, Igor; Speck, Jared 9 2022 Plasma echoes near stable Penrose data. Zbl 1509.35315 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 4 2022 Landau damping for analytic and Gevrey data. Zbl 1496.35080 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 10 2021 The linear stability of the Schwarzschild solution to gravitational perturbations. Zbl 1419.83023 Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 87 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 51 2019 A scattering theory for the wave equation on Kerr black hole exteriors. Zbl 1508.83015 Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov 32 2018 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 31 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 31 2018 The asymptotically self-similar regime for the Einstein vacuum equations. Zbl 1394.35501 Rodnianski, Igor; Shlapentokh-Rothman, Yakov 12 2018 Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308 Luk, Jonathan; Rodnianski, Igor 26 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 107 2016 The bounded \(L^2\) curvature conjecture. Zbl 1330.53089 Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie 67 2015 Effective limiting absorption principles, and applications. Zbl 1310.35204 Rodnianski, Igor; Tao, Terence 48 2015 Local propagation of impulsive gravitational waves. Zbl 1316.35281 Luk, Jonathan; Rodnianski, Igor 35 2015 Type II blow up for the energy supercritical NLS. Zbl 1347.35215 Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 28 2015 A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311 Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor 18 2014 The resolution of the bounded \(L^2\) curvature conjecture in general relativity. Zbl 1373.83018 Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jérémie 1 2014 Lectures on black holes and linear waves. Zbl 1300.83004 Dafermos, Mihalis; Rodnianski, Igor 113 2013 Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052 Merle, Frank; Raphaël, Pierre; Rodnianski, Igor 63 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 55 2013 Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358 Raphaël, Pierre; Rodnianski, Igor 101 2012 On the formation of trapped surfaces. Zbl 1246.83028 Klainerman, Sergiu; Rodnianski, Igor 37 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 59 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 23 2011 Boltzmann limit for a homogeneous Fermi gas with dynamical Hartree-Fock interactions in a random medium. Zbl 1220.82075 Chen, Thomas; Rodnianski, Igor 1 2011 The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066 Lindblad, Hans; Rodnianski, Igor 142 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 117 2010 On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model. Zbl 1213.35392 Rodnianski, Igor; Sterbenz, Jacob 91 2010 On the breakdown criterion in general relativity. Zbl 1203.35084 Klainerman, Sergiu; Rodnianski, Igor 23 2010 On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225 Klainerman, Sergiu; Rodnianski, Igor 9 2010 The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008 Dafermos, Mihalis; Rodnianski, Igor 129 2009 Quantum fluctuations and rate of convergence towards mean field dynamics. Zbl 1186.82051 Rodnianski, Igor; Schlein, Benjamin 122 2009 On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258 Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola 23 2009 On the radius of injectivity of null hypersurfaces. Zbl 1198.53057 Klainerman, Sergiu; Rodnianski, Igor 20 2008 Sharp \(L^1\) estimates for singular transport equations. Zbl 1144.35358 Klainerman, Sergiu; Rodnianski, Igor 2 2008 Longtime decay estimates for the Schrödinger equation on manifolds. Zbl 1133.35022 Rodnianski, Igor; Tao, Terence C. 15 2007 A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042 Klainerman, Sergiu; Rodnianski, Igor 15 2007 A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080 Klainerman, S.; Rodnianski, I. 40 2006 Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081 Klainerman, S.; Rodnianski, I. 21 2006 The Cauchy problem in General Relativity. Zbl 1130.83005 Rodnianski, Igor 2 2006 Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003 Lindblad, Hans; Rodnianski, Igor 88 2005 A proof of Price’s law for the collapse of a self-gravitating scalar field. Zbl 1088.83008 Dafermos, Mihalis; Rodnianski, Igor 84 2005 Dispersive analysis of charge transfer models. Zbl 1130.81053 Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 57 2005 Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006 Klainerman, Sergiu; Rodnianski, Igor 37 2005 Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018 Klainerman, Sergiu; Rodnianski, Igor 34 2005 Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069 Dafermos, Mihalis; Rodnianski, Igor 22 2005 The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007 Klainerman, Sergiu; Rodnianski, Igor 15 2005 Bilinear estimates on curved space-times. Zbl 1284.58018 Klainerman, Sergiu; Rodnianski, Igor 6 2005 Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035 Rodnianski, Igor; Schlag, Wilhelm 151 2004 Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions. Zbl 1106.35073 Rodnianski, Igor; Tao, Terence 27 2004 Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051 Klainerman, Sergiu; Rodnianski, Igor 10 2004 The weak null condition for Einstein’s equations. Zbl 1045.35101 Lindblad, Hans; Rodnianski, Igor 64 2003 Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091 Klainerman, S.; Rodnianski, I. 37 2003 Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059 Rodnianski, Igor; Schlag, Wilhelm 12 2003 A physical space approach to wave equation bilinear estimates. Zbl 1028.35111 Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence 8 2002 Rough solutions of the Einstein vacuum equations. Zbl 1008.35079 Klainerman, Sergiu; Rodnianski, Igor 6 2002 On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009 Klainerman, Sergiu; Rodnianski, Igor 32 2001 Diophantine properties of elements of \(SO(3)\). Zbl 1037.11051 Kaloshin, V.; Rodnianski, I. 9 2001 Shape and Morse theory of attractors. Zbl 1026.37007 Kapitanski, Lev; Rodnianski, Igor 49 2000 Fractal solutions of the Schrödinger equation. Zbl 1054.81018 Rodnianski, Igor 12 2000 Does a quantum particle know the time? Zbl 1071.81516 Kapitanski, Lev; Rodnianski, Igor 13 1999 On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035 Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji 25 1997 Regulated smoothing for Schrödinger evolution. Zbl 0859.35146 Kapitanski, Lev; Rodnianski, Igor 7 1996 all cited Publications top 5 cited Publications all top 5 Cited by 1,148 Authors 39 Rodnianski, Igor 25 Soffer, Avraham 24 Tataru, Daniel 21 Raphael, Pierre 21 Speck, Jared 20 Merle, Frank 20 Oh, Sung-Jin 19 Klainerman, Sergiu 19 Krieger, Joachim 19 Luk, Jonathan 18 Lindblad, Hans 17 Donninger, Roland 17 Gajic, Dejan 16 Sanjurjo, José Manuel Rodríguez 16 Schlag, Wilhelm 15 Aretakis, Stefanos 15 Pickl, Peter 14 Metcalfe, Jason L. 14 Schlein, Benjamin 13 Kenig, Carlos Eduardo 13 LeFloch, Philippe Gerard 13 Martel, Yvan 13 Smulevici, Jacques 13 Szeftel, Jérémie 12 Barge Yáñez, Héctor 12 Dafermos, Mihalis 12 Erdoğan, Mehmet Burak 12 Fajman, David 12 Goldberg, Michael Joseph 12 Lawrie, Andrew G. W. 12 Shlapentokh-Rothman, Yakov 12 Zha, Dongbing 11 Angelopoulos, Yannis 11 D’Ancona, Piero 11 Lührmann, Jonas 11 Yang, Shiwu 10 Chen, Thomas 10 Costa, João Lopes 10 Hintz, Peter 10 Holzegel, Gustav 10 Oliynyk, Todd Andrew 10 Pavlović, Nataša 10 Tohaneanu, Mihai 10 Wang, Qian 10 Zaag, Hatem 9 Chruściel, Piotr Tadeusz 9 Ionescu, Alexandru D. 9 Machedon, Matei 9 Mizutani, Haruya 9 Staffilani, Gigliola 8 Gasperín, Edgar 8 Green, William R. 8 Hadzic, Mahir 8 Häfner, Dietrich 8 Hilditch, David 8 Jendrej, Jacek 8 Li, Ze 8 Ma, Siyuan 8 Petrat, Sören 8 Sigal, Israel Michael 8 Stefanov, Atanas G. 8 Vega, Luis 8 Vougalter, Vitali 8 Wang, Youde 8 Yao, Xiaohua 7 An, Xinliang 7 Beceanu, Marius 7 Blue, Pieter 7 Chen, Gong 7 Collot, Charles 7 Czimek, Stefan 7 Danca, Marius-Florin 7 Fournodavlos, Grigorios 7 Ghoul, Tej-Eddine 7 Leopold, Nikolai 7 Li, Desheng 7 Masmoudi, Nader 7 Natário, José 7 Nguyen, Van Tien 7 Sterbenz, Jacob 7 Vasy, András 7 Wei, Changhua 7 Wei, Juncheng 7 Yajima, Kenji 7 Yu, Pin 7 Zhang, Junyong 7 Zhao, Lifeng 6 Carles, Rémi 6 Chen, Li 6 Chen, Xuwen 6 Fanelli, Luca 6 Giorgi, Elena Edi 6 Hong, Younghun 6 Lee, Jinyeop 6 Li, Junbin 6 Ma, Yue 6 Nicolas, Jean-Philippe 6 Phan Thành Nam 6 Rendall, Alan D. 6 Shahshahani, Sohrab ...and 1,048 more Authors all top 5 Cited in 210 Serials 159 Communications in Mathematical Physics 81 Annales Henri Poincaré 56 Annals of PDE 53 Journal of Functional Analysis 51 Classical and Quantum Gravity 50 Journal of Mathematical Physics 37 Journal of Differential Equations 33 Journal of Hyperbolic Differential Equations 32 Advances in Mathematics 32 Communications in Partial Differential Equations 30 Archive for Rational Mechanics and Analysis 25 Inventiones Mathematicae 25 Transactions of the American Mathematical Society 22 Communications on Pure and Applied Mathematics 22 Journal of High Energy Physics 19 SIAM Journal on Mathematical Analysis 19 Analysis & PDE 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 General Relativity and Gravitation 17 Duke Mathematical Journal 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Discrete and Continuous Dynamical Systems 16 Letters in Mathematical Physics 15 Journal of the European Mathematical Society (JEMS) 15 Séminaire Laurent Schwartz. EDP et Applications 14 Journal of Statistical Physics 14 Memoirs of the American Mathematical Society 14 Annals of Mathematics. Second Series 13 Reviews in Mathematical Physics 13 Mathematische Annalen 12 Journal of the American Mathematical Society 11 Journal of Mathematical Analysis and Applications 11 Proceedings of the American Mathematical Society 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Bulletin of the American Mathematical Society. New Series 10 Calculus of Variations and Partial Differential Equations 10 Communications on Pure and Applied Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Selecta Mathematica. New Series 6 American Journal of Mathematics 6 Quarterly of Applied Mathematics 6 The Journal of Geometric Analysis 6 Geometric and Functional Analysis. GAFA 6 Living Reviews in Relativity 6 Journal of Evolution Equations 6 Pure and Applied Analysis 5 Nonlinearity 5 Annales de l’Institut Fourier 5 Journal of the Mathematical Society of Japan 5 Mathematische Zeitschrift 5 Topology and its Applications 5 Physica D 5 The Journal of Fourier Analysis and Applications 5 Acta Mathematica Sinica. English Series 5 Journal of Fixed Point Theory and Applications 4 Journal d’Analyse Mathématique 4 Journal of Geometry and Physics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Mathematische Nachrichten 4 Mathematical Physics, Analysis and Geometry 4 Journal of Cosmology and Astroparticle Physics 4 Oberwolfach Reports 4 Science China. Mathematics 3 Mathematical Methods in the Applied Sciences 3 Russian Mathematical Surveys 3 Acta Mathematica 3 Publications Mathématiques 3 Journal für die Reine und Angewandte Mathematik 3 Chinese Annals of Mathematics. Series B 3 Annals of Global Analysis and Geometry 3 Asymptotic Analysis 3 Forum Mathematicum 3 Annals of Physics 3 Communications in Contemporary Mathematics 3 Analysis in Theory and Applications 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Pseudo-Differential Operators and Applications 3 Journal of Spectral Theory 3 Forum of Mathematics, Sigma 2 Journal of the Franklin Institute 2 Applied Mathematics and Computation 2 Bulletin de la Société Mathématique de France 2 Hokkaido Mathematical Journal 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Tôhoku Mathematical Journal. Second Series 2 Acta Mathematicae Applicatae Sinica. English Series 2 Revista Matemática Iberoamericana 2 European Journal of Applied Mathematics 2 Differential Geometry and its Applications 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Nonlinear Dynamics 2 Journal of Mathematical Fluid Mechanics 2 Communications in Nonlinear Science and Numerical Simulation 2 Bulletin of the Brazilian Mathematical Society. New Series ...and 110 more Serials all top 5 Cited in 52 Fields 1,095 Partial differential equations (35-XX) 474 Relativity and gravitational theory (83-XX) 273 Quantum theory (81-XX) 185 Differential geometry (53-XX) 136 Global analysis, analysis on manifolds (58-XX) 114 Dynamical systems and ergodic theory (37-XX) 102 Statistical mechanics, structure of matter (82-XX) 89 Fluid mechanics (76-XX) 63 Operator theory (47-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 40 Mechanics of particles and systems (70-XX) 28 Numerical analysis (65-XX) 28 Optics, electromagnetic theory (78-XX) 24 General topology (54-XX) 21 Functional analysis (46-XX) 21 Probability theory and stochastic processes (60-XX) 18 Algebraic geometry (14-XX) 17 Ordinary differential equations (34-XX) 16 Astronomy and astrophysics (85-XX) 11 Measure and integration (28-XX) 10 Manifolds and cell complexes (57-XX) 10 Systems theory; control (93-XX) 9 Real functions (26-XX) 9 Algebraic topology (55-XX) 9 Mechanics of deformable solids (74-XX) 8 History and biography (01-XX) 8 Topological groups, Lie groups (22-XX) 8 Geometry (51-XX) 8 Biology and other natural sciences (92-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Number theory (11-XX) 5 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 4 Abstract harmonic analysis (43-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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