Edit Profile (opens in new tab) Dafermos, Mihalis Co-Author Distance Author ID: dafermos.mihalis Published as: Dafermos, Mihalis; Dafermos, Michael Further Spellings: Δαφέρμος, Μιχάλης Homepage: http://web.math.princeton.edu/~dafermos/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 39 Publications since 1997, including 8 Additional arXiv Preprints 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 9 Co-Authors with 28 Joint Publications 217 Co-Co-Authors all top 5 Co-Authors 15 single-authored 17 Rodnianski, Igor 6 Holzegel, Gustav 4 Ringström, Hans 4 Shlapentokh-Rothman, Yakov 3 Isenberg, James A. 3 Rendall, Alan D. 2 Cederbaum, Carla 1 Isenberg, Jim 1 Luk, Jonathan all top 5 Serials 4 Communications in Mathematical Physics 4 Oberwolfach Reports 3 Classical and Quantum Gravity 3 Communications on Pure and Applied Mathematics 2 Inventiones Mathematicae 2 Advances in Theoretical and Mathematical Physics 2 Annals of Mathematics. Second Series 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales Henri Poincaré 1 Journal of Hyperbolic Differential Equations 1 Annals of PDE 1 London Mathematical Society. Newsletter all top 5 Fields 34 Relativity and gravitational theory (83-XX) 16 Partial differential equations (35-XX) 9 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 1,219 times in 423 Documents Cited by ▼ Year ▼ The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008 Dafermos, Mihalis; Rodnianski, Igor 129 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 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 interior of charged black holes and the problem of uniqueness in general relativity. Zbl 1071.83037 Dafermos, Mihalis 81 2005 Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations. Zbl 1055.83002 Dafermos, Mihalis 67 2003 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 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 Black holes without spacelike singularities. Zbl 1301.83021 Dafermos, Mihalis 49 2014 Spherically symmetric spacetimes with a trapped surface. Zbl 1072.83026 Dafermos, Mihalis 39 2005 A scattering theory for the wave equation on Kerr black hole exteriors. Zbl 1508.83015 Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov 32 2018 Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes. Zbl 1360.83030 Dafermos, Mihalis; Shlapentokh-Rothman, Yakov 31 2017 An extension principle for the Einstein-Vlasov system in spherical symmetry. Zbl 1138.83008 Dafermos, Mihalis; Rendall, Alan D. 25 2005 Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069 Dafermos, Mihalis; Rodnianski, Igor 22 2005 On the nonlinear stability of higher dimensional triaxial Bianchi-IX black holes. Zbl 1106.83014 Dafermos, Mihalis; Holzegel, Gustav 22 2006 A note on the collapse of small data self-gravitating massless collisionless matter. Zbl 1115.35135 Dafermos, Mihalis 19 2006 Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter. Zbl 1341.83002 Dafermos, Mihalis; Rendall, Alan D. 19 2016 Rough initial data and the strength of the blue-shift instability on cosmological black holes with \(\Lambda >0\). Zbl 1409.83009 Dafermos, Mihalis; Shlapentokh-Rothman, Yakov 18 2018 The mathematical analysis of black holes in general relativity. Zbl 1373.83053 Dafermos, Mihalis 11 2014 On naked singularities and the collapse of self-gravitating Higgs fields. Zbl 1129.83014 Dafermos, Mihalis 8 2005 Inextendibility of expanding cosmological models with symmetry. Zbl 1087.83050 Dafermos, Mihalis; Rendall, Alan D. 8 2005 Black hole formation from a complete regular past. Zbl 1168.83010 Dafermos, Mihalis 6 2009 On “time-periodic” black-hole solutions to certain spherically symmetric Einstein-matter systems. Zbl 1026.83018 Dafermos, Mihalis 4 2003 The formation of black holes in general relativity [after D. Christodoulou]. Zbl 1290.83002 Dafermos, Mihalis 4 2013 Price’s law, mass inflation, and strong cosmic censorship. Zbl 1117.83353 Dafermos, Mihalis 3 2004 The evolution problem in general relativity. Zbl 1207.83004 Dafermos, Mihalis 3 2009 Penrose’s incompleteness theorem. Zbl 1477.83048 Dafermos, Mihalis 1 2021 Penrose’s incompleteness theorem. Zbl 1477.83048 Dafermos, Mihalis 1 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 Rough initial data and the strength of the blue-shift instability on cosmological black holes with \(\Lambda >0\). Zbl 1409.83009 Dafermos, Mihalis; Shlapentokh-Rothman, Yakov 18 2018 Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes. Zbl 1360.83030 Dafermos, Mihalis; Shlapentokh-Rothman, Yakov 31 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 Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter. Zbl 1341.83002 Dafermos, Mihalis; Rendall, Alan D. 19 2016 Black holes without spacelike singularities. Zbl 1301.83021 Dafermos, Mihalis 49 2014 The mathematical analysis of black holes in general relativity. Zbl 1373.83053 Dafermos, Mihalis 11 2014 Lectures on black holes and linear waves. Zbl 1300.83004 Dafermos, Mihalis; Rodnianski, Igor 113 2013 The formation of black holes in general relativity [after D. Christodoulou]. Zbl 1290.83002 Dafermos, Mihalis 4 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 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 The red-shift effect and radiation decay on black hole spacetimes. Zbl 1169.83008 Dafermos, Mihalis; Rodnianski, Igor 129 2009 Black hole formation from a complete regular past. Zbl 1168.83010 Dafermos, Mihalis 6 2009 The evolution problem in general relativity. Zbl 1207.83004 Dafermos, Mihalis 3 2009 On the nonlinear stability of higher dimensional triaxial Bianchi-IX black holes. Zbl 1106.83014 Dafermos, Mihalis; Holzegel, Gustav 22 2006 A note on the collapse of small data self-gravitating massless collisionless matter. Zbl 1115.35135 Dafermos, Mihalis 19 2006 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 interior of charged black holes and the problem of uniqueness in general relativity. Zbl 1071.83037 Dafermos, Mihalis 81 2005 Spherically symmetric spacetimes with a trapped surface. Zbl 1072.83026 Dafermos, Mihalis 39 2005 An extension principle for the Einstein-Vlasov system in spherical symmetry. Zbl 1138.83008 Dafermos, Mihalis; Rendall, Alan D. 25 2005 Small-amplitude nonlinear waves on a black hole background. Zbl 1079.35069 Dafermos, Mihalis; Rodnianski, Igor 22 2005 On naked singularities and the collapse of self-gravitating Higgs fields. Zbl 1129.83014 Dafermos, Mihalis 8 2005 Inextendibility of expanding cosmological models with symmetry. Zbl 1087.83050 Dafermos, Mihalis; Rendall, Alan D. 8 2005 Price’s law, mass inflation, and strong cosmic censorship. Zbl 1117.83353 Dafermos, Mihalis 3 2004 Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations. Zbl 1055.83002 Dafermos, Mihalis 67 2003 On “time-periodic” black-hole solutions to certain spherically symmetric Einstein-matter systems. Zbl 1026.83018 Dafermos, Mihalis 4 2003 all cited Publications top 5 cited Publications all top 5 Cited by 385 Authors 17 Gajic, Dejan 15 Aretakis, Stefanos 14 Andréasson, Håkan 14 Dafermos, Mihalis 14 Rodnianski, Igor 12 Metcalfe, Jason L. 11 Costa, João Lopes 11 Smulevici, Jacques 10 Angelopoulos, Yannis 10 Luk, Jonathan 10 Shlapentokh-Rothman, Yakov 9 Holzegel, Gustav 9 Tohaneanu, Mihai 9 Yang, Shiwu 8 Hintz, Peter 8 Ma, Siyuan 7 Blue, Pieter 7 Natário, José 7 Rein, Gerhard 6 An, Xinliang 6 Fajman, David 6 Giorgi, Elena Edi 6 Häfner, Dietrich 6 Moschidis, Georgios 6 Nicolas, Jean-Philippe 6 Reall, Harvey S. 6 Santos, Jorge E. 5 Dias, Óscar J. C. 5 Hadzic, Mahir 5 Hollands, Stefan 5 Sbierski, Jan J. 5 Schlue, Volker 5 Soffer, Avraham 5 Tataru, Daniel 5 Wald, Robert M. 4 Andersson, Lars Åke 4 Donninger, Roland 4 Franzen, Anne T. 4 Girão, Pedro Martins 4 Joudioux, Jérémie 4 Kehle, Christoph 4 Lindblad, Hans 4 Mena, Filipe C. 4 Mokdad, Mokdad 4 Raphael, Pierre 4 Rendall, Alan D. 4 Speck, Jared 4 Szeftel, Jérémie 4 Thaller, Maximilian 4 Valiente Kroon, Juan Antonio 4 Vasy, András 4 Warnick, Claude M. 4 Zhang, Lin 3 Beyer, Horst Reinhard 3 Bigorgne, Léo 3 Chakraborty, Sumanta 3 Destounis, Kyriakos 3 Fournodavlos, Grigorios 3 Galloway, Gregory J. 3 Gérard, Christian 3 Kehrberger, Leonhard M. A. 3 Kunze, Markus 3 Ling, Eric 3 Marolf, Donald M. 3 Oh, Sung-Jin 3 Oliver, Jesus Angel 3 Pasqualotto, Federico 3 Pham, Truong Xuan 3 Prabhu, Kartik 3 Rahman, Mostafizur 3 Ringström, Hans 3 Schlag, Wilhelm 3 Senovilla, José M. M. 3 Silva, Jorge Drumond 3 Teixeira da Costa, Rita 3 Van de Moortel, Maxime 3 Wang, Qian 3 Wei, Changhua 2 Alcubierre, Miguel 2 Caciotta, Giulio 2 Carballo-Rubio, Raúl 2 Casals, Marc 2 Cederbaum, Carla 2 Chesler, Paul M. 2 Chruściel, Piotr Tadeusz 2 Coley, Alan Albert 2 Compère, Geoffrey 2 Di Filippo, Francesco 2 Dold, Dominic 2 Dyatlov, Semyon 2 Eskin, Gregory 2 Graf, Melanie 2 Gudapati, Nishanth 2 Guo, Yan 2 Hung, Pei-Ken 2 Ionescu, Alexandru D. 2 Jang, Juhi 2 Kamran, Niky 2 Keller, Jordan 2 Klainerman, Sergiu ...and 285 more Authors all top 5 Cited in 82 Serials 57 Communications in Mathematical Physics 51 Annales Henri Poincaré 36 Classical and Quantum Gravity 29 Annals of PDE 24 Journal of High Energy Physics 19 General Relativity and Gravitation 16 Journal of Mathematical Physics 10 Advances in Mathematics 10 Journal of Hyperbolic Differential Equations 9 Archive for Rational Mechanics and Analysis 9 Journal of Functional Analysis 7 Inventiones Mathematicae 7 Annals of Mathematics. Second Series 5 Annales de l’Institut Fourier 5 Bulletin of the American Mathematical Society. New Series 5 Living Reviews in Relativity 5 Analysis & PDE 4 Communications on Pure and Applied Mathematics 4 Duke Mathematical Journal 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 3 Journal of Mathematical Analysis and Applications 3 Letters in Mathematical Physics 3 Physics Letters. B 3 Reviews in Mathematical Physics 3 Journal of Geometry and Physics 3 Journal of Differential Equations 3 Mathematische Annalen 3 Quarterly of Applied Mathematics 3 Journal of the American Mathematical Society 3 Mathematical Physics, Analysis and Geometry 3 Journal of the European Mathematical Society (JEMS) 3 Séminaire Laurent Schwartz. EDP et Applications 2 International Journal of Theoretical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Differential Geometry 2 Transactions of the American Mathematical Society 2 Annals of Physics 2 Communications in Partial Differential Equations 2 International Journal of Modern Physics D 2 Selecta Mathematica. New Series 2 Journal of Cosmology and Astroparticle Physics 2 International Journal of Geometric Methods in Modern Physics 2 Oberwolfach Reports 2 Analysis and Mathematical Physics 1 Modern Physics Letters A 1 Houston Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Methods in the Applied Sciences 1 Nuclear Physics. B 1 Physics Reports 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 American Journal of Mathematics 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Annals of Global Analysis and Geometry 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 Discrete and Continuous Dynamical Systems 1 Advances in Theoretical and Mathematical Physics 1 Annalen der Physik. 8th Series 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advances in High Energy Physics 1 Kinetic and Related Models 1 Involve 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 European Journal for Philosophy of Science 1 Arabian Journal of Mathematics 1 Evolution Equations and Control Theory 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Pure and Applied Analysis 1 La Matematica all top 5 Cited in 39 Fields 361 Relativity and gravitational theory (83-XX) 262 Partial differential equations (35-XX) 105 Differential geometry (53-XX) 58 Quantum theory (81-XX) 46 Global analysis, analysis on manifolds (58-XX) 21 Fluid mechanics (76-XX) 17 Astronomy and astrophysics (85-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Mechanics of particles and systems (70-XX) 9 Optics, electromagnetic theory (78-XX) 8 Geometry (51-XX) 7 Algebraic geometry (14-XX) 6 Ordinary differential equations (34-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-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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