Igor Rodnianski

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All published works

Action	Title	Year	Authors
+ PDF Chat	Quasilinear wave equations on Kerr black holes in the full subextremal range $\|a\|<M$	2024	Mihalis Dafermos Gustav Holzegel Igor Rodnianski M. J. Taylor
+ PDF Chat	The stability of irrotational shocks and the Landau law of decay	2024	Daniel Ginsberg Igor Rodnianski
+ PDF Chat	A scattering theory construction of dynamical vacuum black holes	2024	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+ PDF Chat	Characteristic Gluing to the Kerr Family and Application to Spacelike Gluing	2023	Stefanos Aretakis Stefan Czimek Igor Rodnianski
+ PDF Chat	Naked singularities for the Einstein vacuum equations: The exterior solution	2023	Igor Rodnianski Yakov Shlapentokh-Rothman
+ PDF Chat	Stable Big Bang formation for Einstein’s equations: The complete sub-critical regime	2023	Grigorios Fournodavlos Igor Rodnianski Jared Speck
+	Well-posedness of a gauge-covariant wave equation with space-time white noise forcing	2023	Bjoern Bringmann Igor Rodnianski
+ PDF	On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles	2022	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+ PDF	On the implosion of a compressible fluid II: Singularity formation	2022	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+ PDF Chat	Plasma Echoes Near Stable Penrose Data	2022	Emmanuel Grenier Toan T. Nguyen Igor Rodnianski
+	Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes	2022	Mihalis Dafermos Gustav Holzegel Igor Rodnianski Martin Taylor
+	Obstruction-free gluing for the Einstein equations	2022	Stefan Czimek Igor Rodnianski
+ PDF	On blow up for the energy super critical defocusing nonlinear Schrödinger equations	2021	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+	On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data	2021	Igor Rodnianski Jared Speck
+	The non-linear stability of the Schwarzschild family of black holes	2021	Mihalis Dafermos Gustav Holzegel Igor Rodnianski M. J. Taylor
+ PDF	Landau damping for analytic and Gevrey data	2021	Emmanuel Grenier Toan T. Nguyen Igor Rodnianski
+	The characteristic gluing problem for the Einstein equations and applications	2021	Stefanos Aretakis Stefan Czimek Igor Rodnianski
+	The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis	2021	Stefanos Aretakis Stefan Czimek Igor Rodnianski
+	The non-linear stability of the Schwarzschild family of black holes	2021	Mihalis Dafermos Gustav Holzegel Igor Rodnianski Martin Taylor
+	Characteristic gluing to the Kerr family and application to spacelike gluing	2021	Stefanos Aretakis Stefan Czimek Igor Rodnianski
+	Plasma echoes near stable Penrose data	2020	Emmanuel Grenier Toan T. Nguyen Igor Rodnianski
+	High-frequency limits and null dust shell solutions in general relativity	2020	Jonathan Luk Igor Rodnianski
+	Landau damping for analytic and Gevrey data	2020	Emmanuel Grenier Toan T. Nguyen Igor Rodnianski
+	Plasma echoes near stable Penrose data	2020	Emmanuel Grenier Toan T. Nguyen Igor Rodnianski
+	Stable Big Bang formation for Einstein's equations: The complete sub-critical regime	2020	Grigorios Fournodavlos Igor Rodnianski Jared Speck
+	On the implosion of a three dimensional compressible fluid	2019	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+	On blow up for the energy super critical defocusing non linear Schr\"odinger equations	2019	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+	On smooth self similar solutions to the compressible Euler equations	2019	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+ PDF	Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $$\|a\|\ll M$$	2019	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	The linear stability of the Schwarzschild solution to gravitational perturbations	2019	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	On the implosion of a three dimensional compressible fluid	2019	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+	On smooth self similar solutions to the compressible Euler equations	2019	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+	On blow up for the energy super critical defocusing non linear Schrödinger equations	2019	Frank Merle Pierre Raphaël Igor Rodnianski Jérémie Szeftel
+	Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution	2019	Igor Rodnianski Yakov Shlapentokh-Rothman
+ PDF	Stable Big Bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems	2018	Igor Rodnianski Jared Speck
+ PDF Chat	The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations	2018	Igor Rodnianski Yakov Shlapentokh-Rothman
+	On the nature of Hawking's incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data	2018	Igor Rodnianski Jared Speck
+ PDF Chat	A scattering theory for the wave equation on Kerr black hole exteriors	2018	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+	On the nature of Hawking's incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data	2018	Igor Rodnianski Jared Speck
+ PDF Chat	A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation	2017	Igor Rodnianski Jared Speck
+	Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case $\|a\|\ll M$	2017	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations	2017	Igor Rodnianski Yakov Shlapentokh-Rothman
+ PDF	Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations	2017	Jonathan Luk Igor Rodnianski
+	Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case $\|a\|\ll M$	2017	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations	2017	Igor Rodnianski Yakov Shlapentokh-Rothman
+ PDF	The resolution of the bounded L 2 curvature conjecture in general relativity	2016	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+ PDF Chat	Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case \|a\| < M	2016	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+	Global Behavior of Solutions to Einstein's Equations	2015	James Isenberg Stefanos Aretakis Igor Rodnianski Vincent Moncrief
+ PDF	The resolution of the bounded <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup></mml:math> curvature conjecture in general relativity	2015	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+	The bounded $$L^2$$ L 2 curvature conjecture	2015	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+ PDF	Type II blow up for the energy supercritical NLS	2015	Frank Merle Pierre Raphaël Igor Rodnianski
+ PDF Chat	Effective Limiting Absorption Principles, and Applications	2014	Igor Rodnianski Terence Tao
+	Stable Big Bang Formation in Near-FLRW Solutions to the Einstein-Scalar Field and Einstein-Stiff Fluid Systems	2014	Igor Rodnianski Jared Speck
+ PDF Chat	Local Propagation of Impulsive GravitationalWaves	2014	Jonathan Luk Igor Rodnianski
+	Type II blow up for the energy supercritical NLS	2014	Frank Merle Pierre Raphaël Igor Rodnianski
+	Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case \|a\| < M	2014	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+ PDF Chat	A fully anisotropic mechanism for formation of trapped surfaces in vacuum	2014	Sergiù Klainerman Jonathan Luk Igor Rodnianski
+	The resolution of the bounded L2 curvature conjecture in general relativity	2014	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+	Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case \|a\| < M	2014	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+	Stable Big Bang Formation in Near-FLRW Solutions to the Einstein-Scalar Field and Einstein-Stiff Fluid Systems	2014	Igor Rodnianski Jared Speck
+	Type II blow up for the energy supercritical NLS	2014	Frank Merle Pierre Raphaël Igor Rodnianski
+ PDF	The nonlinear future stability of the FLRW family of solutions to the irrotational Euler–Einstein system with a positive cosmological constant	2013	Igor Rodnianski Jared Speck
+	Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations	2013	Jonathan Luk Igor Rodnianski
+	Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations	2013	Jonathan Luk Igor Rodnianski
+	A scattering theory construction of dynamical vacuum black holes	2013	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem	2012	Frank Merle Pierre Raphaël Igor Rodnianski
+	Local Propagation of Impulsive Gravitational Waves	2012	Jonathan Luk Igor Rodnianski
+	Overview of the proof of the Bounded L 2 Curvature Conjecture	2012	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+ PDF Chat	THE BLACK HOLE STABILITY PROBLEM FOR LINEAR SCALAR PERTURBATIONS	2012	Mihalis Dafermos Igor Rodnianski
+ PDF	Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems	2012	Pierre Raphaël Igor Rodnianski
+ PDF	On the formation of trapped surfaces	2012	Sergiù Klainerman Igor Rodnianski
+	Overview of the proof of the Bounded $L^2$ Curvature Conjecture	2012	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+	Local Propagation of Impulsive Gravitational Waves	2012	Jonathan Luk Igor Rodnianski
+	The Bounded L2 Curvature Conjecture	2012	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+	Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems . Cohomological Hasse principle and motivic cohomology for arithmetic schemes . On representations distinguished by unitary groups . Existence of log canonical flips and a special LMMP	2012	Pierre Raphaël Igor Rodnianski Moritz Kerz 秀司斎藤 Brooke Feigon Erez Lapid Omer Offen Caucher Birkar
+	Blow up dynamics for smooth equivariant solutions to the energy critical Schr\"odinger map	2011	Frank Merle Pierre Raphaël Igor Rodnianski
+	Blow up dynamics for smooth data equivariant solutions to the energy critical Schrodinger map problem	2011	Frank Merle Pierre Raphaël Igor Rodnianski
+ PDF	Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map	2011	Frank Merle Pierre Raphaël Igor Rodnianski
+	Boltzmann Limit for a Homogeneous Fermi Gas with Dynamical Hartree-Fock Interactions in a Random Medium	2011	Thomas Chen Igor Rodnianski
+ PDF Chat	A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds	2011	Mihalis Dafermos Igor Rodnianski
+	Effective limiting absorption principles, and applications	2011	Igor Rodnianski Terence Tao
+	Blow up dynamics for smooth data equivariant solutions to the energy critical Schrodinger map problem	2011	Frank Merle Pierre Raphaël Igor Rodnianski
+	Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map	2011	Frank Merle Pierre Raphaël Igor Rodnianski
+	Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases \|a\| << M or axisymmetry	2010	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The black hole stability problem for linear scalar perturbations	2010	Mihalis Dafermos Igor Rodnianski
+ PDF	Around the bounded <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup></mml:math> curvature conjecture in general relativity	2010	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel
+ PDF	On the formation of singularities in the critical<i>O</i>(3)<i>σ</i>-model	2010	Igor Rodnianski Jacob Sterbenz
+ PDF	The global stability of Minkowski space-time in harmonic gauge	2010	Hans Lindblad Igor Rodnianski
+ PDF Chat	A NEW PHYSICAL-SPACE APPROACH TO DECAY FOR THE WAVE EQUATION WITH APPLICATIONS TO BLACK HOLE SPACETIMES	2010	Mihalis Dafermos Igor Rodnianski
+	On emerging scarred surfaces for the Einstein vacuum equations	2010	Sergiù Klainerman Igor Rodnianski
+ PDF Chat	On emerging scarred surfaces for the Einstein vacuum equations	2010	Sergiù Klainerman Igor Rodnianski
+	Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases \|a\| << M or axisymmetry	2010	Mihalis Dafermos Igor Rodnianski
+	Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds	2009	Igor Rodnianski T. Tao
+ PDF	On the breakdown criterion in general relativity	2009	Sergiù Klainerman Igor Rodnianski
+	A new physical-space approach to decay for the wave equation with applications to black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics	2009	Igor Rodnianski Benjamin Schlein
+ PDF	On the global well-posedness of the one-dimensional Schrödinger map flow	2009	Igor Rodnianski Yanir A. Rubinstein Gigliola Staffilani
+ PDF Chat	The red‐shift effect and radiation decay on black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski
+	The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant	2009	Igor Rodnianski Jared Speck
+	Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems	2009	Pierre Raphaël Igor Rodnianski
+	Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium	2009	Thomas Chen Igor Rodnianski
+	A new physical-space approach to decay for the wave equation with applications to black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski
+	On the formation of trapped surfaces	2009	Sergiù Klainerman Igor Rodnianski
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+ PDF	Sharp $L^1$ estimates for singular transport equations	2008	Sergiù Klainerman Igor Rodnianski
+	On the radius of injectivity of null hypersurfaces	2008	Sergiù Klainerman Igor Rodnianski
+	On the global well-posedness of the one-dimensional Schrodinger map flow	2008	Igor Rodnianski Yanir A. Rubinstein Gigliola Staffilani
+	On the breakdown criterion in General Relativity	2008	Sergiù Klainerman Igor Rodnianski
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	A KIRCHOFF–SOBOLEV PARAMETRIX FOR THE WAVE EQUATION AND APPLICATIONS	2007	Sergiù Klainerman Igor Rodnianski
+	The Cauchy problem in General Relativity	2007	Igor Rodnianski
+	Sharp $L^1$ estimates for singular transport equations	2007	Sergiù Klainerman Igor Rodnianski
+	The wave equation on Schwarzschild-de Sitter spacetimes	2007	Mihalis Dafermos Igor Rodnianski
+	A note on energy currents and decay for the wave equation on a Schwarzschild background	2007	Mihalis Dafermos Igor Rodnianski
+	Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics	2007	Igor Rodnianski Benjamin Schlein
+	Sharp $L^1$ estimates for singular transport equations	2007	Sergiù Klainerman Igor Rodnianski
+ PDF Chat	A geometric approach to the Littlewood–Paley theory	2006	Sergiù Klainerman Igor Rodnianski
+ PDF Chat	Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux	2006	Sergiù Klainerman Igor Rodnianski
+	The wave map problem. Small data critical regularity	2006	Igor Rodnianski
+	A Kirchoff-Sobolev parametrix for the wave equation and applications	2006	Sergiù Klainerman Igor Rodnianski
+	On the Formation of Singularities in the Critical O(3) Sigma-Model	2006	Igor Rodnianski Jacob Sterbenz
+	On the radius of injectivity of null hypersurfaces	2006	Sergiù Klainerman Igor Rodnianski
+	The red-shift effect and radiation decay on black hole spacetimes	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	A proof of Price’s law for the collapse of a self-gravitating scalar field	2005	Mihalis Dafermos Igor Rodnianski
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+	BILINEAR ESTIMATES ON CURVED SPACE–TIMES	2005	Sergiù Klainerman Igor Rodnianski
+ PDF	Rough solutions of the Einstein-vacuum equations	2005	Sergiù Klainerman Igor Rodnianski
+ PDF	The causal structure of microlocalized rough Einstein metrics	2005	Sergiù Klainerman Igor Rodnianski
+ PDF Chat	Global Existence for the Einstein Vacuum Equations in Wave Coordinates	2005	Hans Lindblad Igor Rodnianski
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+	The red-shift effect and radiation decay on black hole spacetimes	2005	Mihalis Dafermos Igor Rodnianski
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux	2004	Sergiù Klainerman Igor Rodnianski
+	Long-time decay estimates for the Schr\"odinger equation on manifolds	2004	Igor Rodnianski Terence Tao
+	The global stability of the Minkowski space-time in harmonic gauge	2004	Hans Lindblad Igor Rodnianski
+ PDF Chat	Dispersive analysis of charge transfer models	2004	Igor Rodnianski Wilhelm Schlag Avy Soffer
+ PDF Chat	Global Regularity for the Maxwell-Klein-Gordon Equation with Small Critical Sobolev Norm in High Dimensions	2004	Igor Rodnianski Terence Tao
+ PDF Chat	RICCI DEFECTS OF MICROLOCALIZED EINSTEIN METRICS	2004	Sergiù Klainerman Igor Rodnianski
+	Time decay for solutions of Schr�dinger equations with rough and time-dependent potentials	2004	Igor Rodnianski Wilhelm Schlag
+	Angular Regularity and Strichartz Estimates for the Wave Equation	2004	Jacob Sterbenz Igor Rodnianski
+	A note on boundary value problems for black hole evolutions	2004	Mihalis Dafermos Igor Rodnianski
+	Long-time decay estimates for the Schrödinger equation on manifolds	2004	Igor Rodnianski Terence Tao
+	The global stability of the Minkowski space-time in harmonic gauge	2004	Hans Lindblad Igor Rodnianski
+	A geometric approach to the Littlewood-Paley theory	2003	Sergiù Klainerman Igor Rodnianski
+ PDF	The weak null condition for Einstein's equations	2003	Hans Lindblad Igor Rodnianski
+	Improved local well-posedness for quasilinear wave equations in dimension three	2003	Sergiù Klainerman Igor Rodnianski
+	Asymptotic stability of N-soliton states of NLS	2003	Igor Rodnianski Wilhelm Schlag Avy Soffer
+	Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux	2003	Sergiù Klainerman Igor Rodnianski
+	Dispersive analysis of the charge transfer models	2003	Igor Rodnianski Wilhelm Schlag Avy Soffer
+	A geometric approach to the Littlewood-Paley theory	2003	Sergiù Klainerman Igor Rodnianski
+ PDF Chat	A physical space approach to wave equation bilinear estimates	2002	Sergiù Klainerman Igor Rodnianski Terence Tao
+	None	2002	Igor Rodnianski Wilhelm Schlag
+ PDF	Regularity and geometric properties of solutions of the Einstein-Vacuum equations	2002	Sergiù Klainerman Igor Rodnianski
+ PDF	Rough solutions of the Einstein vacuum equations	2002	Sergiù Klainerman Igor Rodnianski
+ PDF Chat	Diophantine properties of elements of SO(3)	2001	V. A. Kaloshin Igor Rodnianski
+	None	2001	Sergiù Klainerman Igor Rodnianski
+	Ricci defects of microlocalized Einstein metrics	2001	Sergiù Klainerman Igor Rodnianski
+	The causal structure of microlocalized Einstein metrics	2001	Sergiù Klainerman Igor Rodnianski
+	Time decay for solutions of Schrödinger equations with rough and time dependent potentials	2001	Igor Rodnianski Wilhelm Schlag
+	Rough solution for the Einstein Vacuum equations	2001	Sergiù Klainerman Igor Rodnianski
+	A physical space approach to wave equation bilinear estimates	2001	Sergiù Klainerman Igor Rodnianski Terence Tao
+	Shape and Morse theory of attractors	2000	Lev Kapitanski Igor Rodnianski
+	Shape and Morse theory of attractors	2000	Lev Kapitanski Igor Rodnianski
+	On the Global Regularity of Wave Maps in the Critical Sobolev Norm	2000	Sergiù Klainerman Igor Rodnianski
+	Diophantine properties of elements of SO(3)	2000	V. A. Kaloshin Igor Rodnianski
+	Fractal solutions of the Schrödinger equation	2000	Igor Rodnianski
+ PDF Chat	Does a Quantum Particle Know the Time?	1999	Lev Kapitanski Igor Rodnianski
+ PDF	Continued fractions and Schrödinger evolution	1999	Igor Rodnianski
+ PDF	On the fundamental solution of a perturbed harmonic sscillator	1997	Lev Kapitanski Igor Rodnianski Kenji Yajima
+	Does a quantum particle know the time?	1997	Lev Kapitanski Igor Rodnianski

Common Coauthors

Coauthor	Papers Together
Sergiù Klainerman	42
Mihalis Dafermos	35
Pierre Raphaël	21
Frank Merle	18
Jérémie Szeftel	17
Jared Speck	11
Gustav Holzegel	10
Yakov Shlapentokh-Rothman	9
Jonathan Luk	8
Terence Tao	7
Wilhelm Schlag	6
Lev Kapitanski	5
Stefan Czimek	5
Toan T. Nguyen	5
Hans Lindblad	5
Stefanos Aretakis	5
Emmanuel Grenier	5
Jacob Sterbenz	3
Avy Soffer	3
V. A. Kaloshin	2
Gigliola Staffilani	2
Benjamin Schlein	2
Grigorios Fournodavlos	2
Yanir A. Rubinstein	2
Thomas Chen	2
M. J. Taylor	2
Martin Taylor	2
Brooke Feigon	1
T. Tao	1
Bjoern Bringmann	1
Omer Offen	1
Erez Lapid	1
Daniel Ginsberg	1
Caucher Birkar	1
Vincent Moncrief	1
Kenji Yajima	1
秀司斎藤	1
James Isenberg	1
Moritz Kerz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires	1952	Yvonne Fourès-Bruhat	25
+ PDF Chat	Uniform Decay of Local Energy and the Semi-Linear Wave Equation on Schwarzschild Space	2006	Pieter Blue Jacob Sterbenz	20
+	Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity	1977	Thomas J.R. Hughes Tosio Kato Jerrold E. Marsden	17
+	The Large Scale Structure of Space-Time	1973	S. W. Hawking George Ellis	15
+ PDF Chat	The Formation of Black Holes in General Relativity	2009	Demetrios Christodoulou	15
+ PDF	A Local Energy Estimate on Kerr Black Hole Backgrounds	2010	Daniel Tataru Mihai Tohaneanu	14
+ PDF Chat	The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field	1999	Demetrios Christodoulou	14
+	On the existence ofn-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure	1986	Helmut Friedrich	13
+ PDF Chat	The interior of charged black holes and the problem of uniqueness in general relativity	2005	Mihalis Dafermos	13
+ PDF Chat	A geometric approach to the Littlewood–Paley theory	2006	Sergiù Klainerman Igor Rodnianski	12
+	The wave equation on Schwarzschild-de Sitter spacetimes	2007	Mihalis Dafermos Igor Rodnianski	12
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman	12
+	Improved local well-posedness for quasilinear wave equations in dimension three	2003	Sergiù Klainerman Igor Rodnianski	12
+	Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem	2010	Gustav Holzegel	12
+	Counterexamples to local existence for semi-linear wave equations	1996	Hans Lindblad	11
+	Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases \|a\| << M or axisymmetry	2010	Mihalis Dafermos Igor Rodnianski	11
+ PDF Chat	Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux	2004	Sergiù Klainerman Igor Rodnianski	11
+	Errata for ``Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds'', ``Semilinear wave equations on the Schwarzschild manifold I: Local Decay Estimates'', and ``The wave equation on the Schwarzschild metric II: Local Decay for the spin 2 Regge Wheeler equation''	2006	Pieter Blue Avy Soffer	11
+	Local regularity of nonlinear wave equations in three space dimensions	1993	Gustavo Ponce Thomas C. Sideris	11
+	None	1999	Hajer Bahouri Jean-Yves Chemin	10
+	On the global initial value problem and the issue of singularities	1999	Demetrios Christodoulou	10
+ PDF	The weak null condition for Einstein's equations	2003	Hans Lindblad Igor Rodnianski	10
+	Bounded variation solutions of the spherically symmetric einstein‐scalar field equations	1993	Demetrios Christodoulou	10
+	Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation	2000	Daniel Tataru	10
+	A note on energy currents and decay for the wave equation on a Schwarzschild background	2007	Mihalis Dafermos Igor Rodnianski	10
+ PDF Chat	Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux	2006	Sergiù Klainerman Igor Rodnianski	10
+ PDF	Rough solutions of the Einstein-vacuum equations	2005	Sergiù Klainerman Igor Rodnianski	10
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon	10
+ PDF	On the Formation of Trapped Surfaces	2012	Sergiù Klainerman	10
+	Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III	2001	Daniel Tataru	9
+ PDF	Concentration Compactness for Critical Wave Maps	2012	Joachim Krieger Wilhelm Schlag	9
+	Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds	2000	Izabella Łaba Avy Soffer	9
+	A new physical-space approach to decay for the wave equation with applications to black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski	9
+ PDF	On the proof of the positive mass conjecture in general relativity	1979	Richard Schoen Shing-Tung Yau	9
+ PDF Chat	Renormalization and blow up for charge one equivariant critical wave maps	2007	John Krieger Wilhelm Schlag Daniel Tataru	9
+ PDF	A parametrix construction for wave equations with $C^{1,1}$ coefficients	1998	Hart F. Smith	9
+ PDF	Sharp local well-posedness results for the nonlinear wave equation	2005	Hart F. Smith Daniel Tataru	9
+	Equations d'ondes quasilineaires et estimations de Strichartz	1999	Hajer Bahouri Jean-Yves Chemin	9
+ PDF	The global stability of Minkowski space-time in harmonic gauge	2010	Hans Lindblad Igor Rodnianski	9
+ PDF	Regularity of Wave-Maps in Dimension 2 + 1	2010	Jacob Sterbenz Daniel Tataru	9
+ PDF	DECAY OF THE MAXWELL FIELD ON THE SCHWARZSCHILD MANIFOLD	2008	Pieter Blue	9
+ PDF Chat	Local Propagation of Impulsive GravitationalWaves	2014	Jonathan Luk Igor Rodnianski	8
+ PDF Chat	A proof of Price’s law for the collapse of a self-gravitating scalar field	2005	Mihalis Dafermos Igor Rodnianski	8
+ PDF Chat	On the Local Existence for the Characteristic Initial Value Problem in General Relativity	2011	Jonathan Luk	8
+ PDF	Improved Decay for Solutions to the Linear Wave Equation on a Schwarzschild Black Hole	2010	Jonathan Luk	8
+ PDF	Decay and Non-Decay of the Local Energy for the Wave Equation on the De Sitter–Schwarzschild Metric	2008	Jean‐François Bony Dietrich Häfner	8
+ PDF	Sharp counterexamples for Strichartz estimates for low regularity metrics	2002	Hart F. Smith Daniel Tataru	8
+ PDF	Decay of Solutions of the Wave Equation in the Kerr Geometry	2006	Felix Finster Niky Kamran Joel Smoller Shing‐Tung Yau	8
+	Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates	2003	Pieter Blue Avy Soffer	8
+ PDF Chat	The red‐shift effect and radiation decay on black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski	8