Olivier Graf

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stability of the Euclidean 3-ball under L2-curvature pinching	2025	Olivier Graf
+ PDF Chat	Linear Stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations	2024	Olivier Graf Gustav Holzegel
+ PDF Chat	Linear Stability of Schwarzschild-Anti-de Sitter spacetimes I: The system of gravitational perturbations	2024	Olivier Graf Gustav Holzegel
+ PDF Chat	Linear Stability of Schwarzschild-Anti-de Sitter spacetimes II: Logarithmic decay of solutions to the Teukolsky system	2024	Olivier Graf Gustav Holzegel
+ PDF Chat	Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes	2023	Olivier Graf Gustav Holzegel
+ PDF Chat	The Canonical Foliation On Null Hypersurfaces in Low Regularity	2022	Stefan Czimek Olivier Graf
+ PDF Chat	The Spacelike-Characteristic Cauchy Problem of General Relativity in Low Regularity	2022	Stefan Czimek Olivier Graf
+	Mode stability for the Teukolsky equations on Kerr-anti-de Sitter spacetimes	2022	Olivier Graf Gustav Holzegel
+ PDF Chat	The evolution problem in general relativity	2020	Olivier Graf
+ PDF Chat	Problème de Cauchy spatial-caractéristique avec courbure <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> en relativité générale	2020	Olivier Graf
+	Global nonlinear stability of Minkowski space for spacelike-characteristic initial data	2020	Olivier Graf
+ PDF Chat	The canonical foliation on null hypersurfaces in low regularity	2019	Stefan Czimek Olivier Graf
+	The spacelike-characteristic Cauchy problem of general relativity in low regularity	2019	Stefan Czimek Olivier Graf

Common Coauthors

Coauthor	Papers Together
Gustav Holzegel	5
Stefan Czimek	4

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the Local Existence for the Characteristic Initial Value Problem in General Relativity	2011	Jonathan Luk	4
+ PDF Chat	An Extension Procedure for the Constraint Equations	2017	Stefan Czimek	4
+ PDF Chat	Boundary Harmonic Coordinates on Manifolds with Boundary in Low Regularity	2019	Stefan Czimek	4
+ PDF Chat	New tensorial estimates in Besov spaces for time-dependent (2 + 1)-dimensional problems	2014	Arick Shao	4
+ PDF Chat	Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux	2004	Sergiù Klainerman Igor Rodnianski	3
+ PDF Chat	On the geometry of null cones in Einstein-vacuum spacetimes	2008	Qian Wang	3
+ PDF Chat	Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux	2006	Sergiù Klainerman Igor Rodnianski	3
+ PDF Chat	Parametrix for wave equations on a rough background IV: Control of the error term	2023	Jérémie Szeftel	3
+	The bounded $$L^2$$ L 2 curvature conjecture	2015	Sergiù Klainerman Igor Rodnianski Jérémie Szeftel	3
+ PDF Chat	A geometric approach to the Littlewood–Paley theory	2006	Sergiù Klainerman Igor Rodnianski	3
+ PDF Chat	Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires	1952	Yvonne Fourès-Bruhat	3
+ PDF Chat	The Formation of Black Holes in General Relativity	2009	Demetrios Christodoulou	3
+	CANONICAL FOLIATION ON A NULL HYPERSURFACE	2004	F. Nicolò	3
+ PDF Chat	Sharp Strichartz estimates for the wave equation on a rough background	2016	Jérémie Szeftel	3
+ PDF Chat	Local Propagation of Impulsive GravitationalWaves	2014	Jonathan Luk Igor Rodnianski	3
+ PDF Chat	Parametrix for wave equations on a rough background III : space-time regularity of the phase	2018	Jérémie Szeftel	3
+ PDF Chat	The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field	1999	Demetrios Christodoulou	3
+	Parametrix for wave equations on a rough background II: construction and control at initial time	2012	Jérémie Szeftel	3
+	Parametrix for wave equations on a rough background I: regularity of the phase at initial time	2012	Jérémie Szeftel	3
+ PDF Chat	Existence of maximal surfaces in asymptotically flat spacetimes	1984	Robert Bartnik	2
+	Riemannian Geometry	2016	Peter Petersen	2
+ PDF Chat	The Localised Bounded $$L^2$$-Curvature Theorem	2019	Stefan Czimek	2
+ PDF Chat	The Canonical Foliation On Null Hypersurfaces in Low Regularity	2022	Stefan Czimek Olivier Graf	2
+ PDF Chat	The many ways of the characteristic Cauchy problem	2012	Piotr T. Chruściel Tim-Torben Paetz	2
+ PDF Chat	On the geometry of null cones to infinity under curvature flux bounds	2014	Spyros Alexakis Arick Shao	2
+	On local and global aspects of the Cauchy problem in general relativity	1999	Sergiù Klainerman F. Nicolò	2
+ PDF Chat	A Robust Proof of the Instability of Naked Singularities of a Scalar Field in Spherical Symmetry	2018	Jue Liu Junbin Li	2
+	Bounded variation solutions of the spherically symmetric einstein‐scalar field equations	1993	Demetrios Christodoulou	2
+	Maximal submanifolds and submanifolds with constant mean extrinsic curvature of a lorentzian manifold	1976	Yvonne Choquet–Bruhat	2
+ PDF Chat	Bounds on the Bondi energy by a flux of curvature	2016	Spyros Alexakis Arick Shao	2
+ PDF Chat	The Spacelike-Characteristic Cauchy Problem of General Relativity in Low Regularity	2022	Stefan Czimek Olivier Graf	2
+ PDF Chat	On the formation of trapped surfaces	2012	Sergiù Klainerman Igor Rodnianski	1
+ PDF Chat	Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations	2017	Jonathan Luk Igor Rodnianski	1
+ PDF Chat	Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $$\|a\|\ll M$$	2019	Mihalis Dafermos Gustav Holzegel Igor Rodnianski	1
+ PDF Chat	Lorentzian Einstein metrics with prescribed conformal infinity	2019	Alberto Enciso Niky Kamran	1
+ 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	1
+ PDF Chat	On the local extension of the future null infinity	2018	Junbin Li Xi-Ping Zhu	1
+ PDF Chat	Elliptic boundary value problems for Bessel operators, with applications to anti-de Sitter spacetimes	2018	Oran Gannot	1
+ PDF Chat	Trapped surfaces in vacuum arising dynamically from mild incoming radiation	2017	Xinliang An Jonathan Luk	1
+ PDF Chat	Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space	2019	Gustav Holzegel Jonathan Luk Jacques Smulevici Claude Warnick	1
+	Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $\|a\|<M$: frequency space analysis	2020	Yakov Shlapentokh-Rothman Rita Teixeira da Costa	1
+ PDF Chat	Linear stability of slowly rotating Kerr black holes	2020	Dietrich Häfner Peter Hintz András Vasy	1
+ PDF Chat	Mode stability on the real axis	2017	Lars Andersson Siyuan Ma Claudio F. Paganini B. F. Whiting	1
+ PDF Chat	The Hyperbolic Yang–Mills Equation for Connections in an Arbitrary Topological Class	2018	Sung‐Jin Oh Daniel Tataru	1
+ PDF Chat	Mode Stability for the Teukolsky Equation on Extremal and Subextremal Kerr Spacetimes	2020	Rita Teixeira da Costa	1
+ PDF Chat	The Cauchy Problem on a Characteristic Cone for the Einstein Equations in Arbitrary Dimensions	2011	Yvonne Choquet–Bruhat Piotr T. Chruściel José M. Martín-García	1
+ PDF Chat	Characteristic Initial Data and Smoothness of Scri. I. Framework and Results	2014	Piotr T. Chruściel Tim-Torben Paetz	1
+ PDF Chat	Quasimodes and a lower bound on the uniform energy decay rate for Kerr–AdS spacetimes	2014	Gustav Holzegel Jacques Smulevici	1
+ PDF Chat	Spectral gaps for normally hyperbolic trapping	2016	Semyon Dyatlov	1
+	The Teukolsky–Starobinsky constants: facts and fictions	2021	Marc Casals Rita Teixeira da Costa	1