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PDF
Chat
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A canonical foliation on null infinity in perturbations of Kerr
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2024
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Sergiù Klainerman
Dawei Shen
Jingbo Wan
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PDF
Chat
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Formation of Trapped Surfaces in Geodesic Foliation
|
2024
|
Xinhua Chen
Sergiù Klainerman
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+
PDF
Chat
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Regularity of the Future Event Horizon in Perturbations of Kerr
|
2024
|
Xinhua Chen
Sergiù Klainerman
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+
PDF
Chat
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Brief introduction to the nonlinear stability of Kerr
|
2024
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Sergiù Klainerman
Jérémie Szeftel
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+
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Kerr stability for small angular momentum
|
2023
|
Sergiù Klainerman
Jérémie Szeftel
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+
PDF
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Effective Results on Uniformization and Intrinsic GCM Spheres in Perturbations of Kerr
|
2022
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Sergiù Klainerman
Jérémie Szeftel
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+
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Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes
|
2022
|
Elena E. Giorgi
Sergiù Klainerman
Jérémie Szeftel
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+
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Brief introduction to the nonlinear stability of Kerr
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2022
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Sergiù Klainerman
Jérémie Szeftel
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+
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Kerr stability for small angular momentum
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2021
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Sergiù Klainerman
Jérémie Szeftel
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+
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5 Decay Estimates for q (Theorem M1)
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2020
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Jérémie Szeftel
Sergiù Klainerman
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+
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10 Regge-Wheeler Type Equations
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2020
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Jérémie Szeftel
Sergiù Klainerman
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+
PDF
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
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2020
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Jérémie Szeftel
Sergiù Klainerman
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+
PDF
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
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2020
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Jérémie Szeftel
Sergiù Klainerman
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Decay Estimates for α and α (Theorems M2, M3)
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2020
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Sergiù Klainerman
Jérémie Szeftel
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+
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Regge-Wheeler Type Equations
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2020
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Sergiù Klainerman
Jérémie Szeftel
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+
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Decay Estimates (Theorems M4, M5)
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2020
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Sergiù Klainerman
Jérémie Szeftel
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+
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Decay Estimates for q (Theorem M1)
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2020
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Sergiù Klainerman
Jérémie Szeftel
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+
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Main Theorem
|
2020
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Sergiù Klainerman
Jérémie Szeftel
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+
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GCM Procedure
|
2020
|
Sergiù Klainerman
Jérémie Szeftel
|
+
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
|
2020
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Sergiù Klainerman
Jérémie Szeftel
|
+
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A general formalism for the stability of Kerr
|
2020
|
Elena Giorgi
Sergiù Klainerman
Jérémie Szeftel
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+
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Constructions of GCM spheres in perturbations of Kerr
|
2019
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Sergiù Klainerman
Jérémie Szeftel
|
+
PDF
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Global Solution for Massive Maxwell‐Klein‐Gordon Equations
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2019
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Sergiù Klainerman
Qian Janice Wang
Shiwu Yang
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+
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Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr
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2019
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Sergiù Klainerman
Jérémie Szeftel
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+
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Constructions of GCM spheres in perturbations of Kerr
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2019
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Sergiù Klainerman
Jérémie Szeftel
|
+
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Global solution for massive Maxwell-Klein-Gordon equations
|
2018
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Sergiù Klainerman
Qian Janice Wang
Shiwu Yang
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+
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
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2017
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Sergiù Klainerman
Jérémie Szeftel
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PDF
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On Nash’s unique contribution to analysis in just three of his papers
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2016
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Sergiù Klainerman
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PDF
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The resolution of the bounded L 2 curvature conjecture in general relativity
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2016
|
Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
|
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PDF
Chat
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Small-data shock formation in solutions to 3D quasilinear wave equations: An overview
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2016
|
Gustav Holzegel
Sergiù Klainerman
Jared Speck
Willie Wai-Yeung Wong
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PDF
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On the Global Stability of the Wave-map Equation in Kerr Spaces with Small Angular Momentum
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2015
|
Alexandru D. Ionescu
Sergiù Klainerman
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PDF
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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
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2015
|
Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
|
+
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Rigidity Results in General Relativity: a Review
|
2015
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Alexandru D. Ionescu
Sergiù Klainerman
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+
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The bounded $$L^2$$ L 2 curvature conjecture
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2015
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Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
|
+
PDF
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Rigidity results in general relativity: A review
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2015
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Alexandru D. Ionescu
Sergiù Klainerman
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+
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Rigidity Results in General Relativity: a Review
|
2015
|
Alexandru D. Ionescu
Sergiù Klainerman
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+
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Chapter Ten. On the Bounded L<sup>2</sup> Curvature Conjecture
|
2014
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Sergiù Klainerman
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PDF
Chat
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Rigidity of stationary black holes with small angular momentum on the horizon
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2014
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Spyros Alexakis
Alexandru D. Ionescu
Sergiù Klainerman
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PDF
Chat
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A fully anisotropic mechanism for formation of trapped surfaces in vacuum
|
2014
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Sergiù Klainerman
Jonathan Luk
Igor Rodnianski
|
+
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On the global stability of the wave-map equation in Kerr spaces with small angular momentum
|
2014
|
Alexandru D. Ionescu
Sergiù Klainerman
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+
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The resolution of the bounded L2 curvature conjecture in general relativity
|
2014
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Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
|
+
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RECENT RESULTS IN MATHEMATICAL GR
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2013
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Sergiù Klainerman
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+
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On the dynamic formation of trapped surfaces in vacuum
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2013
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Sergiù Klainerman
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+
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On the local extension of Killing vector-fields in Ricci flat manifolds
|
2012
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Alexandru D. Ionescu
Sergiù Klainerman
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+
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Overview of the proof of the Bounded L 2 Curvature Conjecture
|
2012
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Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
|
+
PDF
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On the Formation of Trapped Surfaces
|
2012
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Sergiù Klainerman
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+
PDF
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On the formation of trapped surfaces
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2012
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Sergiù Klainerman
Igor Rodnianski
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+
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Overview of the proof of the Bounded $L^2$ Curvature Conjecture
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2012
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Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
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+
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The Bounded L2 Curvature Conjecture
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2012
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Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
|
+
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On the local extension of Killing vector-fields in Ricci flat manifolds
|
2011
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Alexandru D. Ionescu
Sergiù Klainerman
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+
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On the local extension of Killing vector-fields in Ricci flat manifolds
|
2011
|
Alexandru D. Ionescu
Sergiù Klainerman
|
+
PDF
Chat
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Hawking’s Local Rigidity Theorem Without Analyticity
|
2010
|
Spyros Alexakis
Alexandru D. Ionescu
Sergiù Klainerman
|
+
PDF
Chat
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Uniqueness of Smooth Stationary Black Holes in Vacuum: Small Perturbations of the Kerr Spaces
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2010
|
Spyros Alexakis
Alexandru D. Ionescu
Sergiù Klainerman
|
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PDF
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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
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2010
|
Sergiù Klainerman
Igor Rodnianski
Jérémie Szeftel
|
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On emerging scarred surfaces for the Einstein vacuum equations
|
2010
|
Sergiù Klainerman
Igor Rodnianski
|
+
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PDE as a Unified Subject
|
2010
|
Sergiù Klainerman
|
+
PDF
Chat
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On emerging scarred surfaces for the Einstein vacuum equations
|
2010
|
Sergiù Klainerman
Igor Rodnianski
|
+
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Mathematical Aspects of Nonlinear Dispersive Equations (AM-163)
|
2009
|
Jean Bourgain
Carlos E. Kenig
Sergiù Klainerman
|
+
PDF
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On the breakdown criterion in general relativity
|
2009
|
Sergiù Klainerman
Igor Rodnianski
|
+
|
Hawking's local rigidity theorem without analyticity
|
2009
|
Spyros Alexakis
Alexandru D. Ionescu
Sergiù Klainerman
|
+
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On the formation of trapped surfaces
|
2009
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
Chat
|
Uniqueness Results for Ill-Posed Characteristic Problems in Curved Space-Times
|
2008
|
Alexandru D. Ionescu
Sergiù Klainerman
|
+
PDF
Chat
|
On the uniqueness of smooth, stationary black holes in vacuum
|
2008
|
Alexandru D. Ionescu
Sergiù Klainerman
|
+
PDF
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Sharp $L^1$ estimates for singular transport equations
|
2008
|
Sergiù Klainerman
Igor Rodnianski
|
+
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On the radius of injectivity of null hypersurfaces
|
2008
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
Chat
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On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy
|
2008
|
Sergiù Klainerman
Matei Machedon
|
+
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On the breakdown criterion in General Relativity
|
2008
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
Chat
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A KIRCHOFF–SOBOLEV PARAMETRIX FOR THE WAVE EQUATION AND APPLICATIONS
|
2007
|
Sergiù Klainerman
Igor Rodnianski
|
+
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Sharp $L^1$ estimates for singular transport equations
|
2007
|
Sergiù Klainerman
Igor Rodnianski
|
+
|
Mathematical aspects of nonlinear dispersive equations
|
2007
|
Jean Bourgain
Carlos E. Kenig
Sergiù Klainerman
|
+
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Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity
|
2007
|
Sergiù Klainerman
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+
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Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity
|
2007
|
Sergiù Klainerman
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+
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Sharp $L^1$ estimates for singular transport equations
|
2007
|
Sergiù Klainerman
Igor Rodnianski
|
+
|
Mathematical challenges of General Relativity
|
2007
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Sergiù Klainerman
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+
PDF
Chat
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A geometric approach to the Littlewood–Paley theory
|
2006
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
Chat
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Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
|
2006
|
Sergiù Klainerman
Igor Rodnianski
|
+
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A Kirchoff-Sobolev parametrix for the wave equation and applications
|
2006
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Sergiù Klainerman
Igor Rodnianski
|
+
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On the radius of injectivity of null hypersurfaces
|
2006
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Sergiù Klainerman
Igor Rodnianski
|
+
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BILINEAR ESTIMATES ON CURVED SPACE–TIMES
|
2005
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
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Rough solutions of the Einstein-vacuum equations
|
2005
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
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The causal structure of microlocalized rough Einstein metrics
|
2005
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
Chat
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Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux
|
2004
|
Sergiù Klainerman
Igor Rodnianski
|
+
PDF
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Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
|
2004
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Sergiù Klainerman
F. Nicol�
|
+
PDF
Chat
|
RICCI DEFECTS OF MICROLOCALIZED EINSTEIN METRICS
|
2004
|
Sergiù Klainerman
Igor Rodnianski
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+
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Noncompact Problems at the Intersection of Geometry, Analysis, and Topology
|
2004
|
Abbas Bahri
Sergiù Klainerman
Michael Vogelius
|
+
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Noncompact problems at the intersection of geometry, analysis, and topology : proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ
|
2004
|
Abbas Bahri
Sergiù Klainerman
Michael Vogelius
H. Brézis
Felix E. Browder
|
+
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A geometric approach to the Littlewood-Paley theory
|
2003
|
Sergiù Klainerman
Igor Rodnianski
|
+
|
Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
|
2003
|
Sergiù Klainerman
F. Nicol�
|
+
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The Cauchy Problem of General Relativity (Part I)
|
2003
|
Sergiù Klainerman
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+
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Improved local well-posedness for quasilinear wave equations in dimension three
|
2003
|
Sergiù Klainerman
Igor Rodnianski
|
+
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The Initial Hypersurface and the Last Slice
|
2003
|
Sergiù Klainerman
F. Nicolò
|
+
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Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
|
2003
|
Sergiù Klainerman
Igor Rodnianski
|
+
|
A geometric approach to the Littlewood-Paley theory
|
2003
|
Sergiù Klainerman
Igor Rodnianski
|
+
|
The Error Estimates
|
2003
|
Sergiù Klainerman
F. Nicolò
|
+
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Definitions and Results
|
2003
|
Sergiù Klainerman
F. Nicolò
|
+
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MATHEMATICAL CHALLENGES OF GENERAL RELATIVITY
|
2002
|
Sergiù Klainerman
|
+
PDF
Chat
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A physical space approach to wave equation bilinear estimates
|
2002
|
Sergiù Klainerman
Igor Rodnianski
Terence Tao
|
+
PDF
Chat
|
BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
|
2002
|
Sergiù Klainerman
Sigmund Selberg
|
+
PDF
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Regularity and geometric properties of solutions of the Einstein-Vacuum equations
|
2002
|
Sergiù Klainerman
Igor Rodnianski
|
+
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A new approach to study the Vlasov-Maxwell system
|
2002
|
Sergiù Klainerman
Gigliola Staffilani
|
+
PDF
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Rough solutions of the Einstein vacuum equations
|
2002
|
Sergiù Klainerman
Igor Rodnianski
|
+
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None
|
2001
|
Sergiù Klainerman
Igor Rodnianski
|
+
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None
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2001
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Sergiù Klainerman
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+
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Ricci defects of microlocalized Einstein metrics
|
2001
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Sergiù Klainerman
Igor Rodnianski
|
+
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Bilinear Estimates and Applications to Nonlinear Wave Equations
|
2001
|
Sergiù Klainerman
Sigmund Selberg
|
+
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The causal structure of microlocalized Einstein metrics
|
2001
|
Sergiù Klainerman
Igor Rodnianski
|
+
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Rough solution for the Einstein Vacuum equations
|
2001
|
Sergiù Klainerman
Igor Rodnianski
|
+
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A physical space approach to wave equation bilinear estimates
|
2001
|
Sergiù Klainerman
Igor Rodnianski
Terence Tao
|
+
PDF
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Bilinear space-time estimates for homogeneous wave equations
|
2000
|
Damiano Foschi
Sergiù Klainerman
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+
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A Commuting Vectorfields Approach to Strichartz type Inequalities and Applications to Quasilinear Wave Equations
|
2000
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Sergiù Klainerman
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+
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On the Global Regularity of Wave Maps in the Critical Sobolev Norm
|
2000
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Sergiù Klainerman
Igor Rodnianski
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+
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On local and global aspects of the Cauchy problem in general relativity
|
1999
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Sergiù Klainerman
F. Nicolò
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+
PDF
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On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹
|
1999
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Sergiù Klainerman
Daniel Tataru
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+
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On bilinear estimates for wave equations
|
1999
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Sergiù Klainerman
Damiano Foschi
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+
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On the work and legacy of Fritz John, 1934–1991
|
1998
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Sergiù Klainerman
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+
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On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces
|
1998
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Sergiù Klainerman
Matei Machedon
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+
PDF
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On bilinear restriction type estimates and applications to nonlinear wave equations
|
1998
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Sergiù Klainerman
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+
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On the regularity properties of a model problem related to wave maps
|
1997
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Sergiù Klainerman
Matei Machedon
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+
PDF
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On the optimal local regularity for gauge field theories
|
1997
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Sergiù Klainerman
Matei Machedon
|
+
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On the Regularity of Classical Field Theories in Minkowski Space-Time R3+1
|
1997
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Sergiù Klainerman
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+
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Remark on the optimal regularity for equations of wave maps type
|
1997
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Sergiù Klainerman
Sigmund Selberg
|
+
PDF
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On the regularity properties of non-linear wave equations
|
1997
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Sergiù Klainerman
Matei Machedon
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+
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On almost global existence for nonrelativistic wave equations in 3D
|
1996
|
Sergiù Klainerman
Thomas C. Sideris
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+
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None
|
1996
|
Sergiù Klainerman
Matei Machedon
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+
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Finite Energy Solutions of the Yang-Mills Equations in ℝ 3+1
|
1995
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Sergiù Klainerman
Matei Machedon
|
+
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Smoothing estimates for null forms and applications
|
1995
|
Sergiù Klainerman
Matei Machedon
|
+
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On the Maxwell-Klein-Gordon equation with finite energy
|
1994
|
Sergiù Klainerman
Matei Machedon
|
+
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On the Regularity Properties of the Wave Equation
|
1994
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Sergiù Klainerman
Matei Machedon
|
+
|
None
|
1994
|
Sergiù Klainerman
Matei Machedon
|
+
|
Space‐time estimates for null forms and the local existence theorem
|
1993
|
Sergiù Klainerman
Matei Machedon
|
+
|
Remark on the asymptotic behavior of the klein gordon equation in ℝ<sup><i>n</i>+1</sup>
|
1993
|
Sergiù Klainerman
|
+
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Decay and regularity for the schrödinger equation
|
1992
|
Matania Ben‐Artzi
Sergiù Klainerman
|
+
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Mathematical Theory of Classical Fields and General Relativity
|
1992
|
Sergiù Klainerman
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+
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Asymptotic properties of linear field equations in minkowski space
|
1990
|
Demetrios Christodoulou
Sergiù Klainerman
|
+
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The nonlinear stability of the Minkowski metric in general relativity
|
1989
|
Demetrios Christodoulou
Sergiù Klainerman
|
+
|
Remarks on the global sobolev inequalities in the minkowski space R<sup>n+1</sup>
|
1987
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Sergiù Klainerman
|
+
PDF
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Linear and nonlinear field equations
|
1987
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Sergiù Klainerman
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+
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Global Existence of Small Amplitude Solutions to Nonlinear Klein-Gordon Equations in Four Space-Time Dimensions
|
1987
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Sergiù Klainerman
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+
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Einstein Geometry and Hyperbolic Equations
|
1987
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Sergiù Klainerman
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+
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Global existence of small amplitude solutions to nonlinear klein‐gordon equations in four space‐time dimensions
|
1985
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Sergiù Klainerman
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+
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Uniform decay estimates and the lorentz invariance of the classical wave equation
|
1985
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Sergiù Klainerman
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+
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Commentary on [77], [85], [92], and [94]
|
1985
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Sergiù Klainerman
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+
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Commentary on [77], [85], [92], and [94]
|
1985
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Sergiù Klainerman
|
+
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Almost global existence to nonlinear wave equations in three space dimensions
|
1984
|
Franklin John
Sergiù Klainerman
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+
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Weighted L∞ and L<sup>1</sup> estimates for solutions to the classical wave equation in three space dimensions
|
1984
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Sergiù Klainerman
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+
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On “almost global” solutions to quasilinear wave equations in three space dimensions
|
1983
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Sergiù Klainerman
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+
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Global, small amplitude solutions to nonlinear evolution equations
|
1983
|
Sergiù Klainerman
Gustavo Ponce
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+
|
Compressible and incompressible fluids
|
1982
|
Sergiù Klainerman
Andrew J. Majda
|
+
|
Long-time behavior of solutions to nonlinear evolution equations
|
1982
|
Sergiù Klainerman
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+
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Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
|
1981
|
Sergiù Klainerman
Andrew J. Majda
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+
|
Explicit solutions of $\square u = 0$ on the Friedmann-Robertson-Walker space-times
|
1981
|
Sergiù Klainerman
Peter Sarnak
|
+
|
Formation of singularities for wave equations including the nonlinear vibrating string
|
1980
|
Sergiù Klainerman
Andrew J. Majda
|
+
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Global existence for nonlinear wave equations
|
1980
|
Sergiù Klainerman
|