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Author ID: klainerman.sergiu Recent zbMATH articles by "Klainerman, Sergiu"
Published as: Klainerman, Sergiu; Klainerman, S.
Homepage: https://web.math.princeton.edu/~seri/homepage/seri.htm
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all top 5

Serials

17 Communications on Pure and Applied Mathematics
6 IMRN. International Mathematics Research Notices
5 Duke Mathematical Journal
5 Journal of Hyperbolic Differential Equations
4 Inventiones Mathematicae
4 Journal of the American Mathematical Society
3 Classical and Quantum Gravity
3 Communications in Mathematical Physics
3 Geometric and Functional Analysis. GAFA
3 Annals of Mathematics. Second Series
3 Annals of PDE
2 Journal d’Analyse Mathématique
2 Séminaire Équations aux Dérivées Partielles
2 Annals of Mathematics Studies
1 Archive for Rational Mechanics and Analysis
1 Acta Mathematica
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Differential and Integral Equations
1 Communications in Partial Differential Equations
1 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 International Journal of Modern Physics D
1 Discrete and Continuous Dynamical Systems
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Contemporary Mathematics
1 Princeton Mathematical Series
1 Progress in Mathematical Physics
1 Séminaire Laurent Schwartz. EDP et Applications

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 3,877 times in 2,142 Documents Cited by Year
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
418
1981
The global nonlinear stability of the Minkowski space. Zbl 0827.53055
Christodoulou, Demetrios; Klainerman, Sergiu
261
1993
Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059
Klainerman, Sergiu
236
1985
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
219
1982
Space-time estimates for null forms and the local existence theorem. Zbl 0803.35095
Klainerman, S.; Machedon, M.
168
1993
Global existence for nonlinear wave equations. Zbl 0405.35056
Klainerman, Sergiu
160
1980
The null condition and global existence to nonlinear wave equations. Zbl 0599.35105
Klainerman, S.
146
1986
Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Zbl 0597.35100
Klainerman, Sergiu
134
1985
Global, small amplitude solutions to nonlinear evolution equations. Zbl 0509.35009
Klainerman, S.; Ponce, Gustavo
126
1983
Almost global existence to nonlinear wave equations in three space dimensions. Zbl 0599.35104
John, Fritz; Klainerman, S.
96
1984
Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040
Klainerman, Sergiu; Majda, Andrew
85
1980
On almost global existence for nonrelativistic wave equations in 3D. Zbl 0867.35064
Klainerman, Sergiu; Sideris, Thomas C.
80
1996
Long-time behavior of solutions to nonlinear evolution equations. Zbl 0502.35015
Klainerman, Sergiu
79
1982
On the Maxwell-Klein-Gordon equation with finite energy. Zbl 0818.35123
Klainerman, S.; Machedon, M.
77
1994
Smoothing estimates for null forms and applications. Zbl 0909.35094
Klainerman, S.; Machedon, M.
72
1995
On the uniqueness of solutions to the Gross-Pitaevskii hierarchy. Zbl 1147.37034
Klainerman, Sergiu; Machedon, Matei
70
2008
Remarks on the global Sobolev inequalities in the Minkowski space \({\mathbb{R}}^{n+1}\). Zbl 0686.46019
Klainerman, S.
65
1987
The global nonlinear stability of the Minkowski space. Zbl 0733.35105
Christodoulou, D.; Klainerman, S.
62
1990
Decay and regularity for the Schrödinger equation. Zbl 0802.35057
Ben-Artzi, Matania; Klainerman, Sergiu
62
1992
Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\). Zbl 0827.53056
Klainerman, S.; Machedon, M.
61
1995
Bilinear estimates and applications to nonlinear wave equations. Zbl 1146.35389
Klainerman, Sergiu; Selberg, Sigmund
61
2002
The bounded \(L^2\) curvature conjecture. Zbl 1330.53089
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie
55
2015
The evolution problem in general relativity. Zbl 1010.83004
Klainerman, S.; Nicolò, Francesco
55
2003
On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
51
1999
Bilinear space-time estimates for homogeneous wave equations. Zbl 0959.35107
Foschi, Damiano; Klainerman, Sergiu
43
2000
Remark on the optimal regularity for equations of wave maps type. Zbl 0884.35102
Klainerman, Sergiu; Selberg, Sigmund
39
1997
Asymptotic properties of linear field equations in Minkowski space. Zbl 0715.35076
Christodoulou, D.; Klainerman, S.
38
1990
A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080
Klainerman, S.; Rodnianski, I.
36
2006
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
35
2002
On the uniqueness of smooth, stationary black holes in vacuum. Zbl 1182.83005
Ionescu, Alexandru D.; Klainerman, Sergiu
34
2009
Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006
Klainerman, Sergiu; Rodnianski, Igor
33
2005
Remark on Strichartz-type inequalities. (Appendices by Jean Bourgain and Daniel Tataru). Zbl 0853.35062
Klainerman, Sergiu; Machedon, Matei
33
1996
On the formation of trapped surfaces. Zbl 1246.83028
Klainerman, Sergiu; Rodnianski, Igor
32
2012
Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018
Klainerman, Sergiu; Rodnianski, Igor
32
2005
Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091
Klainerman, S.; Rodnianski, I.
30
2003
On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009
Klainerman, Sergiu; Rodnianski, Igor
29
2001
Uniqueness of smooth stationary black holes in vacuum: Small perturbations of the Kerr spaces. Zbl 1200.83059
Alexakis, S.; Ionescu, A. D.; Klainerman, S.
28
2010
Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Zbl 1045.83016
Klainerman, Sergiu; Nicolò, Francesco
26
2003
Small-data shock formation in solutions to 3D quasilinear wave equations: an overview. Zbl 1346.35005
Holzegel, Gustav; Klainerman, Sergiu; Speck, Jared; Wong, Willie Wai-Yeung
25
2016
On the regularity properties of a model problem related to wave maps. Zbl 0878.35075
Klainerman, Sergiu; Machedon, Matei
24
1997
A commuting vectorfields approach to Strichartz-type inequalities and applications to quasi-linear wave equations. Zbl 0993.35022
Klainerman, S.
21
2001
On the breakdown criterion in general relativity. Zbl 1203.35084
Klainerman, Sergiu; Rodnianski, Igor
21
2010
Global nonlinear stability of Schwarzschild spacetime under polarized perturbations. Zbl 1469.83002
Klainerman, Sergiu; Szeftel, Jérémie
20
2020
On local and global aspects of the Cauchy problem in general relativity. Zbl 0944.83001
Klainerman, Sergiu; Nicolò, Francesco
20
1999
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081
Klainerman, S.; Rodnianski, I.
20
2006
Hawking’s local rigidity theorem without analyticity. Zbl 1200.35302
Alexakis, Spyros; Ionescu, Alexandru D.; Klainerman, Sergiu
20
2010
On ”almost global” solutions to quasilinear wave equations in three space dimensions. Zbl 0522.35063
Klainerman, S.
19
1983
Remark on the asymptotic behavior of the Klein-Gordon equation in \(\mathbb{R}^{n+1}\). Zbl 0805.35104
Klainerman, S.
18
1993
On the radius of injectivity of null hypersurfaces. Zbl 1198.53057
Klainerman, Sergiu; Rodnianski, Igor
18
2008
Estimates for null forms and the spaces \(\mathbb{H}_{s,\delta}\). Zbl 0909.35095
Klainerman, Sergiu; Machedon, Matei
17
1996
Weighted \(L^{\infty}\) and \(L^ 1\) estimates for solutions to the classical wave equation in three space dimensions. Zbl 0583.35068
Klainerman, Sergiu
17
1984
A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311
Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor
16
2014
Uniqueness results for ill-posed characteristic problems in curved space-times. Zbl 1179.35338
Ionescu, Alexandru D.; Klainerman, Sergiu
16
2009
On the optimal local regularity for gauge field theories. Zbl 0940.35011
Klainerman, Sergiu; Machedon, Matei
16
1997
Smoothing estimates for null forms and applications. Zbl 0832.35096
Klainerman, S.; Machedon, M.
15
1994
The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007
Klainerman, Sergiu; Rodnianski, Igor
13
2005
A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042
Klainerman, Sergiu; Rodnianski, Igor
13
2007
Long time behaviour of solutions to nonlinear wave equations. Zbl 0581.35052
Klainerman, Sergiu
12
1984
Global solution for massive Maxwell-Klein-Gordon equations. Zbl 1433.35386
Klainerman, Sergiu; Wang, Qian; Yang, Shiwu
11
2020
Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051
Klainerman, Sergiu; Rodnianski, Igor
10
2004
On the local extension of Killing vector-fields in Ricci flat manifolds. Zbl 1276.53023
Ionescu, Alexandru D.; Klainerman, Sergiu
10
2013
On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006
Ionescu, Alexandru D.; Klainerman, Sergiu
9
2015
PDE as a unified subject. Special volume of the journal Geometric and Functional Analysis. Zbl 1002.35002
Klainerman, Sergiu
9
2000
On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225
Klainerman, Sergiu; Rodnianski, Igor
9
2010
On the algebraic properties of the \(H_{n/2,1/2}\) spaces. Zbl 0919.46023
Klainerman, Sergiu; Machedon, Matei
8
1998
Rigidity of stationary black holes with small angular momentum on the horizon. Zbl 1311.35309
Alexakis, S.; Ionescu, A. D.; Klainerman, S.
8
2014
On the work and legacy of Fritz John, 1934-1991. Zbl 0929.01041
Klainerman, S.
7
1998
A physical space approach to wave equation bilinear estimates. Zbl 1028.35111
Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence
7
2002
On the regularity properties of the wave equation. Zbl 0833.35093
Klainerman, S.; Machedon, M.
6
1994
Rigidity results in general relativity: a review. Zbl 1339.83010
Ionescu, Alexandru D.; Klainerman, Sergiu
6
2015
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
On Nash’s unique contribution to analysis in just three of his papers. Zbl 1364.35007
Klainerman, Sergiu
5
2017
Explicit solutions of box u=0 on the Friedmann-Robertson-Walker space- times. Zbl 0499.58028
Klainerman, S.; Sarnak, P.
5
1981
Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Zbl 0627.35082
Klainerman, S.
4
1987
On the regularity of classical field theories in Minkowski space-time \(\mathbb{R}^{3+1}\). Zbl 0909.53051
Klainerman, S.
3
1997
Long time behaviour of solutions to nonlinear wave equations. Zbl 0578.35059
Klainerman, S.
3
1985
Mathematical challenges of general relativity. Zbl 1215.35157
Klainerman, Sergiu
3
2007
The nonlinear stability of the Minkowski metric in general relativity. Zbl 0695.53061
Christodoulou, D.; Klainerman, S.
2
1989
Sharp \(L^1\) estimates for singular transport equations. Zbl 1144.35358
Klainerman, Sergiu; Rodnianski, Igor
2
2008
Linear stability of black holes (following M. Dafermos and I. Rodnianski). Zbl 1361.53002
Klainerman, Sergiu
1
2011
Einstein geometry and hyperbolic equations. Zbl 0648.53047
Klainerman, S.
1
1988
The resolution of the bounded \(L^2\) curvature conjecture in general relativity. Zbl 1373.83018
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jérémie
1
2014
On the bounded \(L^2\)-curvature conjecture. Zbl 1304.53072
Klainerman, Sergiu
1
2014
Corrigendum: Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Zbl 1057.83512
Klainerman, S.; Nicolò, F.
1
2004
Mathematical challenges of general relativity. Zbl 1032.83001
Klainerman, Sergiu
1
2002
Recent results in mathematical GR. Zbl 1267.83012
Klainerman, Sergiu
1
2013
Fourier analysis and nonlinear wave equations. Zbl 0902.35074
Klainerman, Sergiu
1
1998
Construction of GCM spheres in perturbations of Kerr. Zbl 07600219
Klainerman, Sergiu; Szeftel, Jérémie
1
2022
Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr. Zbl 07600220
Klainerman, Sergiu; Szeftel, Jérémie
1
2022
Construction of GCM spheres in perturbations of Kerr. Zbl 07600219
Klainerman, Sergiu; Szeftel, Jérémie
1
2022
Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr. Zbl 07600220
Klainerman, Sergiu; Szeftel, Jérémie
1
2022
Global nonlinear stability of Schwarzschild spacetime under polarized perturbations. Zbl 1469.83002
Klainerman, Sergiu; Szeftel, Jérémie
20
2020
Global solution for massive Maxwell-Klein-Gordon equations. Zbl 1433.35386
Klainerman, Sergiu; Wang, Qian; Yang, Shiwu
11
2020
On Nash’s unique contribution to analysis in just three of his papers. Zbl 1364.35007
Klainerman, Sergiu
5
2017
Small-data shock formation in solutions to 3D quasilinear wave equations: an overview. Zbl 1346.35005
Holzegel, Gustav; Klainerman, Sergiu; Speck, Jared; Wong, Willie Wai-Yeung
25
2016
The bounded \(L^2\) curvature conjecture. Zbl 1330.53089
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie
55
2015
On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006
Ionescu, Alexandru D.; Klainerman, Sergiu
9
2015
Rigidity results in general relativity: a review. Zbl 1339.83010
Ionescu, Alexandru D.; Klainerman, Sergiu
6
2015
A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311
Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor
16
2014
Rigidity of stationary black holes with small angular momentum on the horizon. Zbl 1311.35309
Alexakis, S.; Ionescu, A. D.; Klainerman, S.
8
2014
The resolution of the bounded \(L^2\) curvature conjecture in general relativity. Zbl 1373.83018
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jérémie
1
2014
On the bounded \(L^2\)-curvature conjecture. Zbl 1304.53072
Klainerman, Sergiu
1
2014
On the local extension of Killing vector-fields in Ricci flat manifolds. Zbl 1276.53023
Ionescu, Alexandru D.; Klainerman, Sergiu
10
2013
Recent results in mathematical GR. Zbl 1267.83012
Klainerman, Sergiu
1
2013
On the formation of trapped surfaces. Zbl 1246.83028
Klainerman, Sergiu; Rodnianski, Igor
32
2012
Linear stability of black holes (following M. Dafermos and I. Rodnianski). Zbl 1361.53002
Klainerman, Sergiu
1
2011
Uniqueness of smooth stationary black holes in vacuum: Small perturbations of the Kerr spaces. Zbl 1200.83059
Alexakis, S.; Ionescu, A. D.; Klainerman, S.
28
2010
On the breakdown criterion in general relativity. Zbl 1203.35084
Klainerman, Sergiu; Rodnianski, Igor
21
2010
Hawking’s local rigidity theorem without analyticity. Zbl 1200.35302
Alexakis, Spyros; Ionescu, Alexandru D.; Klainerman, Sergiu
20
2010
On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225
Klainerman, Sergiu; Rodnianski, Igor
9
2010
On the uniqueness of smooth, stationary black holes in vacuum. Zbl 1182.83005
Ionescu, Alexandru D.; Klainerman, Sergiu
34
2009
Uniqueness results for ill-posed characteristic problems in curved space-times. Zbl 1179.35338
Ionescu, Alexandru D.; Klainerman, Sergiu
16
2009
On the uniqueness of solutions to the Gross-Pitaevskii hierarchy. Zbl 1147.37034
Klainerman, Sergiu; Machedon, Matei
70
2008
On the radius of injectivity of null hypersurfaces. Zbl 1198.53057
Klainerman, Sergiu; Rodnianski, Igor
18
2008
Sharp \(L^1\) estimates for singular transport equations. Zbl 1144.35358
Klainerman, Sergiu; Rodnianski, Igor
2
2008
A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042
Klainerman, Sergiu; Rodnianski, Igor
13
2007
Mathematical challenges of general relativity. Zbl 1215.35157
Klainerman, Sergiu
3
2007
A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080
Klainerman, S.; Rodnianski, I.
36
2006
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081
Klainerman, S.; Rodnianski, I.
20
2006
Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006
Klainerman, Sergiu; Rodnianski, Igor
33
2005
Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018
Klainerman, Sergiu; Rodnianski, Igor
32
2005
The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007
Klainerman, Sergiu; Rodnianski, Igor
13
2005
Bilinear estimates on curved space-times. Zbl 1284.58018
Klainerman, Sergiu; Rodnianski, Igor
6
2005
Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051
Klainerman, Sergiu; Rodnianski, Igor
10
2004
Corrigendum: Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Zbl 1057.83512
Klainerman, S.; Nicolò, F.
1
2004
The evolution problem in general relativity. Zbl 1010.83004
Klainerman, S.; Nicolò, Francesco
55
2003
Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091
Klainerman, S.; Rodnianski, I.
30
2003
Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Zbl 1045.83016
Klainerman, Sergiu; Nicolò, Francesco
26
2003
Bilinear estimates and applications to nonlinear wave equations. Zbl 1146.35389
Klainerman, Sergiu; Selberg, Sigmund
61
2002
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
35
2002
A physical space approach to wave equation bilinear estimates. Zbl 1028.35111
Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence
7
2002
Rough solutions of the Einstein vacuum equations. Zbl 1008.35079
Klainerman, Sergiu; Rodnianski, Igor
6
2002
Mathematical challenges of general relativity. Zbl 1032.83001
Klainerman, Sergiu
1
2002
On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009
Klainerman, Sergiu; Rodnianski, Igor
29
2001
A commuting vectorfields approach to Strichartz-type inequalities and applications to quasi-linear wave equations. Zbl 0993.35022
Klainerman, S.
21
2001
Bilinear space-time estimates for homogeneous wave equations. Zbl 0959.35107
Foschi, Damiano; Klainerman, Sergiu
43
2000
PDE as a unified subject. Special volume of the journal Geometric and Functional Analysis. Zbl 1002.35002
Klainerman, Sergiu
9
2000
On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
51
1999
On local and global aspects of the Cauchy problem in general relativity. Zbl 0944.83001
Klainerman, Sergiu; Nicolò, Francesco
20
1999
On the algebraic properties of the \(H_{n/2,1/2}\) spaces. Zbl 0919.46023
Klainerman, Sergiu; Machedon, Matei
8
1998
On the work and legacy of Fritz John, 1934-1991. Zbl 0929.01041
Klainerman, S.
7
1998
Fourier analysis and nonlinear wave equations. Zbl 0902.35074
Klainerman, Sergiu
1
1998
Remark on the optimal regularity for equations of wave maps type. Zbl 0884.35102
Klainerman, Sergiu; Selberg, Sigmund
39
1997
On the regularity properties of a model problem related to wave maps. Zbl 0878.35075
Klainerman, Sergiu; Machedon, Matei
24
1997
On the optimal local regularity for gauge field theories. Zbl 0940.35011
Klainerman, Sergiu; Machedon, Matei
16
1997
On the regularity of classical field theories in Minkowski space-time \(\mathbb{R}^{3+1}\). Zbl 0909.53051
Klainerman, S.
3
1997
On almost global existence for nonrelativistic wave equations in 3D. Zbl 0867.35064
Klainerman, Sergiu; Sideris, Thomas C.
80
1996
Remark on Strichartz-type inequalities. (Appendices by Jean Bourgain and Daniel Tataru). Zbl 0853.35062
Klainerman, Sergiu; Machedon, Matei
33
1996
Estimates for null forms and the spaces \(\mathbb{H}_{s,\delta}\). Zbl 0909.35095
Klainerman, Sergiu; Machedon, Matei
17
1996
Smoothing estimates for null forms and applications. Zbl 0909.35094
Klainerman, S.; Machedon, M.
72
1995
Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\). Zbl 0827.53056
Klainerman, S.; Machedon, M.
61
1995
On the Maxwell-Klein-Gordon equation with finite energy. Zbl 0818.35123
Klainerman, S.; Machedon, M.
77
1994
Smoothing estimates for null forms and applications. Zbl 0832.35096
Klainerman, S.; Machedon, M.
15
1994
On the regularity properties of the wave equation. Zbl 0833.35093
Klainerman, S.; Machedon, M.
6
1994
The global nonlinear stability of the Minkowski space. Zbl 0827.53055
Christodoulou, Demetrios; Klainerman, Sergiu
261
1993
Space-time estimates for null forms and the local existence theorem. Zbl 0803.35095
Klainerman, S.; Machedon, M.
168
1993
Remark on the asymptotic behavior of the Klein-Gordon equation in \(\mathbb{R}^{n+1}\). Zbl 0805.35104
Klainerman, S.
18
1993
Decay and regularity for the Schrödinger equation. Zbl 0802.35057
Ben-Artzi, Matania; Klainerman, Sergiu
62
1992
The global nonlinear stability of the Minkowski space. Zbl 0733.35105
Christodoulou, D.; Klainerman, S.
62
1990
Asymptotic properties of linear field equations in Minkowski space. Zbl 0715.35076
Christodoulou, D.; Klainerman, S.
38
1990
The nonlinear stability of the Minkowski metric in general relativity. Zbl 0695.53061
Christodoulou, D.; Klainerman, S.
2
1989
Einstein geometry and hyperbolic equations. Zbl 0648.53047
Klainerman, S.
1
1988
Remarks on the global Sobolev inequalities in the Minkowski space \({\mathbb{R}}^{n+1}\). Zbl 0686.46019
Klainerman, S.
65
1987
Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Zbl 0627.35082
Klainerman, S.
4
1987
The null condition and global existence to nonlinear wave equations. Zbl 0599.35105
Klainerman, S.
146
1986
Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059
Klainerman, Sergiu
236
1985
Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Zbl 0597.35100
Klainerman, Sergiu
134
1985
Long time behaviour of solutions to nonlinear wave equations. Zbl 0578.35059
Klainerman, S.
3
1985
Almost global existence to nonlinear wave equations in three space dimensions. Zbl 0599.35104
John, Fritz; Klainerman, S.
96
1984
Weighted \(L^{\infty}\) and \(L^ 1\) estimates for solutions to the classical wave equation in three space dimensions. Zbl 0583.35068
Klainerman, Sergiu
17
1984
Long time behaviour of solutions to nonlinear wave equations. Zbl 0581.35052
Klainerman, Sergiu
12
1984
Global, small amplitude solutions to nonlinear evolution equations. Zbl 0509.35009
Klainerman, S.; Ponce, Gustavo
126
1983
On ”almost global” solutions to quasilinear wave equations in three space dimensions. Zbl 0522.35063
Klainerman, S.
19
1983
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
219
1982
Long-time behavior of solutions to nonlinear evolution equations. Zbl 0502.35015
Klainerman, Sergiu
79
1982
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
418
1981
Explicit solutions of box u=0 on the Friedmann-Robertson-Walker space- times. Zbl 0499.58028
Klainerman, S.; Sarnak, P.
5
1981
Global existence for nonlinear wave equations. Zbl 0405.35056
Klainerman, Sergiu
160
1980
Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040
Klainerman, Sergiu; Majda, Andrew
85
1980
all top 5

Cited by 1,795 Authors

35 Klainerman, Sergiu
29 Hayashi, Nakao
29 Rodnianski, Igor
29 Wang, Shu
22 Feireisl, Eduard
22 Ionescu, Alexandru D.
22 Tataru, Daniel
22 Zhou, Yi
21 Naumkin, Pavel Ivanovich
19 Speck, Jared
19 Zha, Dongbing
18 Lindblad, Hans
17 Katayama, Soichiro
16 Pecher, Hartmut
16 Schochet, Steven H.
16 Yang, Jianwei
15 Hidano, Kunio
15 Ju, Qiangchang
15 Peng, Yuejun
15 Tao, Terence
15 Wang, Chengbo
15 Yin, Huicheng
14 Li, Fucai
14 Luk, Jonathan
14 Metcalfe, Jason L.
14 Novotný, Antonín
14 Oh, Sung-Jin
14 Pavlović, Nataša
14 Ponce, Gustavo
14 Sogge, Christopher D.
14 Wei, Changhua
13 Chen, Thomas
13 Feng, Yuehong
13 Jiang, Song
13 Kenig, Carlos Eduardo
13 Machedon, Matei
13 Ou, Yaobin
13 Selberg, Sigmund
12 Kong, Dexing
11 Chruściel, Piotr Tadeusz
11 Georgiev, Vladimir S.
11 Krieger, Joachim
11 Li, Xin
11 Lusanna, Luca
11 Masmoudi, Nader
11 Smulevici, Jacques
11 Sugimoto, Mitsuru
11 Tsutsumi, Yoshio
10 Chen, Xuwen
10 Donninger, Roland
10 Grillakis, Manoussos G.
10 Guo, Zihua
10 Lei, Zhen
10 Ozawa, Tohru
10 Sunagawa, Hideaki
10 Valiente Kroon, Juan Antonio
10 Wang, Qian
10 Yang, Shiwu
9 Baldi, Pietro
9 Beirão da Veiga, Hugo
9 Dafermos, Mihalis
9 D’Ancona, Piero
9 Delort, Jean-Marc
9 Dong, Shijie
9 Fang, Daoyuan
9 Godin, Paul
9 Guo, Boling
9 Huh, Hyungjin
9 Kwon, Young-Sam
9 LeFloch, Philippe Gerard
9 Schütz, Jochen
9 Shao, Arick
9 Soffer, Avraham
9 Staffilani, Gigliola
9 Sterbenz, Jacob
9 Vega, Luis
9 Yu, Pin
8 Alinhac, Serge
8 Bournaveas, Nikolaos
8 Burq, Nicolas
8 Disconzi, Marcelo Mendes
8 Dumbser, Michael
8 Komech, Alexander Ilich
8 Rendall, Alan D.
8 Sideris, Thomas C.
8 Tesfahun, Achenef
8 Witt, Ingo
8 Wong, Willie Wai-Yeung
7 Aretakis, Stefanos
7 Ben-Artzi, Matania
7 Berti, Massimiliano
7 Candy, Timothy
7 Foschi, Damiano
7 Herr, Sebastian
7 Holzegel, Gustav
7 Joudioux, Jérémie
7 Klein, Rupert
7 Munz, Claus-Dieter
7 Nakanishi, Kenji
7 Paetz, Tim-Torben
...and 1,695 more Authors
all top 5

Cited in 263 Serials

132 Communications in Mathematical Physics
119 Journal of Differential Equations
111 Communications in Partial Differential Equations
71 Archive for Rational Mechanics and Analysis
66 Journal of Hyperbolic Differential Equations
55 Journal of Functional Analysis
54 Journal of Mathematical Physics
53 Journal of Mathematical Analysis and Applications
49 Annales Henri Poincaré
49 Annals of PDE
47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Discrete and Continuous Dynamical Systems
32 Journal of Computational Physics
32 Journal of High Energy Physics
30 Nonlinear Analysis. Theory, Methods & Applications
28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
28 Journal de Mathématiques Pures et Appliquées. Neuvième Série
28 SIAM Journal on Mathematical Analysis
27 Transactions of the American Mathematical Society
27 Communications on Pure and Applied Analysis
26 General Relativity and Gravitation
26 ZAMP. Zeitschrift für angewandte Mathematik und Physik
26 Inventiones Mathematicae
25 Classical and Quantum Gravity
25 Advances in Mathematics
24 Duke Mathematical Journal
20 Mathematical Methods in the Applied Sciences
20 Mathematische Zeitschrift
18 Bulletin of the American Mathematical Society. New Series
17 Journal of the American Mathematical Society
16 Calculus of Variations and Partial Differential Equations
16 Analysis & PDE
15 Journal d’Analyse Mathématique
15 Mathematische Annalen
14 Computers and Fluids
14 Proceedings of the American Mathematical Society
14 NoDEA. Nonlinear Differential Equations and Applications
14 Journal of Mathematical Fluid Mechanics
14 Living Reviews in Relativity
13 Communications in Contemporary Mathematics
13 Nonlinear Analysis. Real World Applications
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Communications on Pure and Applied Mathematics
12 Journal of Geometry and Physics
12 Applied Mathematics and Computation
12 Journal of the European Mathematical Society (JEMS)
11 Annals of Mathematics. Second Series
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Nonlinearity
10 Annales de l’Institut Fourier
10 Quarterly of Applied Mathematics
10 Journal of Nonlinear Science
10 Journal of Evolution Equations
9 Chinese Annals of Mathematics. Series B
9 Acta Applicandae Mathematicae
9 Physica D
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Science China. Mathematics
9 Séminaire Laurent Schwartz. EDP et Applications
8 Applicable Analysis
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Letters in Mathematical Physics
7 Reviews in Mathematical Physics
7 Memoirs of the American Mathematical Society
7 Proceedings of the Japan Academy. Series A
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Applied Numerical Mathematics
7 Journal of Scientific Computing
7 Journal of Dynamics and Differential Equations
7 Acta Mathematica Sinica. English Series
7 Boundary Value Problems
6 Computer Methods in Applied Mechanics and Engineering
6 Revista Matemática Iberoamericana
6 Annales de l’Institut Henri Poincaré. Physique Théorique
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Selecta Mathematica. New Series
6 Kinetic and Related Models
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Journal of the Mathematical Society of Japan
5 Osaka Journal of Mathematics
5 SIAM Journal on Numerical Analysis
5 SIAM Journal on Scientific Computing
5 The Journal of Fourier Analysis and Applications
5 International Journal of Geometric Methods in Modern Physics
5 Communications in Computational Physics
4 Computers & Mathematics with Applications
4 Journal of Fluid Mechanics
4 Physics of Fluids, A
4 Arkiv för Matematik
4 Acta Mathematica
4 Manuscripta Mathematica
4 Asymptotic Analysis
4 Forum Mathematicum
4 Physical Review Letters
4 Differential Equations
4 Acta Mathematica Scientia. Series B. (English Edition)
4 SN Partial Differential Equations and Applications
3 Journal of Statistical Physics
...and 163 more Serials
all top 5

Cited in 50 Fields

1,746 Partial differential equations (35-XX)
516 Fluid mechanics (76-XX)
413 Relativity and gravitational theory (83-XX)
215 Quantum theory (81-XX)
208 Differential geometry (53-XX)
142 Global analysis, analysis on manifolds (58-XX)
89 Numerical analysis (65-XX)
89 Statistical mechanics, structure of matter (82-XX)
79 Dynamical systems and ergodic theory (37-XX)
62 Mechanics of deformable solids (74-XX)
54 Optics, electromagnetic theory (78-XX)
53 Harmonic analysis on Euclidean spaces (42-XX)
40 Mechanics of particles and systems (70-XX)
38 Operator theory (47-XX)
34 Functional analysis (46-XX)
28 Geophysics (86-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
15 Ordinary differential equations (34-XX)
14 Classical thermodynamics, heat transfer (80-XX)
14 Astronomy and astrophysics (85-XX)
12 History and biography (01-XX)
11 Probability theory and stochastic processes (60-XX)
9 Integral equations (45-XX)
7 General and overarching topics; collections (00-XX)
7 Systems theory; control (93-XX)
6 Algebraic geometry (14-XX)
6 Topological groups, Lie groups (22-XX)
5 Real functions (26-XX)
5 Measure and integration (28-XX)
5 Approximations and expansions (41-XX)
5 Abstract harmonic analysis (43-XX)
4 Special functions (33-XX)
3 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 General topology (54-XX)
3 Manifolds and cell complexes (57-XX)
3 Computer science (68-XX)
3 Biology and other natural sciences (92-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Integral transforms, operational calculus (44-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)

Citations by Year

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