×
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
External Links: MGP · Wikidata · GND · IdRef
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 Pure and Applied Mathematics Quarterly
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

92 Publications have been cited 4,640 times in 2,501 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
487
1981
The global nonlinear stability of the Minkowski space. Zbl 0827.53055
Christodoulou, Demetrios; Klainerman, Sergiu
326
1993
The null condition and global existence to nonlinear wave equations. Zbl 0599.35105
Klainerman, S.
268
1986
Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059
Klainerman, Sergiu
258
1985
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
257
1982
Space-time estimates for null forms and the local existence theorem. Zbl 0803.35095
Klainerman, S.; Machedon, M.
191
1993
Global existence for nonlinear wave equations. Zbl 0405.35056
Klainerman, Sergiu
180
1980
Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Zbl 0597.35100
Klainerman, Sergiu
155
1985
Global, small amplitude solutions to nonlinear evolution equations. Zbl 0509.35009
Klainerman, S.; Ponce, Gustavo
134
1983
Almost global existence to nonlinear wave equations in three space dimensions. Zbl 0599.35104
John, Fritz; Klainerman, S.
111
1984
On almost global existence for nonrelativistic wave equations in 3D. Zbl 0867.35064
Klainerman, Sergiu; Sideris, Thomas C.
95
1996
Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040
Klainerman, Sergiu; Majda, Andrew
89
1980
The global nonlinear stability of the Minkowski space. Zbl 0733.35105
Christodoulou, D.; Klainerman, S.
85
1990
Long-time behavior of solutions to nonlinear evolution equations. Zbl 0502.35015
Klainerman, Sergiu
85
1982
On the Maxwell-Klein-Gordon equation with finite energy. Zbl 0818.35123
Klainerman, S.; Machedon, M.
82
1994
Smoothing estimates for null forms and applications. Zbl 0909.35094
Klainerman, S.; Machedon, M.
80
1995
On the uniqueness of solutions to the Gross-Pitaevskii hierarchy. Zbl 1147.37034
Klainerman, Sergiu; Machedon, Matei
74
2008
Decay and regularity for the Schrödinger equation. Zbl 0802.35057
Ben-Artzi, Matania; Klainerman, Sergiu
70
1992
Remarks on the global Sobolev inequalities in the Minkowski space \({\mathbb{R}}^{n+1}\). Zbl 0686.46019
Klainerman, S.
70
1987
Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\). Zbl 0827.53056
Klainerman, S.; Machedon, M.
69
1995
The bounded \(L^2\) curvature conjecture. Zbl 1330.53089
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie
68
2015
The evolution problem in general relativity. Zbl 1010.83004
Klainerman, S.; Nicolò, Francesco
68
2003
Bilinear estimates and applications to nonlinear wave equations. Zbl 1146.35389
Klainerman, Sergiu; Selberg, Sigmund
66
2002
On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
54
1999
Global nonlinear stability of Schwarzschild spacetime under polarized perturbations. Zbl 1469.83002
Klainerman, Sergiu; Szeftel, Jérémie
49
2020
Remark on the optimal regularity for equations of wave maps type. Zbl 0884.35102
Klainerman, Sergiu; Selberg, Sigmund
48
1997
Bilinear space-time estimates for homogeneous wave equations. Zbl 0959.35107
Foschi, Damiano; Klainerman, Sergiu
46
2000
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
44
2002
Long time behaviour of solutions to nonlinear wave equations. Zbl 0581.35052
Klainerman, Sergiu
42
1984
A geometric approach to the Littlewood-Paley theory. Zbl 1206.35080
Klainerman, S.; Rodnianski, I.
40
2006
Asymptotic properties of linear field equations in Minkowski space. Zbl 0715.35076
Christodoulou, D.; Klainerman, S.
40
1990
On the formation of trapped surfaces. Zbl 1246.83028
Klainerman, Sergiu; Rodnianski, Igor
39
2012
Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091
Klainerman, S.; Rodnianski, I.
38
2003
On the uniqueness of smooth, stationary black holes in vacuum. Zbl 1182.83005
Ionescu, Alexandru D.; Klainerman, Sergiu
38
2009
Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006
Klainerman, Sergiu; Rodnianski, Igor
37
2005
Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018
Klainerman, Sergiu; Rodnianski, Igor
35
2005
Remark on Strichartz-type inequalities. (Appendices by Jean Bourgain and Daniel Tataru). Zbl 0853.35062
Klainerman, Sergiu; Machedon, Matei
35
1996
Uniqueness of smooth stationary black holes in vacuum: Small perturbations of the Kerr spaces. Zbl 1200.83059
Alexakis, S.; Ionescu, A. D.; Klainerman, S.
33
2010
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
32
2016
On the global regularity of wave maps in the critical Sobolev norm. Zbl 0985.58009
Klainerman, Sergiu; Rodnianski, Igor
32
2001
On the regularity properties of a model problem related to wave maps. Zbl 0878.35075
Klainerman, Sergiu; Machedon, Matei
29
1997
Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Zbl 1045.83016
Klainerman, Sergiu; Nicolò, Francesco
29
2003
Hawking’s local rigidity theorem without analyticity. Zbl 1200.35302
Alexakis, Spyros; Ionescu, Alexandru D.; Klainerman, Sergiu
26
2010
A commuting vectorfields approach to Strichartz-type inequalities and applications to quasi-linear wave equations. Zbl 0993.35022
Klainerman, S.
24
2001
Remark on the asymptotic behavior of the Klein-Gordon equation in \(\mathbb{R}^{n+1}\). Zbl 0805.35104
Klainerman, S.
23
1993
On the breakdown criterion in general relativity. Zbl 1203.35084
Klainerman, Sergiu; Rodnianski, Igor
23
2010
Global solution for massive Maxwell-Klein-Gordon equations. Zbl 1433.35386
Klainerman, Sergiu; Wang, Qian; Yang, Shiwu
21
2020
On local and global aspects of the Cauchy problem in general relativity. Zbl 0944.83001
Klainerman, Sergiu; Nicolò, Francesco
21
1999
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081
Klainerman, S.; Rodnianski, I.
21
2006
On the radius of injectivity of null hypersurfaces. Zbl 1198.53057
Klainerman, Sergiu; Rodnianski, Igor
20
2008
On ”almost global” solutions to quasilinear wave equations in three space dimensions. Zbl 0522.35063
Klainerman, S.
20
1983
A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311
Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor
19
2014
Uniqueness results for ill-posed characteristic problems in curved space-times. Zbl 1179.35338
Ionescu, Alexandru D.; Klainerman, Sergiu
19
2009
Estimates for null forms and the spaces \(\mathbb{H}_{s,\delta}\). Zbl 0909.35095
Klainerman, Sergiu; Machedon, Matei
18
1996
PDE as a unified subject. Special volume of the journal Geometric and Functional Analysis. Zbl 1002.35002
Klainerman, Sergiu
18
2000
Weighted \(L^{\infty}\) and \(L^ 1\) estimates for solutions to the classical wave equation in three space dimensions. Zbl 0583.35068
Klainerman, Sergiu
18
1984
Smoothing estimates for null forms and applications. Zbl 0832.35096
Klainerman, S.; Machedon, M.
17
1994
On the optimal local regularity for gauge field theories. Zbl 0940.35011
Klainerman, Sergiu; Machedon, Matei
16
1997
A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042
Klainerman, Sergiu; Rodnianski, Igor
16
2007
The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007
Klainerman, Sergiu; Rodnianski, Igor
15
2005
On the local extension of Killing vector-fields in Ricci flat manifolds. Zbl 1276.53023
Ionescu, Alexandru D.; Klainerman, Sergiu
15
2013
Rigidity of stationary black holes with small angular momentum on the horizon. Zbl 1311.35309
Alexakis, S.; Ionescu, A. D.; Klainerman, S.
12
2014
Ricci defects of microlocalized Einstein metrics. Zbl 1063.53051
Klainerman, Sergiu; Rodnianski, Igor
10
2004
Explicit solutions of box u=0 on the Friedmann-Robertson-Walker space- times. Zbl 0499.58028
Klainerman, S.; Sarnak, P.
10
1981
Rigidity results in general relativity: a review. Zbl 1339.83010
Ionescu, Alexandru D.; Klainerman, Sergiu
9
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
On the algebraic properties of the \(H_{n/2,1/2}\) spaces. Zbl 0919.46023
Klainerman, Sergiu; Machedon, Matei
9
1998
On emerging scarred surfaces for the Einstein vacuum equations. Zbl 1193.35225
Klainerman, Sergiu; Rodnianski, Igor
9
2010
Kerr stability for small angular momentum. Zbl 07715571
Klainerman, Sergiu; Szeftel, Jérémie
8
2023
On the work and legacy of Fritz John, 1934-1991. Zbl 0929.01041
Klainerman, S.
8
1998
A physical space approach to wave equation bilinear estimates. Zbl 1028.35111
Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence
8
2002
Construction of GCM spheres in perturbations of Kerr. Zbl 1501.35394
Klainerman, Sergiu; Szeftel, Jérémie
8
2022
On the regularity properties of the wave equation. Zbl 0833.35093
Klainerman, S.; Machedon, M.
6
1994
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
6
2017
Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr. Zbl 1501.35395
Klainerman, Sergiu; Szeftel, Jérémie
5
2022
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.
4
1997
Long time behaviour of solutions to nonlinear wave equations. Zbl 0578.35059
Klainerman, S.
4
1985
Mathematical aspects of nonlinear dispersive equations. Lectures of the CMI/IAS workshop on mathematical aspects of nonlinear PDEs, Princeton, NJ, USA, 2004. Zbl 1113.35005
4
2007
The nonlinear stability of the Minkowski metric in general relativity. Zbl 0695.53061
Christodoulou, D.; Klainerman, S.
4
1989
Mathematical challenges of general relativity. Zbl 1215.35157
Klainerman, Sergiu
3
2007
Sharp \(L^1\) estimates for singular transport equations. Zbl 1144.35358
Klainerman, Sergiu; Rodnianski, Igor
2
2008
Corrigendum: Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Zbl 1057.83512
Klainerman, S.; Nicolò, F.
1
2004
Fourier analysis and nonlinear wave equations. Zbl 0902.35074
Klainerman, Sergiu
1
1998
Linear stability of black holes (following M. Dafermos and I. Rodnianski). Zbl 1361.53002
Klainerman, Sergiu
1
2011
Mathematical challenges of general relativity. Zbl 1032.83001
Klainerman, Sergiu
1
2002
On the bounded \(L^2\)-curvature conjecture. Zbl 1304.53072
Klainerman, Sergiu
1
2014
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
Recent results in mathematical GR. Zbl 1267.83012
Klainerman, Sergiu
1
2013
Kerr stability for small angular momentum. Zbl 07715571
Klainerman, Sergiu; Szeftel, Jérémie
8
2023
Construction of GCM spheres in perturbations of Kerr. Zbl 1501.35394
Klainerman, Sergiu; Szeftel, Jérémie
8
2022
Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr. Zbl 1501.35395
Klainerman, Sergiu; Szeftel, Jérémie
5
2022
Global nonlinear stability of Schwarzschild spacetime under polarized perturbations. Zbl 1469.83002
Klainerman, Sergiu; Szeftel, Jérémie
49
2020
Global solution for massive Maxwell-Klein-Gordon equations. Zbl 1433.35386
Klainerman, Sergiu; Wang, Qian; Yang, Shiwu
21
2020
On Nash’s unique contribution to analysis in just three of his papers. Zbl 1364.35007
Klainerman, Sergiu
6
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
32
2016
The bounded \(L^2\) curvature conjecture. Zbl 1330.53089
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie
68
2015
Rigidity results in general relativity: a review. Zbl 1339.83010
Ionescu, Alexandru D.; Klainerman, Sergiu
9
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
A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311
Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor
19
2014
Rigidity of stationary black holes with small angular momentum on the horizon. Zbl 1311.35309
Alexakis, S.; Ionescu, A. D.; Klainerman, S.
12
2014
On the bounded \(L^2\)-curvature conjecture. Zbl 1304.53072
Klainerman, Sergiu
1
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 local extension of Killing vector-fields in Ricci flat manifolds. Zbl 1276.53023
Ionescu, Alexandru D.; Klainerman, Sergiu
15
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
39
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.
33
2010
Hawking’s local rigidity theorem without analyticity. Zbl 1200.35302
Alexakis, Spyros; Ionescu, Alexandru D.; Klainerman, Sergiu
26
2010
On the breakdown criterion in general relativity. Zbl 1203.35084
Klainerman, Sergiu; Rodnianski, Igor
23
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
38
2009
Uniqueness results for ill-posed characteristic problems in curved space-times. Zbl 1179.35338
Ionescu, Alexandru D.; Klainerman, Sergiu
19
2009
On the uniqueness of solutions to the Gross-Pitaevskii hierarchy. Zbl 1147.37034
Klainerman, Sergiu; Machedon, Matei
74
2008
On the radius of injectivity of null hypersurfaces. Zbl 1198.53057
Klainerman, Sergiu; Rodnianski, Igor
20
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
16
2007
Mathematical aspects of nonlinear dispersive equations. Lectures of the CMI/IAS workshop on mathematical aspects of nonlinear PDEs, Princeton, NJ, USA, 2004. Zbl 1113.35005
4
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.
40
2006
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux. Zbl 1206.35081
Klainerman, S.; Rodnianski, I.
21
2006
Rough solutions of the Einstein-vacuum equations. Zbl 1089.83006
Klainerman, Sergiu; Rodnianski, Igor
37
2005
Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. Zbl 1136.58018
Klainerman, Sergiu; Rodnianski, Igor
35
2005
The causal structure of microlocalized rough Einstein metrics. Zbl 1089.83007
Klainerman, Sergiu; Rodnianski, Igor
15
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
68
2003
Improved local well-posedness for quasilinear wave equations in dimension three. Zbl 1031.35091
Klainerman, S.; Rodnianski, I.
38
2003
Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Zbl 1045.83016
Klainerman, Sergiu; Nicolò, Francesco
29
2003
Bilinear estimates and applications to nonlinear wave equations. Zbl 1146.35389
Klainerman, Sergiu; Selberg, Sigmund
66
2002
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
44
2002
A physical space approach to wave equation bilinear estimates. Zbl 1028.35111
Klainerman, Sergiu; Rodnianski, Igor; Tao, Terence
8
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
32
2001
A commuting vectorfields approach to Strichartz-type inequalities and applications to quasi-linear wave equations. Zbl 0993.35022
Klainerman, S.
24
2001
Bilinear space-time estimates for homogeneous wave equations. Zbl 0959.35107
Foschi, Damiano; Klainerman, Sergiu
46
2000
PDE as a unified subject. Special volume of the journal Geometric and Functional Analysis. Zbl 1002.35002
Klainerman, Sergiu
18
2000
On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
54
1999
On local and global aspects of the Cauchy problem in general relativity. Zbl 0944.83001
Klainerman, Sergiu; Nicolò, Francesco
21
1999
On the algebraic properties of the \(H_{n/2,1/2}\) spaces. Zbl 0919.46023
Klainerman, Sergiu; Machedon, Matei
9
1998
On the work and legacy of Fritz John, 1934-1991. Zbl 0929.01041
Klainerman, S.
8
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
48
1997
On the regularity properties of a model problem related to wave maps. Zbl 0878.35075
Klainerman, Sergiu; Machedon, Matei
29
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.
4
1997
On almost global existence for nonrelativistic wave equations in 3D. Zbl 0867.35064
Klainerman, Sergiu; Sideris, Thomas C.
95
1996
Remark on Strichartz-type inequalities. (Appendices by Jean Bourgain and Daniel Tataru). Zbl 0853.35062
Klainerman, Sergiu; Machedon, Matei
35
1996
Estimates for null forms and the spaces \(\mathbb{H}_{s,\delta}\). Zbl 0909.35095
Klainerman, Sergiu; Machedon, Matei
18
1996
Smoothing estimates for null forms and applications. Zbl 0909.35094
Klainerman, S.; Machedon, M.
80
1995
Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\). Zbl 0827.53056
Klainerman, S.; Machedon, M.
69
1995
On the Maxwell-Klein-Gordon equation with finite energy. Zbl 0818.35123
Klainerman, S.; Machedon, M.
82
1994
Smoothing estimates for null forms and applications. Zbl 0832.35096
Klainerman, S.; Machedon, M.
17
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
326
1993
Space-time estimates for null forms and the local existence theorem. Zbl 0803.35095
Klainerman, S.; Machedon, M.
191
1993
Remark on the asymptotic behavior of the Klein-Gordon equation in \(\mathbb{R}^{n+1}\). Zbl 0805.35104
Klainerman, S.
23
1993
Decay and regularity for the Schrödinger equation. Zbl 0802.35057
Ben-Artzi, Matania; Klainerman, Sergiu
70
1992
The global nonlinear stability of the Minkowski space. Zbl 0733.35105
Christodoulou, D.; Klainerman, S.
85
1990
Asymptotic properties of linear field equations in Minkowski space. Zbl 0715.35076
Christodoulou, D.; Klainerman, S.
40
1990
The nonlinear stability of the Minkowski metric in general relativity. Zbl 0695.53061
Christodoulou, D.; Klainerman, S.
4
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.
70
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.
268
1986
Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059
Klainerman, Sergiu
258
1985
Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Zbl 0597.35100
Klainerman, Sergiu
155
1985
Long time behaviour of solutions to nonlinear wave equations. Zbl 0578.35059
Klainerman, S.
4
1985
Almost global existence to nonlinear wave equations in three space dimensions. Zbl 0599.35104
John, Fritz; Klainerman, S.
111
1984
Long time behaviour of solutions to nonlinear wave equations. Zbl 0581.35052
Klainerman, Sergiu
42
1984
Weighted \(L^{\infty}\) and \(L^ 1\) estimates for solutions to the classical wave equation in three space dimensions. Zbl 0583.35068
Klainerman, Sergiu
18
1984
Global, small amplitude solutions to nonlinear evolution equations. Zbl 0509.35009
Klainerman, S.; Ponce, Gustavo
134
1983
On ”almost global” solutions to quasilinear wave equations in three space dimensions. Zbl 0522.35063
Klainerman, S.
20
1983
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
257
1982
Long-time behavior of solutions to nonlinear evolution equations. Zbl 0502.35015
Klainerman, Sergiu
85
1982
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
487
1981
Explicit solutions of box u=0 on the Friedmann-Robertson-Walker space- times. Zbl 0499.58028
Klainerman, S.; Sarnak, P.
10
1981
Global existence for nonlinear wave equations. Zbl 0405.35056
Klainerman, Sergiu
180
1980
Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040
Klainerman, Sergiu; Majda, Andrew
89
1980
all top 5

Cited by 2,064 Authors

35 Klainerman, Sergiu
33 Rodnianski, Igor
31 Wang, Shu
29 Hayashi, Nakao
25 Zha, Dongbing
24 Tataru, Daniel
23 Ionescu, Alexandru D.
23 Zhou, Yi
22 Feireisl, Eduard
22 Naumkin, Pavel Ivanovich
22 Yin, Huicheng
21 Ju, Qiangchang
21 Lindblad, Hans
21 Speck, Jared
19 Luk, Jonathan
19 Metcalfe, Jason L.
18 Katayama, Soichiro
17 Hidano, Kunio
17 Li, Fucai
17 Schochet, Steven H.
17 Yang, Jianwei
16 Oh, Sung-Jin
16 Ou, Yaobin
16 Pecher, Hartmut
16 Peng, Yuejun
16 Wang, Chengbo
15 Pavlović, Nataša
15 Tao, Terence
15 Wei, Changhua
14 Chen, Thomas
14 Dong, Shijie
14 Feng, Yuehong
14 Kenig, Carlos Eduardo
14 Masmoudi, Nader
14 Novotný, Antonín
14 Ponce, Gustavo
14 Sogge, Christopher D.
14 Staffilani, Gigliola
13 Jiang, Song
13 Machedon, Matei
13 Selberg, Sigmund
12 Chruściel, Piotr Tadeusz
12 Donninger, Roland
12 Dumbser, Michael
12 Kong, Dexing
12 Krieger, Joachim
12 LeFloch, Philippe Gerard
12 Lusanna, Luca
12 Sugimoto, Mitsuru
12 Tsutsumi, Yoshio
12 Valiente Kroon, Juan Antonio
11 Aretakis, Stefanos
11 Chen, Xuwen
11 Dafermos, Mihalis
11 Guo, Zihua
11 Holzegel, Gustav
11 Li, Xin
11 Shao, Arick
11 Smulevici, Jacques
11 Yang, Shiwu
11 Yu, Pin
10 Baldi, Pietro
10 Beirão da Veiga, Hugo
10 Gajic, Dejan
10 Georgiev, Vladimir S.
10 Lei, Zhen
10 Ma, Yue
10 Ozawa, Tohru
10 Schütz, Jochen
10 Sunagawa, Hideaki
10 Wang, Qian
9 Alinhac, Serge
9 Andersson, Lars Åke
9 Ben-Artzi, Matania
9 D’Ancona, Piero
9 Delort, Jean-Marc
9 Disconzi, Marcelo Mendes
9 Fang, Daoyuan
9 Godin, Paul
9 Guo, Boling
9 Huh, Hyungjin
9 Komech, Alexander Ilich
9 Kwon, Young-Sam
9 Lührmann, Jonas
9 Pausader, Benoît
9 Ruzhansky, Michael V.
9 Soffer, Avraham
9 Sterbenz, Jacob
9 Vega, Luis
9 Witt, Ingo
8 Bournaveas, Nikolaos
8 Burq, Nicolas
8 Gasperín, Edgar
8 Hintz, Peter
8 Klein, Rupert
8 Munz, Claus-Dieter
8 Rendall, Alan D.
8 Sideris, Thomas C.
8 Szeftel, Jérémie
8 Tesfahun, Achenef
...and 1,964 more Authors
all top 5

Cited in 292 Serials

151 Communications in Mathematical Physics
135 Journal of Differential Equations
116 Communications in Partial Differential Equations
78 Archive for Rational Mechanics and Analysis
74 Journal of Mathematical Physics
69 Journal of Hyperbolic Differential Equations
59 Journal of Mathematical Analysis and Applications
58 Annales Henri Poincaré
58 Annals of PDE
57 Journal of Functional Analysis
56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
52 Classical and Quantum Gravity
42 Journal of Computational Physics
39 SIAM Journal on Mathematical Analysis
38 Journal of High Energy Physics
37 Discrete and Continuous Dynamical Systems
34 Journal de Mathématiques Pures et Appliquées. Neuvième Série
32 Nonlinear Analysis. Theory, Methods & Applications
31 Advances in Mathematics
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
30 General Relativity and Gravitation
30 Communications on Pure and Applied Analysis
29 Inventiones Mathematicae
29 Transactions of the American Mathematical Society
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
26 Duke Mathematical Journal
20 Mathematical Methods in the Applied Sciences
20 Mathematische Zeitschrift
20 Calculus of Variations and Partial Differential Equations
20 Analysis & PDE
18 Journal of the American Mathematical Society
18 Bulletin of the American Mathematical Society. New Series
16 Mathematische Annalen
16 Proceedings of the American Mathematical Society
16 NoDEA. Nonlinear Differential Equations and Applications
16 Living Reviews in Relativity
15 Communications on Pure and Applied Mathematics
15 Journal d’Analyse Mathématique
15 Nonlinearity
15 Journal of the European Mathematical Society (JEMS)
15 Nonlinear Analysis. Real World Applications
14 Computers and Fluids
14 Journal of Nonlinear Science
14 Journal of Mathematical Fluid Mechanics
14 Communications in Contemporary Mathematics
13 Annals of Mathematics. Second Series
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal of Geometry and Physics
12 Applied Mathematics and Computation
12 Journal of Evolution Equations
11 Memoirs of the American Mathematical Society
11 Physica D
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Annales de l’Institut Fourier
10 Quarterly of Applied Mathematics
10 Journal of Scientific Computing
10 Science China. Mathematics
9 Applicable Analysis
9 Chinese Annals of Mathematics. Series B
9 Acta Applicandae Mathematicae
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Journal of Dynamics and Differential Equations
9 Séminaire Laurent Schwartz. EDP et Applications
8 Letters in Mathematical Physics
8 Reviews in Mathematical Physics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Kinetic and Related Models
7 Proceedings of the Japan Academy. Series A
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Applied Numerical Mathematics
7 Revista Matemática Iberoamericana
7 Asymptotic Analysis
7 The Journal of Geometric Analysis
7 SIAM Journal on Scientific Computing
7 Acta Mathematica Sinica. English Series
7 Oberwolfach Reports
7 Boundary Value Problems
6 Computer Methods in Applied Mechanics and Engineering
6 Journal of the Mathematical Society of Japan
6 Forum Mathematicum
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
5 Computers & Mathematics with Applications
5 Journal of Statistical Physics
5 Arkiv för Matematik
5 American Journal of Mathematics
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Bulletin de la Société Mathématique de France
5 Osaka Journal of Mathematics
5 SIAM Journal on Numerical Analysis
5 Acta Mathematicae Applicatae Sinica. English Series
5 The Journal of Fourier Analysis and Applications
5 International Journal of Geometric Methods in Modern Physics
5 Communications in Computational Physics
5 Pure and Applied Analysis
5 SN Partial Differential Equations and Applications
...and 192 more Serials
all top 5

Cited in 56 Fields

2,026 Partial differential equations (35-XX)
614 Fluid mechanics (76-XX)
519 Relativity and gravitational theory (83-XX)
254 Quantum theory (81-XX)
249 Differential geometry (53-XX)
167 Global analysis, analysis on manifolds (58-XX)
114 Numerical analysis (65-XX)
111 Statistical mechanics, structure of matter (82-XX)
99 Dynamical systems and ergodic theory (37-XX)
75 Mechanics of deformable solids (74-XX)
66 Harmonic analysis on Euclidean spaces (42-XX)
66 Optics, electromagnetic theory (78-XX)
54 Mechanics of particles and systems (70-XX)
50 Operator theory (47-XX)
38 Geophysics (86-XX)
36 Functional analysis (46-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
22 Astronomy and astrophysics (85-XX)
19 Probability theory and stochastic processes (60-XX)
19 Classical thermodynamics, heat transfer (80-XX)
18 Ordinary differential equations (34-XX)
13 General and overarching topics; collections (00-XX)
13 History and biography (01-XX)
12 Systems theory; control (93-XX)
11 Algebraic geometry (14-XX)
11 Topological groups, Lie groups (22-XX)
10 Integral equations (45-XX)
9 Real functions (26-XX)
8 Measure and integration (28-XX)
7 Approximations and expansions (41-XX)
7 Geometry (51-XX)
6 Special functions (33-XX)
5 Abstract harmonic analysis (43-XX)
5 General topology (54-XX)
5 Computer science (68-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Integral transforms, operational calculus (44-XX)
4 Convex and discrete geometry (52-XX)
4 Manifolds and cell complexes (57-XX)
3 Number theory (11-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Biology and other natural sciences (92-XX)
2 Mathematical logic and foundations (03-XX)
2 Combinatorics (05-XX)
2 Potential theory (31-XX)
2 Information and communication theory, circuits (94-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.