Sergiu Klainerman - Publications

Affiliations: 
Princeton University, Princeton, NJ 
Area:
Mathematics

63 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Klainerman S, Wang Q, Yang S. Global Solution for Massive Maxwell‐Klein‐Gordon Equations Communications On Pure and Applied Mathematics. 73: 63-109. DOI: 10.1002/Cpa.21864  0.477
2016 Holzegel G, Klainerman S, Speck J, Wong WWY. Small-data shock formation in solutions to 3D quasilinear wave equations: An overview Journal of Hyperbolic Differential Equations. 13: 1-105. DOI: 10.1142/S0219891616500016  0.55
2016 Klainerman S, Rodnianski I, Szeftel J. The resolution of the bounded L 2curvature conjecture in general relativity Bulletin of the Brazilian Mathematical Society. 47: 445-456. DOI: 10.1007/S00574-016-0161-Y  0.719
2015 Klainerman S, Rodnianski I, Szeftel J. The bounded L2 curvature conjecture Inventiones Mathematicae. 202: 91-216. DOI: 10.1007/S00222-014-0567-3  0.774
2014 Alexakis S, Ionescu AD, Klainerman S. Rigidity of stationary black holes with small angular momentum on the horizon Duke Mathematical Journal. 163: 2603-2615. DOI: 10.1215/00127094-2819517  0.43
2014 Klainerman S, Luk J, Rodnianski I. A fully anisotropic mechanism for formation of trapped surfaces in vacuum Inventiones Mathematicae. 198: 1-26. DOI: 10.1007/S00222-013-0496-6  0.652
2013 Klainerman S. Recent results in mathematical GR International Journal of Modern Physics D. 22. DOI: 10.1142/S0218271813300127  0.303
2013 Ionescu AD, Klainerman S. On the local extension of Killing vector-fields in Ricci flat manifolds Journal of the American Mathematical Society. 26: 563-593. DOI: 10.1090/S0894-0347-2012-00754-1  0.406
2012 Klainerman S, Rodnianski I. On the formation of trapped surfaces Acta Mathematica. 208: 211-333. DOI: 10.1007/978-3-642-25361-4_10  0.696
2012 Klainerman S. On the formation of trapped surfaces Nonlinear Partial Differential Equations: the Abel Symposium 2010. 181-206. DOI: 10.1007/978-3-642-25361-4_10  0.349
2010 Klainerman S, Rodnianski I. On emerging scarred surfaces for the einstein vacuum equations Discrete and Continuous Dynamical Systems. 28: 1007-1031. DOI: 10.3934/Dcds.2010.28.1007  0.643
2010 Klainerman S. General Relativity and the Einstein Equations Classical and Quantum Gravity. 27: 19001. DOI: 10.1088/0264-9381/27/1/019001  0.495
2010 Alexakis S, Ionescu AD, Klainerman S. Uniqueness of smooth stationary black holes in vacuum: Small perturbations of the Kerr spaces Communications in Mathematical Physics. 299: 89-127. DOI: 10.1007/S00220-010-1072-1  0.467
2010 Alexakis S, Ionescu AD, Klainerman S. Hawking's Local Rigidity Theorem Without Analyticity Geometric and Functional Analysis. 20: 845-869. DOI: 10.1007/S00039-010-0082-7  0.414
2010 Klainerman S. Partial differential equations The Princeton Companion to Mathematics. 455-483.  0.336
2009 Klainerman S, Rodnianski I. On the breakdown criterion in general relativity Journal of the American Mathematical Society. 23: 345-382. DOI: 10.1090/S0894-0347-09-00655-9  0.679
2009 Ionescu AD, Klainerman S. On the uniqueness of smooth, stationary black holes in vacuum Inventiones Mathematicae. 175: 35-102. DOI: 10.1007/S00222-008-0146-6  0.362
2009 Ionescu AD, Klainerman S. Uniqueness results for Ill-posed characteristic problems in curved space-times Communications in Mathematical Physics. 285: 873-900. DOI: 10.1007/S00220-008-0650-Y  0.517
2009 Bourgain J, Kenig CE, Klainerman S. Mathematical aspects of nonlinear dispersive equations (AM-163) Mathematical Aspects of Nonlinear Dispersive Equations (Am-163). 1-300.  0.361
2008 Klainerman S, Rodnianski I. Sharp L1 estimates for singular transport equations Journal of the European Mathematical Society. 10: 477-505. DOI: 10.4171/Jems/119  0.741
2008 Klainerman S, Rodnianski I. On the radius of injectivity of null hypersurfaces Journal of the American Mathematical Society. 21: 775-795. DOI: 10.1090/S0894-0347-08-00592-4  0.758
2008 Klainerman S, Machedon M. On the uniqueness of solutions to the Gross-Pitaevskii hierarchy Communications in Mathematical Physics. 279: 169-185. DOI: 10.1007/S00220-008-0426-4  0.439
2007 Klainerman S, Rodnianski I. A Kirchoff-Sobolev parametrix for the wave equation and applications Journal of Hyperbolic Differential Equations. 4: 401-433. DOI: 10.1142/S0219891607001203  0.759
2006 Klainerman S, Rodnianski I. Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux Geometric and Functional Analysis. 16: 164-229. DOI: 10.1007/S00039-006-0557-8  0.681
2006 Klainerman S, Rodnianski I. A geometric approach to the Littlewood-Paley theory Geometric and Functional Analysis. 16: 126-163. DOI: 10.1007/S00039-006-0551-1  0.671
2005 Klainerman S, Rodnianski I. The causal structure of microlocalized rough Einstein metrics Annals of Mathematics. 161: 1195-1243. DOI: 10.4007/Annals.2005.161.1195  0.763
2005 Klainerman S, Rodnianski I. Rough solutions of the Einstein-vacuum equations Annals of Mathematics. 161: 1143-1193. DOI: 10.4007/Annals.2005.161.1143  0.758
2005 Klainerman S, Rodnianski I. Bilinear Estimates On Curved Space–Times Journal of Hyperbolic Differential Equations. 2: 279-291. DOI: 10.1142/S0219891605000440  0.764
2005 Klainerman S, Rodnianski I. Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux Inventiones Mathematicae. 159: 437-529. DOI: 10.1007/S00222-004-0365-4  0.712
2004 Klainerman S, Rodnianski I. Ricci Defects Of Microlocalized Einstein Metrics Journal of Hyperbolic Differential Equations. 1: 85-113. DOI: 10.1142/S0219891604000056  0.74
2003 Klainerman S, Rodnianski I. Improved local well-posedness for quasilinear wave equations in dimension three Duke Mathematical Journal. 117: 1-124. DOI: 10.1215/S0012-7094-03-11711-1  0.735
2003 Klainerman S, Nicolò F. Peeling properties of asymptotically flat solutions to the Einstein vacuum equations Classical and Quantum Gravity. 20: 3215-3257. DOI: 10.1088/0264-9381/21/7/C01  0.49
2002 Klainerman S, Selberg S. Bilinear estimates and applications to nonlinear wave equations Communications in Contemporary Mathematics. 4: 223-295. DOI: 10.1142/S0219199702000634  0.52
2002 Klainerman S, Rodnianski I. Rough solutions of the Einstein vacuum equations | Solutions peu régulières des équations d'Einstein dans le vide Comptes Rendus Mathematique. 334: 125-130. DOI: 10.1016/S1631-073X(02)02214-8  0.72
2002 Klainerman S, Rodnianski I, Tao T. A Physical Space Approach To Wave Equation Bilinear Estimates Journal D Analyse Mathematique. 87: 299-336. DOI: 10.1007/Bf02868479  0.748
2002 Klainerman S, Rodnianski I, Tao T. A physical space approach to wave equation bilinear estimates Journal D'Analyse Mathematique. 87: 299-336.  0.733
2001 Klainerman S, Rodnianski I. On the Global Regularity of Wave Maps in the Critical Sobolev Norm International Mathematics Research Notices. 2001: xi-701. DOI: 10.1155/S1073792801000344  0.672
2001 Klainerman S. A Commuting Vectorfields Approach to Strichartz-Type Inequalities and Applications to Quasi-Linear Wave Equations International Mathematics Research Notices. 2001. DOI: 10.1155/S1073792801000137  0.476
2000 Foschi D, Klainerman S. Bilinear space-time estimates for homogeneous wave equations Annales Scientifiques De L'Ecole Normale Superieure. 33: 211-274. DOI: 10.1016/S0012-9593(00)00109-9  0.73
1999 Klainerman S, Tataru D. On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹ Journal of the American Mathematical Society. 12: 93-116. DOI: 10.1090/S0894-0347-99-00282-9  0.432
1999 Klainerman S, Nicolò F. On local and global aspects of the Cauchy problem in general relativity Classical and Quantum Gravity. 16. DOI: 10.1088/0264-9381/16/8/201  0.471
1999 Klainerman S, Tataru D. On the optimal local regularity for the Yang-Mills equations in ℝ4+1 Journal of the American Mathematical Society. 12: 93-116.  0.331
1998 Klainerman S, Machedon M. On the Algebraic Properties of the Hn/2,1/2 Spaces International Mathematics Research Notices. X-774. DOI: 10.1155/S1073792898000464  0.33
1997 Klainerman S, Machedon M. On the regularity properties of a model problem related to wave maps Duke Mathematical Journal. 87: 553-589. DOI: 10.1215/S0012-7094-97-08718-4  0.308
1997 Klainerman S, Selberg S. Remark on the optimal regularity for equations of wave maps type Communications in Partial Differential Equations. 22: 901-918. DOI: 10.1080/03605309708821288  0.484
1996 Klainerman S, Sideris TC. On almost global existence for nonrelativistic wave equations in 3D Communications On Pure and Applied Mathematics. 49: 307-321. DOI: 10.1002/(Sici)1097-0312(199603)49:3<307::Aid-Cpa4>3.0.Co;2-H  0.547
1995 Klainerman S, Machedon M. Finite energy solutions of the Yang-Mills equations in $\mathbb{R}^{3+1}$ Annals of Mathematics. 142: 39-119. DOI: 10.2307/2118611  0.534
1994 Klainerman S, Machedon M. On the maxwell-klein-gordon equation with finite energy Duke Mathematical Journal. 74: 19-44. DOI: 10.1215/S0012-7094-94-07402-4  0.426
1994 Klainerman S, Machedon M. Smoothing estimates for null forms and applications International Mathematics Research Notices. 1994: 383-389. DOI: 10.1155/S1073792894000425  0.331
1993 Klainerman S, MacHedon M. Space-time estimates for null forms and the local existence theorem Communications On Pure and Applied Mathematics. 46: 1221-1268. DOI: 10.1002/Cpa.3160460902  0.422
1993 Klainerman S. Remark on the asymptotic behavior of the klein gordon equation in ℝn+1 Communications On Pure and Applied Mathematics. 46: 137-144. DOI: 10.1002/Cpa.3160460202  0.43
1992 Ben-artzi M, Klainerman S. Decay and regularity for the schrödinger equation Journal D'Analyse MathéMatique. 58: 25-37. DOI: 10.1007/Bf02790356  0.403
1990 Christodoulou D, Klainerman S. Asymptotic properties of linear field equations in minkowski space Communications On Pure and Applied Mathematics. 43: 137-199. DOI: 10.1002/Cpa.3160430202  0.534
1987 Klainerman S. Remarks on the global sobolev inequalities in the minkowski space Rn+1 Communications On Pure and Applied Mathematics. 40: 111-117. DOI: 10.1002/Cpa.3160400105  0.324
1985 Klainerman S. Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions Communications On Pure and Applied Mathematics. 38: 631-641. DOI: 10.1002/Cpa.3160380512  0.35
1985 Klainerman S. Uniform decay estimates and the lorentz invariance of the classical wave equation Communications On Pure and Applied Mathematics. 38: 321-332. DOI: 10.1002/Cpa.3160380305  0.373
1984 John F, Klainerman S. Almost global existence to nonlinear wave equations in three space dimensions Communications On Pure and Applied Mathematics. 37: 443-455. DOI: 10.1002/Cpa.3160370403  0.478
1984 Klainerman S. Weighted L∞ and L1 estimates for solutions to the classical wave equation in three space dimensions Communications On Pure and Applied Mathematics. 37: 269-288. DOI: 10.1002/Cpa.3160370206  0.412
1983 Klainerman S, Ponce G. Global, small amplitude solutions to nonlinear evolution equations Communications On Pure and Applied Mathematics. 36: 133-141. DOI: 10.1002/Cpa.3160360106  0.45
1982 Klainerman S. Long-time behavior of solutions to nonlinear evolution equations Archive For Rational Mechanics and Analysis. 78: 73-98. DOI: 10.1007/Bf00253225  0.417
1981 Klainerman S, Majda A. Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids Communications On Pure and Applied Mathematics. 34: 481-524. DOI: 10.1002/Cpa.3160340405  0.456
1980 Klainerman S, Majda A. Formation of singularities for wave equations including the nonlinear vibrating string Communications On Pure and Applied Mathematics. 33: 241-263. DOI: 10.1002/Cpa.3160330304  0.529
1980 Klainerman S. Global existence for nonlinear wave equations Communications On Pure and Applied Mathematics. 33: 43-101. DOI: 10.1002/Cpa.3160330104  0.461
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