Compute Distance To:
 Documents Indexed: 47 Publications since 1990 Co-Authors: 21 Co-Authors with 29 Joint Publications 449 Co-Co-Authors
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### Co-Authors

 17 single-authored 7 Sogge, Christopher D. 6 Soffer, Avraham 3 Rodnianski, Igor 3 Tohaneanu, Mihai 2 Candy, Timothy 2 Lührmann, Jonas 2 Luo, Chenyun 1 Christodoulou, Demetrios 1 Coutand, Daniel 1 Ettinger, Boris 1 Georgiev, Vladimir S. 1 Ginsberg, Daniel 1 Kauffman, Christopher J. 1 Krieger, Joachim 1 Metcalfe, Jason L. 1 Nakamura, Makoto 1 Nordgren, Karl Håkan 1 Shkoller, Steve 1 Sterbenz, Jacob 1 Tao, Terence 1 Wang, Chengbo
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### Serials

 6 Communications in Mathematical Physics 5 Communications on Pure and Applied Mathematics 4 American Journal of Mathematics 3 Archive for Rational Mechanics and Analysis 3 Annals of Mathematics. Second Series 2 Duke Mathematical Journal 2 Communications in Partial Differential Equations 2 Journal of Hyperbolic Differential Equations 1 Letters in Mathematical Physics 1 Nonlinearity 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Differential and Integral Equations 1 SIAM Journal on Mathematical Analysis 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Séminaire Équations aux Dérivées Partielles 1 Mathematical Research Letters 1 Documenta Mathematica 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 IMRP. International Mathematics Research Papers 1 Dynamics of Partial Differential Equations 1 Analysis & PDE
all top 5

### Fields

 47 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 9 Relativity and gravitational theory (83-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 1,589 times in 896 Documents Cited by Year
On existence and scattering with minimal regularity for semilinear wave equations. Zbl 0846.35085
1995
Well-posedness for the motion of an incompressible liquid with free surface boundary. Zbl 1095.35021
2005
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
1997
The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066
2010
On the motion of the free surface of a liquid. Zbl 1031.35116
2000
Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003
2005
Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064
1996
On the lifespan of solutions of nonlinear wave equations with small initial data. Zbl 0719.35005
1990
The weak null condition for Einstein’s equations. Zbl 1045.35101
2003
A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum. Zbl 1193.35139
Coutand, Daniel; Lindblad, Hans; Shkoller, Steve
2010
A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time. Zbl 1061.35053
2004
Well posedness for the motion of a compressible liquid with free surface boundary. Zbl 1094.35088
2005
Blow-up for solutions of $$\square u=| u| ^ p$$ with small initial data. Zbl 0712.35018
1990
Global solutions of quasilinear wave equations. Zbl 1144.35035
2008
Global solutions of nonlinear wave equations. Zbl 0840.35065
1992
Counterexamples to local existence for semi-linear wave equations. Zbl 0855.35080
1996
Well-posedness for the linearized motion of an incompressible liquid with free surface boundary. Zbl 1025.35017
2003
A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072
2005
A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations. Zbl 0797.35123
1993
The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327
Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo
2014
Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge. Zbl 1434.35234
2020
A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044
2005
On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates. Zbl 1373.35308
2017
Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099
2006
A priori estimates for the motion of a self-gravitating incompressible liquid with free surface boundary. Zbl 1234.35197
2009
Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201
2015
Counterexamples to local existence for quasilinear wave equations. Zbl 0932.35149
1998
A priori estimates for the compressible Euler equations for a liquid with free surface boundary and the incompressible limit. Zbl 1394.35338
2018
Global stability for charged-scalar fields on Minkowski space. Zbl 1123.35047
2006
Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170
Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D.
2013
Global existence for quasilinear wave equations close to Schwarzschild. Zbl 1411.35209
2018
Long range scattering for the cubic Dirac equation on $$\mathbb{R}^{1+1}$$. Zbl 1463.35422
2018
Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2020
Well-posedness for the linearized motion of a compressible liquid with free surface boundary. Zbl 1038.35073
2003
Asymptotic decay for a one-dimensional nonlinear wave equation. Zbl 1273.35049
2012
Restriction theorems and semilinear Klein-Gordon equations in $$(1+3)$$-dimensions. Zbl 0865.35077
1996
A sharp counterexample to local existence of low regularity solutions to Einstein equations in wave coordinates. Zbl 1368.83010
2017
On stability of the catenoid under vanishing mean curvature flow on Minkowski space. Zbl 1276.53070
2012
Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary. Zbl 1439.35383
Ginsberg, Daniel; Lindblad, Hans; Luo, Chenyun
2020
A local energy estimate for wave equations on metrics asymptotically close to Kerr. Zbl 1455.35022
2020
Asymptotic behavior of the Maxwell-Klein-Gordon system. Zbl 1420.35272
Candy, Timothy; Kauffman, Christopher; Lindblad, Hans
2019
Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2021
The motion of the free surface of a liquid. Zbl 1063.35523
2001
Minimal regularity solutions of nonlinear wave equations. Zbl 0896.35084
1998
Counterexamples to local existence for nonlinear wave equations. Zbl 0877.35081
1994
Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2021
Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge. Zbl 1434.35234
2020
Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2020
Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary. Zbl 1439.35383
Ginsberg, Daniel; Lindblad, Hans; Luo, Chenyun
2020
A local energy estimate for wave equations on metrics asymptotically close to Kerr. Zbl 1455.35022
2020
Asymptotic behavior of the Maxwell-Klein-Gordon system. Zbl 1420.35272
Candy, Timothy; Kauffman, Christopher; Lindblad, Hans
2019
A priori estimates for the compressible Euler equations for a liquid with free surface boundary and the incompressible limit. Zbl 1394.35338
2018
Global existence for quasilinear wave equations close to Schwarzschild. Zbl 1411.35209
2018
Long range scattering for the cubic Dirac equation on $$\mathbb{R}^{1+1}$$. Zbl 1463.35422
2018
On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates. Zbl 1373.35308
2017
A sharp counterexample to local existence of low regularity solutions to Einstein equations in wave coordinates. Zbl 1368.83010
2017
Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201
2015
The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327
Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo
2014
Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170
Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D.
2013
Asymptotic decay for a one-dimensional nonlinear wave equation. Zbl 1273.35049
2012
On stability of the catenoid under vanishing mean curvature flow on Minkowski space. Zbl 1276.53070
2012
The global stability of Minkowski space-time in harmonic gauge. Zbl 1192.53066
2010
A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum. Zbl 1193.35139
Coutand, Daniel; Lindblad, Hans; Shkoller, Steve
2010
A priori estimates for the motion of a self-gravitating incompressible liquid with free surface boundary. Zbl 1234.35197
2009
Global solutions of quasilinear wave equations. Zbl 1144.35035
2008
Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099
2006
Global stability for charged-scalar fields on Minkowski space. Zbl 1123.35047
2006
Well-posedness for the motion of an incompressible liquid with free surface boundary. Zbl 1095.35021
2005
Global existence for the Einstein vacuum equations in wave coordinates. Zbl 1081.83003
2005
Well posedness for the motion of a compressible liquid with free surface boundary. Zbl 1094.35088
2005
A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072
2005
A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044
2005
A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time. Zbl 1061.35053
2004
The weak null condition for Einstein’s equations. Zbl 1045.35101
2003
Well-posedness for the linearized motion of an incompressible liquid with free surface boundary. Zbl 1025.35017
2003
Well-posedness for the linearized motion of a compressible liquid with free surface boundary. Zbl 1038.35073
2003
The motion of the free surface of a liquid. Zbl 1063.35523
2001
On the motion of the free surface of a liquid. Zbl 1031.35116
2000
Counterexamples to local existence for quasilinear wave equations. Zbl 0932.35149
1998
Minimal regularity solutions of nonlinear wave equations. Zbl 0896.35084
1998
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
1997
Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064
1996
Counterexamples to local existence for semi-linear wave equations. Zbl 0855.35080
1996
Restriction theorems and semilinear Klein-Gordon equations in $$(1+3)$$-dimensions. Zbl 0865.35077
1996
On existence and scattering with minimal regularity for semilinear wave equations. Zbl 0846.35085
1995
Counterexamples to local existence for nonlinear wave equations. Zbl 0877.35081
1994
A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations. Zbl 0797.35123
1993
Global solutions of nonlinear wave equations. Zbl 0840.35065
1992
On the lifespan of solutions of nonlinear wave equations with small initial data. Zbl 0719.35005
1990
Blow-up for solutions of $$\square u=| u| ^ p$$ with small initial data. Zbl 0712.35018
1990
all top 5

### Cited by 725 Authors

 23 Wang, Chengbo 22 Lindblad, Hans 20 Zhou, Yi 17 Zha, Dongbing 14 Hidano, Kunio 13 Merle, Frank 13 Speck, Jared 12 Katayama, Soichiro 12 Masmoudi, Nader 12 Pusateri, Fabio 12 Rodnianski, Igor 12 Tataru, Daniel 11 Donninger, Roland 11 Lai, Ningan 11 Shkoller, Steve 11 Witt, Ingo 11 Yin, Huicheng 10 Disconzi, Marcelo Mendes 10 Fang, Daoyuan 10 Metcalfe, Jason L. 10 Trakhinin, Yuri L. 10 Wakasa, Kyouhei 9 Han, Wei 9 Ionescu, Alexandru D. 9 Kenig, Carlos Eduardo 9 Klainerman, Sergiu 9 Luo, Tao 9 Martel, Yvan 9 Oh, Tadahiro 9 Palmieri, Alessandro 9 Sunagawa, Hideaki 9 Takamura, Hiroyuki 9 Wei, Changhua 9 Zaag, Hatem 8 Coutand, Daniel 8 D’Abbicco, Marcello 8 Kharibegashvili, S. S. 8 Muñoz, Claudio 8 Sogge, Christopher D. 8 Tohaneanu, Mihai 8 Yang, Shiwu 8 Zhang, Zhifei 7 Duyckaerts, Thomas 7 Fajman, David 7 Hao, Chengchun 7 Jleli, Mohamed Boussairi 7 Kong, Dexing 7 Kubo, Hideo 7 Liu, Xin 7 Luk, Jonathan 7 Luo, Chenyun 7 Nakanishi, Kenji 7 Ozawa, Tohru 7 Samet, Bessem 7 Soffer, Avraham 7 Zeng, Huihui 6 Germain, Pierre 6 Gu, Xumin 6 Kukavica, Igor 6 Lei, Zhen 6 Selberg, Sigmund 6 Shatah, Jalal 6 Smulevici, Jacques 6 Sterbenz, Jacob 6 Yan, Weiping 6 Zhang, Junyong 5 Alazard, Thomas 5 Chen, Wenhui 5 Chruściel, Piotr Tadeusz 5 Cordoba, Diego 5 Dodson, Benjamin G. 5 Du, Yi 5 Dzhokhadze, Otar Mikhajlovich 5 Ebert, Marcelo Rempel 5 Gancedo, Francisco 5 Hadzic, Mahir 5 Hayashi, Nakao 5 He, Daoyin 5 Hilditch, David 5 Hintz, Peter 5 Ifrim, Mihaela 5 Kowalczyk, Michał 5 LeFloch, Philippe Gerard 5 Liu, Jianli 5 Miao, Changxing 5 Pocovnicu, Oana 5 Rendall, Alan D. 5 Segata, Jun-ichi 5 Shen, Ruipeng 5 Smith, Hart F. 5 Tzvetkov, Nikolay 5 Vega, Luis 5 Wong, Willie Wai-Yeung 5 Xin, Zhouping 5 Yang, Jiaqi 4 Andersson, Lars Åke 4 Bigorgne, Léo 4 Burq, Nicolas 4 Delort, Jean-Marc 4 Dong, Shijie ...and 625 more Authors
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### Cited in 150 Serials

 81 Journal of Differential Equations 47 Communications in Mathematical Physics 41 Communications in Partial Differential Equations 40 Archive for Rational Mechanics and Analysis 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Journal of Mathematical Analysis and Applications 27 Journal of Hyperbolic Differential Equations 24 Journal of Functional Analysis 23 Annals of PDE 22 Journal of Mathematical Physics 19 Transactions of the American Mathematical Society 19 Annales Henri Poincaré 17 Communications on Pure and Applied Analysis 16 Inventiones Mathematicae 15 Discrete and Continuous Dynamical Systems 14 SIAM Journal on Mathematical Analysis 13 Classical and Quantum Gravity 12 Duke Mathematical Journal 11 Communications on Pure and Applied Mathematics 11 Advances in Mathematics 11 Mathematische Annalen 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Calculus of Variations and Partial Differential Equations 10 Analysis & PDE 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Chinese Annals of Mathematics. Series B 8 Bulletin of the American Mathematical Society. New Series 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Séminaire Laurent Schwartz. EDP et Applications 7 Letters in Mathematical Physics 7 Nonlinearity 7 NoDEA. Nonlinear Differential Equations and Applications 7 Annals of Mathematics. Second Series 7 Journal of the European Mathematical Society (JEMS) 6 Revista Matemática Iberoamericana 6 Journal of the American Mathematical Society 6 Selecta Mathematica. New Series 6 Communications in Contemporary Mathematics 5 General Relativity and Gravitation 5 Memoirs of the American Mathematical Society 5 Proceedings of the American Mathematical Society 5 Quarterly of Applied Mathematics 5 The Journal of Geometric Analysis 4 Annales de l’Institut Fourier 4 Applied Mathematics and Computation 4 Acta Mathematica Sinica. English Series 4 Differential Equations 4 Nonlinear Analysis. Real World Applications 4 Journal of Evolution Equations 4 Nonlinear Analysis. Theory, Methods & Applications 4 Pure and Applied Analysis 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics of Computation 3 Applied Mathematics and Optimization 3 Bulletin de la Société Mathématique de France 3 Pacific Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics Letters 3 Forum Mathematicum 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Bulletin des Sciences Mathématiques 3 The Journal of Fourier Analysis and Applications 3 Living Reviews in Relativity 3 Boundary Value Problems 3 Kinetic and Related Models 3 Science China. Mathematics 3 Forum of Mathematics, Pi 2 Mathematical Methods in the Applied Sciences 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the National Academy of Sciences of the United States of America 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Mathematics. Series B (English Edition) 2 European Journal of Mechanics. B. Fluids 2 Advanced Nonlinear Studies 2 Journal of Cosmology and Astroparticle Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Evolution Equations and Control Theory 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Hokkaido Mathematical Journal ...and 50 more Serials
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### Cited in 37 Fields

 838 Partial differential equations (35-XX) 210 Fluid mechanics (76-XX) 147 Relativity and gravitational theory (83-XX) 65 Differential geometry (53-XX) 54 Global analysis, analysis on manifolds (58-XX) 51 Quantum theory (81-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Mechanics of deformable solids (74-XX) 19 Astronomy and astrophysics (85-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Mechanics of particles and systems (70-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Operator theory (47-XX) 13 Numerical analysis (65-XX) 13 Optics, electromagnetic theory (78-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 5 Ordinary differential equations (34-XX) 5 Abstract harmonic analysis (43-XX) 5 Geophysics (86-XX) 4 Topological groups, Lie groups (22-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)