## Lenzmann, Enno

Compute Distance To:
 Author ID: lenzmann.enno Published as: Lenzmann, Enno; Lenzmann, E. External Links: MGP
 Documents Indexed: 29 Publications since 2004 Co-Authors: 26 Co-Authors with 27 Joint Publications 720 Co-Co-Authors
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### Co-Authors

 2 single-authored 6 Fröhlich, Jürg Martin 4 Lewin, Mathieu 3 Raphael, Pierre 3 Schikorra, Armin 2 Bellazzini, Jacopo 2 Boulenger, Thomas 2 Frank, Rupert L. 2 Georgiev, Vladimir S. 2 Gerard, Patrick 2 Jonsson, B. Lars G. 2 Krieger, Joachim 2 Sok, Jérémy 2 Visciglia, Nicola 1 Borthwick, David 1 Bugiera, Lars 1 Donninger, Roland 1 Hainzl, Christian 1 Herr, Sebastian 1 Himmelsbach, Dominik 1 Kirkpatrick, Kay L. 1 Knowles, Antti 1 Marzuola, Jeremy L. 1 Pocovnicu, Oana 1 Schlein, Benjamin 1 Silvestre, Luis E. 1 Staffilani, Gigliola
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### Serials

 5 Communications in Mathematical Physics 3 Nonlinearity 2 Communications on Pure and Applied Mathematics 2 Letters in Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales Henri Poincaré 2 Analysis & PDE 1 Archive for Rational Mechanics and Analysis 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 IMRN. International Mathematics Research Notices 1 SIAM Journal on Mathematical Analysis 1 Séminaire Équations aux Dérivées Partielles 1 Mathematical Physics, Analysis and Geometry 1 Annals of PDE
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### Fields

 26 Partial differential equations (35-XX) 7 Astronomy and astrophysics (85-XX) 6 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 1,157 times in 671 Documents Cited by Year
Uniqueness of non-linear ground states for fractional Laplacians in $$\mathbb{R}$$. Zbl 1307.35315
Frank, Rupert L.; Lenzmann, Enno
2013
Uniqueness of radial solutions for the fractional Laplacian. Zbl 1365.35206
Frank, Rupert L.; Lenzmann, Enno; Silvestre, Luis
2016
Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266
Lenzmann, Enno
2009
Boson stars as solitary waves. Zbl 1126.35064
Fröhlich, Jürg; Jonsson, B. Lars G.; Lenzmann, Enno
2007
On the continuum limit for discrete NLS with long-range lattice interactions. Zbl 1258.35182
Kirkpatrick, Kay; Lenzmann, Enno; Staffilani, Gigliola
2013
Well-posedness for semi-relativistic Hartree equations of critical type. Zbl 1171.35474
Lenzmann, Enno
2007
Blowup for nonlinear wave equations describing boson stars. Zbl 1135.35011
Fröhlich, Jürg; Lenzmann, Enno
2007
Nondispersive solutions to the $$L ^{2}$$-critical half-wave equation. Zbl 1288.35433
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2013
Blowup for fractional NLS. Zbl 1348.35038
Boulenger, Thomas; Himmelsbach, Dominik; Lenzmann, Enno
2016
Mean-field limit of quantum Bose gases and nonlinear Hartree equation. Zbl 1292.81040
Fröhlich, Jürg; Lenzmann, Enno
2004
Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory. Zbl 1130.85004
Fröhlich, Jürg; Lenzmann, Enno
2007
Effective dynamics for Boson stars. Zbl 1124.35084
Fröhlich, J.; Jonsson, B. L. G.; Lenzmann, E.
2007
Blowup for biharmonic NLS. (Phénomènes d’explosion pour NLS biharmonique.) Zbl 1375.35476
Boulenger, Thomas; Lenzmann, Enno
2017
Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs. Zbl 1202.49013
Lenzmann, Enno; Lewin, Mathieu
2010
On singularity formation for the $$L^{2}$$-critical boson star equation. Zbl 1235.35231
Lenzmann, Enno; Lewin, Mathieu
2011
The boson star equation with initial data of low regularity. Zbl 1292.35280
Herr, Sebastian; Lenzmann, Enno
2014
On blowup for time-dependent generalized Hartree-Fock equations. Zbl 1209.85009
Hainzl, Christian; Lenzmann, Enno; Lewin, Mathieu; Schlein, Benjamin
2010
Sharp commutator estimates via harmonic extensions. Zbl 1436.35012
Lenzmann, Enno; Schikorra, Armin
2020
On stability of pseudo-conformal blowup for $$L^{2}$$-critical Hartree NLS. Zbl 1214.35064
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2009
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre
2018
On energy-critical half-wave maps into $$\mathbb {S}^2$$. Zbl 1411.35208
Lenzmann, Enno; Schikorra, Armin
2018
On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations. Zbl 1427.35224
Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola
2019
Dynamical ionization bounds for atoms. Zbl 1284.35404
Lenzmann, Enno; Lewin, Mathieu
2013
A Lax pair structure for the half-wave maps equation. Zbl 1393.37074
Gérard, Patrick; Lenzmann, Enno
2018
Semi-classical dynamics in quantum spin systems. Zbl 1189.82078
Fröhlich, Jürg; Knowles, Antti; Lenzmann, Enno
2007
On symmetry of traveling solitary waves for dispersion generalized NLS. Zbl 07459747
Bugiera, Lars; Lenzmann, Enno; Schikorra, Armin; Sok, Jérémy
2020
Correction to: “On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations”. Zbl 07333705
Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola
2021
A sharp rearrangement principle in Fourier space and symmetry results for PDEs with arbitrary order. Zbl 1481.35092
Lenzmann, Enno; Sok, Jérémy
2021
Correction to: “On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations”. Zbl 07333705
Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola
2021
A sharp rearrangement principle in Fourier space and symmetry results for PDEs with arbitrary order. Zbl 1481.35092
Lenzmann, Enno; Sok, Jérémy
2021
Sharp commutator estimates via harmonic extensions. Zbl 1436.35012
Lenzmann, Enno; Schikorra, Armin
2020
On symmetry of traveling solitary waves for dispersion generalized NLS. Zbl 07459747
Bugiera, Lars; Lenzmann, Enno; Schikorra, Armin; Sok, Jérémy
2020
On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations. Zbl 1427.35224
Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola
2019
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre
2018
On energy-critical half-wave maps into $$\mathbb {S}^2$$. Zbl 1411.35208
Lenzmann, Enno; Schikorra, Armin
2018
A Lax pair structure for the half-wave maps equation. Zbl 1393.37074
Gérard, Patrick; Lenzmann, Enno
2018
Blowup for biharmonic NLS. (Phénomènes d’explosion pour NLS biharmonique.) Zbl 1375.35476
Boulenger, Thomas; Lenzmann, Enno
2017
Uniqueness of radial solutions for the fractional Laplacian. Zbl 1365.35206
Frank, Rupert L.; Lenzmann, Enno; Silvestre, Luis
2016
Blowup for fractional NLS. Zbl 1348.35038
Boulenger, Thomas; Himmelsbach, Dominik; Lenzmann, Enno
2016
The boson star equation with initial data of low regularity. Zbl 1292.35280
Herr, Sebastian; Lenzmann, Enno
2014
Uniqueness of non-linear ground states for fractional Laplacians in $$\mathbb{R}$$. Zbl 1307.35315
Frank, Rupert L.; Lenzmann, Enno
2013
On the continuum limit for discrete NLS with long-range lattice interactions. Zbl 1258.35182
Kirkpatrick, Kay; Lenzmann, Enno; Staffilani, Gigliola
2013
Nondispersive solutions to the $$L ^{2}$$-critical half-wave equation. Zbl 1288.35433
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2013
Dynamical ionization bounds for atoms. Zbl 1284.35404
Lenzmann, Enno; Lewin, Mathieu
2013
On singularity formation for the $$L^{2}$$-critical boson star equation. Zbl 1235.35231
Lenzmann, Enno; Lewin, Mathieu
2011
Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs. Zbl 1202.49013
Lenzmann, Enno; Lewin, Mathieu
2010
On blowup for time-dependent generalized Hartree-Fock equations. Zbl 1209.85009
Hainzl, Christian; Lenzmann, Enno; Lewin, Mathieu; Schlein, Benjamin
2010
Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266
Lenzmann, Enno
2009
On stability of pseudo-conformal blowup for $$L^{2}$$-critical Hartree NLS. Zbl 1214.35064
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2009
Boson stars as solitary waves. Zbl 1126.35064
Fröhlich, Jürg; Jonsson, B. Lars G.; Lenzmann, Enno
2007
Well-posedness for semi-relativistic Hartree equations of critical type. Zbl 1171.35474
Lenzmann, Enno
2007
Blowup for nonlinear wave equations describing boson stars. Zbl 1135.35011
Fröhlich, Jürg; Lenzmann, Enno
2007
Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory. Zbl 1130.85004
Fröhlich, Jürg; Lenzmann, Enno
2007
Effective dynamics for Boson stars. Zbl 1124.35084
Fröhlich, J.; Jonsson, B. L. G.; Lenzmann, E.
2007
Semi-classical dynamics in quantum spin systems. Zbl 1189.82078
Fröhlich, Jürg; Knowles, Antti; Lenzmann, Enno
2007
Mean-field limit of quantum Bose gases and nonlinear Hartree equation. Zbl 1292.81040
Fröhlich, Jürg; Lenzmann, Enno
2004
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### Cited by 723 Authors

 17 Dinh, Van Duong 16 Lenzmann, Enno 15 Saanouni, Tarek 14 Wei, Juncheng 14 Yang, Minbo 13 Ambrosio, Vincenzo 13 Hong, Younghun 11 Cho, Yonggeun 10 Squassina, Marco 9 Alves, Claudianor Oliveira 9 Choi, Woocheol 9 Cingolani, Silvia 9 Dai, Wei 9 Lewin, Mathieu 9 Liu, Weiming 9 Niu, Miaomiao 9 Raphael, Pierre 9 Secchi, Simone 9 Seiringer, Robert 9 Tang, Zhongwei 8 Feng, Binhua 8 Gao, Fashun 8 Georgiev, Vladimir S. 8 Ozawa, Tohru 8 Seok, Jinmyoung 8 Stefanov, Atanas G. 7 Esfahani, Amin 7 Huang, Chengming 7 Niu, Yaoming 7 Sire, Yannick 7 Wang, Yushun 7 Zhu, Shihui 6 Ao, Weiwei 6 González, María del Mar 6 Guo, Qing 6 Hainzl, Christian 6 Lee, Kiyeon 6 Miyagaki, Olimpio Hiroshi 6 Nolasco, Margherita 6 Peng, Shuangjie 6 Schikorra, Armin 6 Schlein, Benjamin 6 Xiang, Changlin 6 Yang, Changhun 5 Bonheure, Denis 5 Cai, Wenjun 5 Chen, Guoyuan 5 Coti Zelati, Vittorio 5 Frank, Rupert L. 5 Fujiwara, Kazumasa 5 Hajaiej, Hichem 5 Hu, Dongdong 5 Martel, Yvan 5 Qin, Guolin 5 Saut, Jean-Claude 5 Torres Ledesma, César Enrique 5 Visciglia, Nicola 5 Wang, Pengde 5 Xiao, Aiguo 5 Yang, Jianfu 5 Yang, Jing 5 Zheng, Youquan 5 Zou, Wenming 4 Bellazzini, Jacopo 4 Bhakta, Mousomi 4 d’Avenia, Pietro 4 Ding, Yong 4 Do Ó, João M. Bezerra 4 Figueiredo, Giovany Malcher 4 Fu, Yayun 4 Gao, Yanfang 4 Guo, Yuxia 4 Khaliq, Abdul Q. M. 4 Krieger, Joachim 4 Liu, Jiayin 4 Long, Wei 4 Musso, Monica 4 Naumkin, Pavel Ivanovich 4 Pelinovsky, Dmitry Efimovich 4 Peng, Shaolong 4 Tanaka, Kazunaga 4 Teng, Kaimin 4 Van Schaftingen, Jean 4 Wang, Jun 4 Wang, Junjie 4 Wang, Qingxuan 4 Zeng, Xiaoyu 4 Zhang, Guoqing 4 Zhao, Dun 3 Alouini, Brahim 3 An, Xiaoming 3 Benedikter, Niels 3 Biala, Toheeb A. 3 Bieganowski, Bartosz 3 Cao, Daomin 3 Chan, Hardy 3 Dávila, Juan 3 DelaTorre, Azahara 3 Fall, Mouhamed Moustapha 3 Feliciangeli, Dario ...and 623 more Authors
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### Cited in 149 Serials

 46 Journal of Mathematical Physics 41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Journal of Differential Equations 25 Discrete and Continuous Dynamical Systems 25 Communications on Pure and Applied Analysis 22 Journal of Mathematical Analysis and Applications 19 Communications in Mathematical Physics 19 Calculus of Variations and Partial Differential Equations 14 Nonlinearity 14 Journal of Functional Analysis 12 Applied Numerical Mathematics 12 Communications in Partial Differential Equations 11 SIAM Journal on Mathematical Analysis 11 Advanced Nonlinear Studies 10 Applicable Analysis 10 Archive for Rational Mechanics and Analysis 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 NoDEA. Nonlinear Differential Equations and Applications 9 Journal of Evolution Equations 9 Complex Variables and Elliptic Equations 8 Proceedings of the American Mathematical Society 8 Journal of Dynamics and Differential Equations 7 Letters in Mathematical Physics 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Annales Henri Poincaré 7 Advances in Nonlinear Analysis 6 Computers & Mathematics with Applications 6 Reviews in Mathematical Physics 6 Advances in Mathematics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Applied Mathematics Letters 6 Communications in Contemporary Mathematics 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Computational Physics 5 Applied Mathematics and Computation 5 Mathematische Annalen 5 Transactions of the American Mathematical Society 5 Revista Matemática Iberoamericana 5 Electronic Journal of Differential Equations (EJDE) 5 Science China. Mathematics 4 Acta Applicandae Mathematicae 4 Physica D 4 The Journal of Geometric Analysis 4 International Journal of Computer Mathematics 4 Mathematical Physics, Analysis and Geometry 4 Communications in Nonlinear Science and Numerical Simulation 4 Nonlinear Analysis. Real World Applications 4 Boundary Value Problems 3 Communications on Pure and Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Duke Mathematical Journal 3 Forum Mathematicum 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Topological Methods in Nonlinear Analysis 3 Fractional Calculus & Applied Analysis 3 Analysis and Applications (Singapore) 3 Mediterranean Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Séminaire Laurent Schwartz. EDP et Applications 3 SN Partial Differential Equations and Applications 2 Funkcialaj Ekvacioj. Serio Internacia 2 Mathematics and Computers in Simulation 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Bulletin of the Korean Mathematical Society 2 Journal of Scientific Computing 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Nonlinear Science 2 Abstract and Applied Analysis 2 Living Reviews in Relativity 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics 2 Journal of Hyperbolic Differential Equations 2 Frontiers of Mathematics in China 2 São Paulo Journal of Mathematical Sciences 2 Journal of Pseudo-Differential Operators and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Forum of Mathematics, Sigma 2 AIMS Mathematics 2 Communications on Applied Mathematics and Computation 2 Electronic Research Archive 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Theoretical and Mathematical Physics 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 BIT 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Real Analysis Exchange 1 Results in Mathematics ...and 49 more Serials
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### Cited in 36 Fields

 608 Partial differential equations (35-XX) 92 Quantum theory (81-XX) 58 Numerical analysis (65-XX) 46 Real functions (26-XX) 31 Dynamical systems and ergodic theory (37-XX) 31 Operator theory (47-XX) 29 Statistical mechanics, structure of matter (82-XX) 24 Astronomy and astrophysics (85-XX) 22 Functional analysis (46-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Integral equations (45-XX) 19 Fluid mechanics (76-XX) 17 Relativity and gravitational theory (83-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Global analysis, analysis on manifolds (58-XX) 10 Ordinary differential equations (34-XX) 8 Optics, electromagnetic theory (78-XX) 7 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 5 Potential theory (31-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 3 Difference and functional equations (39-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)