## Raphael, Pierre

Compute Distance To:
 Author ID: raphael.pierre Published as: Raphaël, Pierre; Raphael, Pierre; Raphaël, P. more...less External Links: MGP
 Documents Indexed: 65 Publications since 2003, including 1 Book 2 Contributions as Editor Co-Authors: 26 Co-Authors with 58 Joint Publications 530 Co-Co-Authors
all top 5

### Co-Authors

 9 single-authored 26 Merle, Frank 11 Martel, Yvan 10 Szeftel, Jérémie 9 Lemou, Mohammed 9 Méhats, Florian 5 Rodnianski, Igor 4 Collot, Charles 3 Krieger, Joachim 3 Lenzmann, Enno 3 Schweyer, Rémi 2 Naumkin, Ivan P. 2 Planchon, Fabrice 1 Bahri, Yakine 1 Colliander, James E. 1 Fibich, Gadi 1 Gerard, Patrick 1 Hadzic, Mahir 1 Hillairet, Matthieu 1 Koch, Herbert 1 Le Coz, Stefan 1 Ozawa, Tohru 1 Pocovnicu, Oana 1 Tataru, Daniel 1 Tsutsumi, Yoshio 1 Tzvetkov, Nikolay 1 Visan, Monica
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### Serials

 5 Communications in Mathematical Physics 4 Inventiones Mathematicae 4 Journal of the American Mathematical Society 4 Annales Henri Poincaré 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematische Annalen 3 Séminaire Équations aux Dérivées Partielles 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Gazette des Mathématiciens 2 Geometric and Functional Analysis. GAFA 2 Journal of the European Mathematical Society (JEMS) 2 Analysis & PDE 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Publications Mathématiques 1 Memoirs of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Annals of Mathematics. Second Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Oberwolfach Reports 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Cambridge Journal of Mathematics 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications
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### Fields

 67 Partial differential equations (35-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

57 Publications have been cited 1,403 times in 557 Documents Cited by Year
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation. Zbl 1185.35263
Merle, Frank; Raphaël, Pierre
2005
On universality of blow up profile for $$L^2$$ critical nonlinear Schrödinger equation. Zbl 1067.35110
Merle, Frank; Raphaël, Pierre
2004
On a sharp lower bound on the blow-up rate for the $$L^2$$ critical nonlinear Schrödinger equation. Zbl 1075.35077
Merle, Frank; Raphaël, Pierre
2006
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135
Merle, Frank; Raphaël, Pierre
2003
Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation. Zbl 1062.35137
Merle, Frank; Raphaël, Pierre
2005
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358
Raphaël, Pierre; Rodnianski, Igor
2012
Nondispersive solutions to the $$L ^{2}$$-critical half-wave equation. Zbl 1288.35433
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2013
Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS. Zbl 1218.35226
Raphaël, Pierre; Szeftel, Jeremie
2011
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2013
Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation. Zbl 1082.35143
Raphaël, Pierre
2005
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
2012
Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton. Zbl 1301.35137
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2014
Orbital stability of spherical galactic models. Zbl 1232.35170
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2012
Blow up for the critical gKdV equation. III: Exotic regimes. Zbl 1331.35307
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2015
Stable blowup dynamics for the 1-corotational energy critical harmonic heat flow. Zbl 1270.35136
Raphaël, Pierre; Schweyer, Remi
2013
Blow up for the critical gKdV equation. II: Minimal mass dynamics. Zbl 1326.35320
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2015
Proof of a spectral property related to the singularity formation for the $$L^{2}$$ critical nonlinear Schrödinger equation. Zbl 1100.35097
Fibich, Gadi; Merle, Frank; Raphaël, Pierre
2006
Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions. Zbl 1401.35178
Collot, Charles; Merle, Frank; Raphaël, Pierre
2017
On the stability of critical chemotactic aggregation. Zbl 1320.35100
Raphaël, Pierre; Schweyer, Rémi
2014
Blow up of the critical norm for some radial $$L^2$$ super critical nonlinear Schrödinger equations. Zbl 1188.35182
Merle, Frank; Raphaël, Pierre
2008
Two-soliton solutions to the three-dimensional gravitational Hartree equation. Zbl 1193.35163
Krieger, Joachim; Raphaël, Pierre; Martel, Yvan
2009
The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system. Zbl 1221.35417
Lemou, Mohammed; Méhats, Florian; Raphael, Pierre
2008
Stable self-similar blow-up dynamics for slightly $$L^{2}$$ super-critical NLS equations. Zbl 1204.35153
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2010
Type II blow up for the energy supercritical NLS. Zbl 1347.35215
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2015
Existence and stability of a solution blowing up on a sphere for an $$L^2$$-supercritical nonlinear Schrödinger equation. Zbl 1117.35077
Raphaël, Pierre
2006
Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315
Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre
2016
The instability of Bourgain-Wang solutions for the $$L^2$$ critical NLS. Zbl 1294.35145
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2013
Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map. (Dynamique explosive de solutions régulières équivariantes de l’application de Schrödinger map.) Zbl 1213.35139
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2011
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation. Zbl 1403.35280
Martel, Yvan; Raphaël, Pierre
2018
A new variational approach to the stability of gravitational systems. Zbl 1339.35320
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2011
Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow. Zbl 1327.35196
Raphaël, Pierre; Schweyer, Remi
2014
Existence and stability of the log-log blow-up dynamics for the $$L^2$$-critical nonlinear Schrödinger equation in a domain. Zbl 1127.35062
Planchon, Fabrice; Raphaël, Pierre
2007
On collapsing ring blow-up solutions to the mass supercritical nonlinear Schrödinger equation. Zbl 1292.35283
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2014
On stability of pseudo-conformal blowup for $$L^{2}$$-critical Hartree NLS. Zbl 1214.35064
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2009
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation. Zbl 1354.35141
Le Coz, Stefan; Martel, Yvan; Raphaël, Pierre
2016
Standing ring blow up solutions to the $$N$$-dimensional quintic nonlinear Schrödinger equation. Zbl 1184.35295
Raphaël, Pierre; Szeftel, Jérémie
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
Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system. Zbl 1206.82092
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2008
Orbital stability and singularity formation for Vlasov-Poisson systems. Zbl 1073.70012
Lemou, Mohammed; Méhats, Florian; Raphael, Pierre
2005
Strongly anisotropic type II blow up at an isolated point. Zbl 1436.35253
Collot, Charles; Merle, Frank; Raphaël, Pierre
2020
On the stability of type I blow up for the energy super critical heat equation. Zbl 1430.35138
Collot, Charles; Raphaël, Pierre; Szeftel, Jeremie
2019
On one blow up point solutions to the critical nonlinear Schrödinger equation. Zbl 1117.35075
Merle, Frank; Raphael, Pierre
2005
Rough blowup solutions to the $$L^2$$ critical NLS. Zbl 1387.35547
Colliander, James; Raphaël, Pierre
2009
Stability of ODE blow-up for the energy critical semilinear heat equation. (Stabilité de l’explosion type EDO pour l’équation de la chaleur énergie critique.) Zbl 1364.35156
Collot, Charles; Merle, Frank; Raphaël, Pierre
2017
Stable ground states for the relativistic gravitational Vlasov-Poisson system. Zbl 1179.35054
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2009
On strongly anisotropic type I blowup. Zbl 1432.35124
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2020
Structure of the linearized gravitational Vlasov-Poisson system close to a polytropic ground state. Zbl 1156.37016
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2008
Near soliton dynamics and singularity formation for $$L^2$$ critical problems. Zbl 1304.35650
Martel, Y.; Merle, F.; Raphaël, P.; Szeftel, J.
2014
Blow up and near soliton dynamics for the $$L^2$$ critical gKdV equation. Zbl 1319.35224
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2013
On melting and freezing for the 2D radial Stefan problem. Zbl 1446.35271
Hadžić, Mahir; Raphaël, Pierre
2019
On the singularity formation for the nonlinear Schrödinger equation. Zbl 1298.35202
Raphaël, Pierre
2013
Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system. Zbl 1138.35090
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2007
On small traveling waves to the mass critical fractional NLS. Zbl 1410.35210
Naumkin, Ivan; Raphaël, Pierre
2018
On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 07470584
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie
2022
A new variational approach to the stability of gravitational systems. Zbl 1170.85305
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2009
Concentration-compactness à la Kenig-Merle. (Concentration compacité à la Kenig-Merle.) Zbl 1294.35147
Raphaël, Pierre
2013
On traveling waves of the nonlinear Schrödinger equation escaping a potential well. Zbl 1437.35194
Naumkin, Ivan; Raphaël, Pierre
2020
On blow up for the energy super critical defocusing nonlinear Schrödinger equations. Zbl 07470584
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie
2022
Strongly anisotropic type II blow up at an isolated point. Zbl 1436.35253
Collot, Charles; Merle, Frank; Raphaël, Pierre
2020
On strongly anisotropic type I blowup. Zbl 1432.35124
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2020
On traveling waves of the nonlinear Schrödinger equation escaping a potential well. Zbl 1437.35194
Naumkin, Ivan; Raphaël, Pierre
2020
On the stability of type I blow up for the energy super critical heat equation. Zbl 1430.35138
Collot, Charles; Raphaël, Pierre; Szeftel, Jeremie
2019
On melting and freezing for the 2D radial Stefan problem. Zbl 1446.35271
Hadžić, Mahir; Raphaël, Pierre
2019
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation. Zbl 1403.35280
Martel, Yvan; Raphaël, Pierre
2018
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 small traveling waves to the mass critical fractional NLS. Zbl 1410.35210
Naumkin, Ivan; Raphaël, Pierre
2018
Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions. Zbl 1401.35178
Collot, Charles; Merle, Frank; Raphaël, Pierre
2017
Stability of ODE blow-up for the energy critical semilinear heat equation. (Stabilité de l’explosion type EDO pour l’équation de la chaleur énergie critique.) Zbl 1364.35156
Collot, Charles; Merle, Frank; Raphaël, Pierre
2017
Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315
Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre
2016
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation. Zbl 1354.35141
Le Coz, Stefan; Martel, Yvan; Raphaël, Pierre
2016
Blow up for the critical gKdV equation. III: Exotic regimes. Zbl 1331.35307
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2015
Blow up for the critical gKdV equation. II: Minimal mass dynamics. Zbl 1326.35320
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2015
Type II blow up for the energy supercritical NLS. Zbl 1347.35215
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2015
Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton. Zbl 1301.35137
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2014
On the stability of critical chemotactic aggregation. Zbl 1320.35100
Raphaël, Pierre; Schweyer, Rémi
2014
Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow. Zbl 1327.35196
Raphaël, Pierre; Schweyer, Remi
2014
On collapsing ring blow-up solutions to the mass supercritical nonlinear Schrödinger equation. Zbl 1292.35283
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2014
Near soliton dynamics and singularity formation for $$L^2$$ critical problems. Zbl 1304.35650
Martel, Y.; Merle, F.; Raphaël, P.; Szeftel, J.
2014
Nondispersive solutions to the $$L ^{2}$$-critical half-wave equation. Zbl 1288.35433
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2013
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. Zbl 1326.35052
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2013
Stable blowup dynamics for the 1-corotational energy critical harmonic heat flow. Zbl 1270.35136
Raphaël, Pierre; Schweyer, Remi
2013
The instability of Bourgain-Wang solutions for the $$L^2$$ critical NLS. Zbl 1294.35145
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2013
Blow up and near soliton dynamics for the $$L^2$$ critical gKdV equation. Zbl 1319.35224
Martel, Yvan; Merle, Frank; Raphaël, Pierre
2013
On the singularity formation for the nonlinear Schrödinger equation. Zbl 1298.35202
Raphaël, Pierre
2013
Concentration-compactness à la Kenig-Merle. (Concentration compacité à la Kenig-Merle.) Zbl 1294.35147
Raphaël, Pierre
2013
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. Zbl 1284.35358
Raphaël, Pierre; Rodnianski, Igor
2012
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
2012
Orbital stability of spherical galactic models. Zbl 1232.35170
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2012
Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS. Zbl 1218.35226
Raphaël, Pierre; Szeftel, Jeremie
2011
Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map. (Dynamique explosive de solutions régulières équivariantes de l’application de Schrödinger map.) Zbl 1213.35139
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor
2011
A new variational approach to the stability of gravitational systems. Zbl 1339.35320
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2011
Stable self-similar blow-up dynamics for slightly $$L^{2}$$ super-critical NLS equations. Zbl 1204.35153
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie
2010
Two-soliton solutions to the three-dimensional gravitational Hartree equation. Zbl 1193.35163
Krieger, Joachim; Raphaël, Pierre; Martel, Yvan
2009
On stability of pseudo-conformal blowup for $$L^{2}$$-critical Hartree NLS. Zbl 1214.35064
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre
2009
Standing ring blow up solutions to the $$N$$-dimensional quintic nonlinear Schrödinger equation. Zbl 1184.35295
Raphaël, Pierre; Szeftel, Jérémie
2009
Rough blowup solutions to the $$L^2$$ critical NLS. Zbl 1387.35547
Colliander, James; Raphaël, Pierre
2009
Stable ground states for the relativistic gravitational Vlasov-Poisson system. Zbl 1179.35054
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2009
A new variational approach to the stability of gravitational systems. Zbl 1170.85305
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2009
Blow up of the critical norm for some radial $$L^2$$ super critical nonlinear Schrödinger equations. Zbl 1188.35182
Merle, Frank; Raphaël, Pierre
2008
The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system. Zbl 1221.35417
Lemou, Mohammed; Méhats, Florian; Raphael, Pierre
2008
Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system. Zbl 1206.82092
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2008
Structure of the linearized gravitational Vlasov-Poisson system close to a polytropic ground state. Zbl 1156.37016
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2008
Existence and stability of the log-log blow-up dynamics for the $$L^2$$-critical nonlinear Schrödinger equation in a domain. Zbl 1127.35062
Planchon, Fabrice; Raphaël, Pierre
2007
Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system. Zbl 1138.35090
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre
2007
On a sharp lower bound on the blow-up rate for the $$L^2$$ critical nonlinear Schrödinger equation. Zbl 1075.35077
Merle, Frank; Raphaël, Pierre
2006
Proof of a spectral property related to the singularity formation for the $$L^{2}$$ critical nonlinear Schrödinger equation. Zbl 1100.35097
Fibich, Gadi; Merle, Frank; Raphaël, Pierre
2006
Existence and stability of a solution blowing up on a sphere for an $$L^2$$-supercritical nonlinear Schrödinger equation. Zbl 1117.35077
Raphaël, Pierre
2006
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation. Zbl 1185.35263
Merle, Frank; Raphaël, Pierre
2005
Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation. Zbl 1062.35137
Merle, Frank; Raphaël, Pierre
2005
Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation. Zbl 1082.35143
Raphaël, Pierre
2005
Orbital stability and singularity formation for Vlasov-Poisson systems. Zbl 1073.70012
Lemou, Mohammed; Méhats, Florian; Raphael, Pierre
2005
On one blow up point solutions to the critical nonlinear Schrödinger equation. Zbl 1117.35075
Merle, Frank; Raphael, Pierre
2005
On universality of blow up profile for $$L^2$$ critical nonlinear Schrödinger equation. Zbl 1067.35110
Merle, Frank; Raphaël, Pierre
2004
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135
Merle, Frank; Raphaël, Pierre
2003
all top 5

### Cited by 508 Authors

 40 Raphael, Pierre 29 Merle, Frank 26 Martel, Yvan 15 Zaag, Hatem 14 Kenig, Carlos Eduardo 14 Krieger, Joachim 13 Lemou, Mohammed 13 Muñoz, Claudio 12 Dinh, Van Duong 12 Donninger, Roland 12 Zhu, Shihui 11 Méhats, Florian 11 Rein, Gerhard 10 Duyckaerts, Thomas 10 Zhang, Jian 9 Roudenko, Svetlana 8 Lenzmann, Enno 8 Szeftel, Jérémie 8 Wei, Juncheng 7 Carles, Rémi 7 Collot, Charles 7 Del Pino, Manuel A. 7 Glogić, Irfan 7 Hadzic, Mahir 7 Holmer, Justin 7 Jendrej, Jacek 7 Klein, Christian 7 Li, Xiaoguang 7 Niu, Yaoming 7 Schlag, Wilhelm 6 Côte, Raphaël 6 Cuccagna, Scipio 6 Fibich, Gadi 6 Keraani, Sahbi 6 Maeda, Masaya 6 Mizoguchi, Noriko 6 Nguyen, Van Tien 6 Schörkhuber, Birgit 6 Zhao, Lifeng 6 Zhong, Penghong 5 Farah, Luiz Gustavo 5 Gavish, Nir 5 Ghoul, Tej-Eddine 5 Kowalczyk, Michał 5 Lawrie, Andrew G. W. 5 Li, Ze 5 Masmoudi, Nader 5 Ozawa, Tohru 5 Rodnianski, Igor 5 Tataru, Daniel 5 Visciglia, Nicola 4 Biernat, Paweł 4 Ding, Yong 4 Dodson, Benjamin G. 4 Fujiwara, Kazumasa 4 Georgiev, Vladimir S. 4 Hong, Younghun 4 Musso, Monica 4 Nouaili, Nejla 4 Oh, Sung-Jin 4 Perelman, Galina 4 Pilod, Didier 4 Saut, Jean-Claude 4 Seki, Yukihiro 4 Tao, Terence 4 Visan, Monica 4 Wang, Youde 4 Winkler, Michael 4 Yang, Ganshan 4 Yang, Han 4 Young, Brent 3 Alouini, Brahim 3 Banica, Valeria 3 Bedrossian, Jacob 3 Bellazzini, Jacopo 3 Calvez, Vincent 3 Carrillo de la Plata, José Antonio 3 Chen, Jiajie 3 Cho, Yonggeun 3 Colliander, James E. 3 Combet, Vianney 3 Darwich, Mohamad 3 Després, Bruno 3 Galaktionov, Victor Aleksandrovich 3 Guzmán, Carlos M. 3 Ibrahim, Slim 3 Kwak, Chulkwang 3 Lin, Zhiwu 3 Machihara, Shuji 3 Nakanishi, Kenji 3 Naumkin, Pavel Ivanovich 3 Pigott, Brian 3 Pocovnicu, Oana 3 Schweyer, Rémi 3 Shahshahani, Sohrab 3 Sigal, Israel Michael 3 Souplet, Philippe 3 Sparber, Christof 3 Speck, Jared 3 Tzvetkov, Nikolay ...and 408 more Authors
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### Cited in 127 Serials

 41 Communications in Mathematical Physics 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Differential Equations 19 Discrete and Continuous Dynamical Systems 18 Archive for Rational Mechanics and Analysis 18 Journal of Mathematical Physics 18 Journal of Functional Analysis 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Séminaire Laurent Schwartz. EDP et Applications 15 Physica D 14 Inventiones Mathematicae 14 SIAM Journal on Mathematical Analysis 13 Communications in Partial Differential Equations 12 Journal of Mathematical Analysis and Applications 12 Nonlinearity 12 Transactions of the American Mathematical Society 11 Mathematische Annalen 11 Calculus of Variations and Partial Differential Equations 11 Communications on Pure and Applied Analysis 11 Annals of PDE 10 Analysis & PDE 8 Journal of Evolution Equations 8 Journal of Hyperbolic Differential Equations 7 Journal of the American Mathematical Society 7 Annales Henri Poincaré 6 Communications in Contemporary Mathematics 5 Communications on Pure and Applied Mathematics 5 Advances in Mathematics 5 Applied Mathematics and Computation 5 Duke Mathematical Journal 5 Nonlinear Analysis. Real World Applications 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Applicable Analysis 4 Memoirs of the American Mathematical Society 4 Proceedings of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Publications Mathématiques 3 Geometric and Functional Analysis. GAFA 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Dynamics and Differential Equations 3 Journal of the European Mathematical Society (JEMS) 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 3 Kinetic and Related Models 2 Journal of Computational Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Monatshefte für Mathematik 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Revista Matemática Iberoamericana 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Selecta Mathematica. New Series 2 Journal of Inequalities and Applications 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 SN Partial Differential Equations and Applications 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Transport Theory and Statistical Physics 1 Reviews in Mathematical Physics 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Analysis (München) ...and 27 more Serials
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### Cited in 32 Fields

 533 Partial differential equations (35-XX) 44 Dynamical systems and ergodic theory (37-XX) 35 Fluid mechanics (76-XX) 32 Quantum theory (81-XX) 31 Global analysis, analysis on manifolds (58-XX) 28 Statistical mechanics, structure of matter (82-XX) 24 Astronomy and astrophysics (85-XX) 18 Numerical analysis (65-XX) 18 Biology and other natural sciences (92-XX) 16 Relativity and gravitational theory (83-XX) 13 Differential geometry (53-XX) 12 Optics, electromagnetic theory (78-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Operator theory (47-XX) 9 Mechanics of particles and systems (70-XX) 8 Real functions (26-XX) 8 Ordinary differential equations (34-XX) 7 Mechanics of deformable solids (74-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 3 Integral equations (45-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX)