## Fukuizumi, Reika

Compute Distance To:
 Author ID: fukuizumi.reika Published as: Fukuizumi, Reika
 Documents Indexed: 30 Publications since 2001, including 1 Book 1 Contribution as Editor Co-Authors: 22 Co-Authors with 25 Joint Publications 654 Co-Co-Authors
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### Co-Authors

 6 single-authored 7 de Bouard, Anne 4 Ohta, Masahito 3 Ozawa, Tohru 2 Adami, Riccardo 2 Debussche, Arnaud 2 Kikuchi, Hiroaki 2 Poncet, Romain 2 Sacchetti, Andrea 2 Schneider, Guido 2 Selem, Fouad Hadj 1 Fibich, Gadi 1 Hahn, Leo 1 Holmer, Justin 1 Hoshino, Masato 1 Inui, Takahisa 1 Jeanjean, Louis 1 Ksherim, Baruch 1 Le Coz, Stefan 1 Marzuola, Jeremy L. 1 Pelinovsky, Dmitry Efimovich 1 Segawa, Etsuo 1 Sivan, Yonatan
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### Serials

 5 Nonlinearity 2 Journal of Statistical Physics 2 Differential and Integral Equations 2 Discrete and Continuous Dynamical Systems 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Mathematics of Kyoto University 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Asymptotic Analysis 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Journal of Nonlinear Science 1 Séminaire Équations aux Dérivées Partielles 1 Advances in Differential Equations 1 RIMS Kokyuroku 1 Annales Henri Poincaré 1 Discrete and Continuous Dynamical Systems. Series B 1 Quantum Information Processing 1 Oberwolfach Reports 1 Tohoku Mathematical Publications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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### Fields

 30 Partial differential equations (35-XX) 9 Probability theory and stochastic processes (60-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 301 times in 158 Documents Cited by Year
Nonlinear Schrödinger equation with a point defect. Zbl 1145.35457
Fukuizumi, Reika; Ohta, Masahito; Ozawa, Tohru
2008
Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential. Zbl 1147.35356
Le Coz, Stefan; Fukuizumi, Reika; Fibich, Gadi; Ksherim, Baruch; Sivan, Yonatan
2008
Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential. Zbl 0992.35094
Fukuizumi, Reika
2001
Instability of standing waves for nonlinear Schrödinger equations with potentials. Zbl 1031.35131
Fukuizumi, Reika; Ohta, Masahito
2003
Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential. Zbl 1144.35465
Fukuizumi, Reika; Jeanjean, Louis
2008
Stability of standing waves for nonlinear Schrödinger equations with potentials. Zbl 1031.35132
Fukuizumi, Reika; Ohta, Masahito
2003
Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1085.35123
de Bouard, Anne; Fukuizumi, Reika
2005
Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1089.35067
Fukuizumi, Reika; Ohta, Masahito
2005
Stability of standing waves for nonlinear Schrödinger equations with critical power nonlinearity and potentials. Zbl 1107.35100
Fukuizumi, Reika
2005
Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit. Zbl 1252.82017
Fukuizumi, Reika; Sacchetti, Andrea
2011
Remarks on the stable standing waves for nonlinear Schrödinger equations with double power nonlinearity. Zbl 1051.35085
Fukuizumi, Reika
2003
Representation formula for stochastic Schrödinger evolution equations and applications. Zbl 1256.35145
de Bouard, Anne; Fukuizumi, Reika
2012
Exponential decay of solutions to nonlinear elliptic equations with potentials. Zbl 1108.35056
Fukuizumi, Reika; Ozawa, Tohru
2005
Stationary states for nonlinear Schrödinger equations with periodic potentials. Zbl 1302.35347
Fukuizumi, Reika; Sacchetti, Andrea
2014
Stability and instability of standing waves for nonlinear Schrödinger equations. Zbl 1035.35089
Fukuizumi, Reika
2003
Long time behavior of Gross-Pitaevskii equation at positive temperature. Zbl 1406.35376
de Bouard, Anne; Debussche, Arnaud; Fukuizumi, Reika
2018
Modulation analysis for a stochastic NLS equation arising in Bose-Einstein condensation. Zbl 1180.35590
de Bouard, Anne; Fukuizumi, Reika
2009
On a decay property of solutions to the Haraux-Weissler equation. Zbl 1357.35130
Fukuizumi, Reika; Ozawa, Tohru
2006
Stationary problem related to the nonlinear Schrödinger equation on the unit ball. Zbl 1254.35207
2012
Stochastic fluctuations in the Gross-Pitaevskii equation. Zbl 1133.35096
de Bouard, Anne; Fukuizumi, Reika
2007
Scattering for the $$L^2$$ supercritical point NLS. Zbl 1457.35064
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin
2021
Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time. Zbl 1325.35205
Poncet, Romain; Fukuizumi, Reika; Bouard, Anne de
2015
Scattering for the $$L^2$$ supercritical point NLS. Zbl 1457.35064
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin
2021
Long time behavior of Gross-Pitaevskii equation at positive temperature. Zbl 1406.35376
de Bouard, Anne; Debussche, Arnaud; Fukuizumi, Reika
2018
Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time. Zbl 1325.35205
Poncet, Romain; Fukuizumi, Reika; Bouard, Anne de
2015
Stationary states for nonlinear Schrödinger equations with periodic potentials. Zbl 1302.35347
Fukuizumi, Reika; Sacchetti, Andrea
2014
Representation formula for stochastic Schrödinger evolution equations and applications. Zbl 1256.35145
de Bouard, Anne; Fukuizumi, Reika
2012
Stationary problem related to the nonlinear Schrödinger equation on the unit ball. Zbl 1254.35207
2012
Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit. Zbl 1252.82017
Fukuizumi, Reika; Sacchetti, Andrea
2011
Modulation analysis for a stochastic NLS equation arising in Bose-Einstein condensation. Zbl 1180.35590
de Bouard, Anne; Fukuizumi, Reika
2009
Nonlinear Schrödinger equation with a point defect. Zbl 1145.35457
Fukuizumi, Reika; Ohta, Masahito; Ozawa, Tohru
2008
Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential. Zbl 1147.35356
Le Coz, Stefan; Fukuizumi, Reika; Fibich, Gadi; Ksherim, Baruch; Sivan, Yonatan
2008
Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential. Zbl 1144.35465
Fukuizumi, Reika; Jeanjean, Louis
2008
Stochastic fluctuations in the Gross-Pitaevskii equation. Zbl 1133.35096
de Bouard, Anne; Fukuizumi, Reika
2007
On a decay property of solutions to the Haraux-Weissler equation. Zbl 1357.35130
Fukuizumi, Reika; Ozawa, Tohru
2006
Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1085.35123
de Bouard, Anne; Fukuizumi, Reika
2005
Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1089.35067
Fukuizumi, Reika; Ohta, Masahito
2005
Stability of standing waves for nonlinear Schrödinger equations with critical power nonlinearity and potentials. Zbl 1107.35100
Fukuizumi, Reika
2005
Exponential decay of solutions to nonlinear elliptic equations with potentials. Zbl 1108.35056
Fukuizumi, Reika; Ozawa, Tohru
2005
Instability of standing waves for nonlinear Schrödinger equations with potentials. Zbl 1031.35131
Fukuizumi, Reika; Ohta, Masahito
2003
Stability of standing waves for nonlinear Schrödinger equations with potentials. Zbl 1031.35132
Fukuizumi, Reika; Ohta, Masahito
2003
Remarks on the stable standing waves for nonlinear Schrödinger equations with double power nonlinearity. Zbl 1051.35085
Fukuizumi, Reika
2003
Stability and instability of standing waves for nonlinear Schrödinger equations. Zbl 1035.35089
Fukuizumi, Reika
2003
Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential. Zbl 0992.35094
Fukuizumi, Reika
2001
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### Cited by 183 Authors

 11 Ohta, Masahito 9 Sacchetti, Andrea 8 Fukuizumi, Reika 7 Angulo Pava, Jaime 7 Hernandez Ardila, Alex 7 Feng, Binhua 7 Goloshchapova, Nataliia 7 Zhang, Jian 6 Genoud, François 5 Noja, Diego 5 Saanouni, Tarek 4 Chen, Jianqing 4 Dinh, Van Duong 4 Fukaya, Noriyoshi 4 Le Coz, Stefan 3 Adami, Riccardo 3 Chen, Guanggan 3 Cho, Yonggeun 3 Fibich, Gadi 3 Kikuchi, Hiroaki 3 Liu, Jiayin 3 Maeda, Masaya 3 Maekawa, Yasunori 3 Pelinovsky, Dmitry Efimovich 3 Röckner, Michael 3 Stefanov, Atanas G. 3 Zhang, Deng 2 Alfimov, Georgiĭ Leonidovich 2 Banica, Valeria 2 Barbu, Viorel 2 Besse, Christophe 2 Cacciapuoti, Claudio 2 Chen, Ruipeng 2 Cheng, Zhipeng 2 Csobo, Elek 2 de Bouard, Anne 2 Debussche, Arnaud 2 Duboscq, Romain 2 Finco, Domenico 2 Gan, Zaihui 2 Ghanmi, Radhia 2 Guo, Boling 2 Hajaiej, Hichem 2 Hernandez Melo, Cesar Adolfo 2 Hezzi, Hanene 2 Huang, Juan 2 Keraani, Sahbi 2 Kizin, Pavel Pavlovich 2 Lewin, Mathieu 2 Liu, Qian 2 Liu, Yue 2 Luo, Xiao 2 Ozawa, Tohru 2 Phan Thành Nam 2 Poncet, Romain 2 Rougerie, Nicolas 2 Royer, Julien 2 Visciglia, Nicola 2 Wang, Qingxuan 2 Wang, Yanjin 2 Wei, Yunyun 2 Weinstein, Michael I. 2 Yang, Minbo 2 Zezyulin, Dmitry A. 2 Zhang, Guoping 2 Zhou, Yuqian 2 Zhu, Shihui 1 Ackermann, Nils 1 Ahmed, Md Salik 1 Akahori, Takafumi 1 Alharbi, Majed Ghazi 1 Arbunich, Jack 1 Bellazzini, Jacopo 1 Binhua, Feng 1 Bizoń, Piotr 1 Bourget, Olivier 1 Boussaid, Nabile 1 Burq, Nicolas 1 Cao, Pei 1 Cardoso, Mykael 1 Cely, Liliana 1 Chen, Yaming 1 Cheng, Ming 1 Colin, Mathieu 1 Colin, Thierry 1 Courdurier, Matias 1 Cuccagna, Scipio 1 Deng, Xiaogang 1 Duchêne, Vincent 1 Dugandžija, Nevena 1 Esfahani, Amin 1 Ezzoug, Emna 1 Fernández, Claudio A. 1 Ficek, Filip 1 Gallay, Thierry 1 Gavioli, Andrea 1 Georgiev, Vladimir S. 1 Goodman, Roy H. 1 Goubet, Olivier 1 Guo, Qing ...and 83 more Authors
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### Cited in 69 Serials

 16 Journal of Differential Equations 13 Journal of Mathematical Physics 12 Physica D 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Mathematical Analysis and Applications 4 Communications in Mathematical Physics 4 Applied Mathematics and Computation 4 SIAM Journal on Mathematical Analysis 4 Communications on Pure and Applied Analysis 3 Applicable Analysis 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Real World Applications 3 Advances in Nonlinear Analysis 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Dynamics and Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Annales Henri Poincaré 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Nonlinear Studies 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Topological Methods in Nonlinear Analysis 1 Abstract and Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Journal of Industrial and Management Optimization 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Communications in Theoretical Physics 1 São Paulo Journal of Mathematical Sciences 1 Journal of Spectral Theory 1 Arabian Journal of Mathematics 1 Evolution Equations and Control Theory 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics 1 Annales Henri Lebesgue
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### Cited in 25 Fields

 155 Partial differential equations (35-XX) 35 Quantum theory (81-XX) 22 Dynamical systems and ergodic theory (37-XX) 15 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 8 Optics, electromagnetic theory (78-XX) 7 Probability theory and stochastic processes (60-XX) 5 Operator theory (47-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)