Edit Profile (opens in new tab) Segata, Jun-ichi Co-Author Distance Author ID: segata.jun-ichi Published as: Segata, Jun-ichi; Segata, Jun-Ichi; Segata, Junichi; Segata, J. more...less Documents Indexed: 42 Publications since 2003 Co-Authors: 13 Co-Authors with 27 Joint Publications 242 Co-Co-Authors all top 5 Co-Authors 15 single-authored 13 Masaki, Satoshi 4 Kita, Naoyasu 3 Lin, Chikun 3 Murphy, Jason 3 Uriya, Kota 2 Fang, Yung-Fu 2 Saut, Jean-Claude 2 Shimomura, Akihiro 1 Kawashima, Shuichi 1 Maeda, Masaya 1 Smith, Derek L. 1 Watanabe, Keishu 1 Wu, Tsungfang all top 5 Serials 4 RIMS Kôkyûroku Bessatsu 3 Journal of Differential Equations 3 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Funkcialaj Ekvacioj. Serio Internacia 2 Communications on Pure and Applied Analysis 2 Analysis & PDE 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Hokkaido Mathematical Journal 1 Journal of Mathematics of Kyoto University 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications in Applied Analysis 1 Transactions of the American Mathematical Society. Series B all top 5 Fields 42 Partial differential equations (35-XX) 5 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 200 times in 133 Documents Cited by ▼ Year ▼ Modified wave operators for the fourth-order nonlinear Schrödinger-type equation with cubic nonlinearity. Zbl 1123.35072Segata, Jun-Ichi 31 2006 Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament. Zbl 1042.35077Segata, J. 27 2003 Remark on well-posedness for the fourth order nonlinear Schrödinger type equation. Zbl 1073.35200Segata, Jun-ichi 17 2004 Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation. Zbl 1383.35196Masaki, Satoshi; Segata, Jun-ichi 14 2018 On the well-posedness of the generalized Korteweg-de Vries equation in scale-critical lr-space. Zbl 1342.35309Masaki, Satoshi; Segata, Jun-Ichi 9 2016 Well-posedness and existence of standing waves for the fourth order nonlinear Schrödinger type equation. Zbl 1192.35167Segata, Jun-Ichi 8 2010 Modified scattering for the one-dimensional cubic NLS with a repulsive delta potential. Zbl 1479.35812Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi 8 2019 Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential. Zbl 1447.35299Masaki, Satoshi; Murphy, Jason; Segata, Jun-ichi 7 2020 Modified scattering for the quadratic nonlinear Klein-Gordon equation in two dimensions. Zbl 1404.35299Masaki, Satoshi; Segata, Jun-Ichi 7 2018 Existence and stability of standing waves of fourth order nonlinear Schrödinger type equation related to vortex filament. Zbl 1215.35149Maeda, Masaya; Segata, Jun-ichi 7 2011 Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion. Zbl 1406.35369Saut, Jean-Claude; Segata, Jun-Ichi 7 2019 Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrödinger type equation on torus. Zbl 1239.35150Segata, Jun-ichi 6 2012 Asymptotics of solutions of the fourth order Schrödinger type equation with a dissipative nonlinearity. Zbl 1116.35113Segata, Jun-ichi; Shimomura, Akihiro 5 2006 On the standing waves of quantum Zakharov system. Zbl 1383.82058Fang, Yung-Fu; Segata, Jun-ichi; Wu, Tsung-Fang 5 2018 The fourth-order nonlinear Schrödinger limit for quantum Zakharov system. Zbl 1358.35169Fang, Yung-Fu; Lin, Chi-Kun; Segata, Jun-Ichi 5 2016 A remark on asymptotics of solutions to Schrödinger equation with fourth-order dispersion. Zbl 1254.35025Segata, Jun-Ichi 4 2011 Final state problem for the cubic nonlinear Schrödinger equation with repulsive delta potential. Zbl 1314.35172Segata, Jun-Ichi 4 2015 On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension. Zbl 1492.35045Masaki, Satoshi; Segata, Jun-Ichi; Uriya, Kota 4 2022 Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions. Zbl 1397.35154Masaki, Satoshi; Segata, Jun-ichi 3 2018 Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential. Zbl 1516.35384Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi 3 2023 Propagation of regularity and persistence of decay for fifth order dispersive models. Zbl 1382.35258Segata, Jun-Ichi; Smith, Derek L. 3 2017 Refinement of Strichartz estimates for Airy equation in nondiagonal case and its application. Zbl 1392.35265Masaki, Satoshi; Segata, Jun-Ichi 3 2018 Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equation. Zbl 1285.35112Segata, Jun-ichi 3 2013 Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions. Zbl 1444.35117Masaki, Satoshi; Segata, Jun-ichi; Uriya, Kota 2 2020 Long range scattering for the nonlinear Schrödinger equation with higher order anisotropic dispersion in two dimensions. Zbl 1436.35294Saut, Jean-Claude; Segata, Jun-ichi 2 2020 On asymptotic behavior of solutions to Korteweg-de Vries type equations related to vortex filament with axial flow. Zbl 1147.35087Segata, Jun-ichi 1 2008 Well-posedness for the Boussinesq-type system related to the water wave. Zbl 1147.35340Kita, Naoyasu; Segata, Jun-ichi 1 2004 Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension. Zbl 1473.35058Segata, Jun-Ichi 1 2021 Time local well-posedness for the Benjamin-Ono equation with large initial data. Zbl 1101.35067Kita, Naoyasu; Segata, Jun-ichi 1 2006 Long time behavior of solutions to nonlinear Schrödinger equations with higher-order dispersion. Zbl 1335.35240Segata, Jun-ichi 1 2015 WKB analysis of the Schrödinger-KdV system. Zbl 1294.35123Lin, Chi-Kun; Segata, Jun-ichi 1 2014 Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential. Zbl 1516.35384Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi 3 2023 On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension. Zbl 1492.35045Masaki, Satoshi; Segata, Jun-Ichi; Uriya, Kota 4 2022 Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension. Zbl 1473.35058Segata, Jun-Ichi 1 2021 Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential. Zbl 1447.35299Masaki, Satoshi; Murphy, Jason; Segata, Jun-ichi 7 2020 Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions. Zbl 1444.35117Masaki, Satoshi; Segata, Jun-ichi; Uriya, Kota 2 2020 Long range scattering for the nonlinear Schrödinger equation with higher order anisotropic dispersion in two dimensions. Zbl 1436.35294Saut, Jean-Claude; Segata, Jun-ichi 2 2020 Modified scattering for the one-dimensional cubic NLS with a repulsive delta potential. Zbl 1479.35812Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi 8 2019 Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion. Zbl 1406.35369Saut, Jean-Claude; Segata, Jun-Ichi 7 2019 Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation. Zbl 1383.35196Masaki, Satoshi; Segata, Jun-ichi 14 2018 Modified scattering for the quadratic nonlinear Klein-Gordon equation in two dimensions. Zbl 1404.35299Masaki, Satoshi; Segata, Jun-Ichi 7 2018 On the standing waves of quantum Zakharov system. Zbl 1383.82058Fang, Yung-Fu; Segata, Jun-ichi; Wu, Tsung-Fang 5 2018 Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions. Zbl 1397.35154Masaki, Satoshi; Segata, Jun-ichi 3 2018 Refinement of Strichartz estimates for Airy equation in nondiagonal case and its application. Zbl 1392.35265Masaki, Satoshi; Segata, Jun-Ichi 3 2018 Propagation of regularity and persistence of decay for fifth order dispersive models. Zbl 1382.35258Segata, Jun-Ichi; Smith, Derek L. 3 2017 On the well-posedness of the generalized Korteweg-de Vries equation in scale-critical lr-space. Zbl 1342.35309Masaki, Satoshi; Segata, Jun-Ichi 9 2016 The fourth-order nonlinear Schrödinger limit for quantum Zakharov system. Zbl 1358.35169Fang, Yung-Fu; Lin, Chi-Kun; Segata, Jun-Ichi 5 2016 Final state problem for the cubic nonlinear Schrödinger equation with repulsive delta potential. Zbl 1314.35172Segata, Jun-Ichi 4 2015 Long time behavior of solutions to nonlinear Schrödinger equations with higher-order dispersion. Zbl 1335.35240Segata, Jun-ichi 1 2015 WKB analysis of the Schrödinger-KdV system. Zbl 1294.35123Lin, Chi-Kun; Segata, Jun-ichi 1 2014 Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equation. Zbl 1285.35112Segata, Jun-ichi 3 2013 Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrödinger type equation on torus. Zbl 1239.35150Segata, Jun-ichi 6 2012 Existence and stability of standing waves of fourth order nonlinear Schrödinger type equation related to vortex filament. Zbl 1215.35149Maeda, Masaya; Segata, Jun-ichi 7 2011 A remark on asymptotics of solutions to Schrödinger equation with fourth-order dispersion. Zbl 1254.35025Segata, Jun-Ichi 4 2011 Well-posedness and existence of standing waves for the fourth order nonlinear Schrödinger type equation. Zbl 1192.35167Segata, Jun-Ichi 8 2010 On asymptotic behavior of solutions to Korteweg-de Vries type equations related to vortex filament with axial flow. Zbl 1147.35087Segata, Jun-ichi 1 2008 Modified wave operators for the fourth-order nonlinear Schrödinger-type equation with cubic nonlinearity. Zbl 1123.35072Segata, Jun-Ichi 31 2006 Asymptotics of solutions of the fourth order Schrödinger type equation with a dissipative nonlinearity. Zbl 1116.35113Segata, Jun-ichi; Shimomura, Akihiro 5 2006 Time local well-posedness for the Benjamin-Ono equation with large initial data. Zbl 1101.35067Kita, Naoyasu; Segata, Jun-ichi 1 2006 Remark on well-posedness for the fourth order nonlinear Schrödinger type equation. Zbl 1073.35200Segata, Jun-ichi 17 2004 Well-posedness for the Boussinesq-type system related to the water wave. Zbl 1147.35340Kita, Naoyasu; Segata, Jun-ichi 1 2004 Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament. Zbl 1042.35077Segata, J. 27 2003 all cited Publications top 5 cited Publications all top 5 Cited by 167 Authors 17 Segata, Jun-ichi 14 Masaki, Satoshi 14 Naumkin, Pavel Ivanovich 11 Hayashi, Nakao 7 Uriya, Kota 4 Aoki, Kazuki 4 Maeda, Masaya 4 Miyazaki, Hayato 3 Cuccagna, Scipio 3 Feng, Hongliang 3 Huo, Zhaohui 3 Inui, Takahisa 3 Jia, Yueling 3 Murphy, Jason 3 Naumkin, Ivan P. 3 Saut, Jean-Claude 3 Wang, Baoxiang 3 Wu, Tsungfang 2 Georgiev, Vladimir S. 2 Guo, Cuihua 2 Hao, Chengchun 2 Hirayama, Hiroyuki 2 Hsiao, Ling 2 Ikeda, Masahiro 2 Juárez-Campos, Beatriz 2 Killip, Rowan 2 Kishimoto, Nobu 2 Mendez Navarro, Jesus A. 2 Mendez, Argenis J. 2 Miao, Changxing 2 Mizutani, Haruya 2 Okamoto, Mamoru 2 Pausader, Benoît 2 Pusateri, Fabio 2 Sawano, Yoshihiro 2 Su, Chunmei 2 Sun, Juntao 2 Tanaka, Tomoyuki 2 Tarulli, Mirko 2 Visan, Monica 2 Wang, Dong 2 Wang, Zhong 2 Yao, Shuai 2 Yao, Xiaohua 2 Zhang, Gengen 2 Zhang, Junyong 2 Zhang, Ting 1 Aiki, Masashi 1 Anco, Stephen C. 1 Ballesteros, Miguel 1 Banica, Valeria 1 Bao, Weizhu 1 Bényi, Árpád 1 Bonheure, Denis 1 Cai, Yongyong 1 Capistrano-Filho, Roberto de A. 1 Castéras, Jean-baptiste 1 Castro, Alejandro J. 1 Cavalcante, Márcio André Araújo 1 Cazenave, Thierry 1 Chaichenets, Leonid 1 Chen, Gong 1 Chikami, Noboru 1 Choi, Brian 1 Csobo, Elek 1 Darwich, Mohamad 1 Di, Huafei 1 Esfahani, Amin 1 Fang, Daoyuan 1 Fang, Yung-Fu 1 Feng, Binhua 1 Feng, Yue 1 Finco, Domenico 1 Freire, Ricardo. C. 1 Fu, Jinxue 1 Fukaya, Noriyoshi 1 Gallego, Fernando Andrés 1 Genoud, François 1 Germain, Pierre 1 Goubet, Olivier 1 Guo, Boling 1 Guo, Qing 1 Hakim, Denny Ivanal 1 Hamano, Masaru 1 Hatano, Naoya 1 Hu, Pingxu 1 Hyakuna, Ryosuke 1 Iguchi, Tatsuo 1 Iniesta, Diego 1 Kato, Isao 1 Kawahara, Yuichiro 1 Kawamoto, Masaki 1 Kita, Naoyasu 1 Kopylova, Elena A. 1 Kwak, Chulkwang 1 Li, Kelin 1 Li, Yinqin 1 Li, Yongsheng 1 Lin, Chikun 1 Liu, Jianfeng ...and 67 more Authors all top 5 Cited in 58 Serials 15 Journal of Differential Equations 9 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Mathematical Physics 6 Communications on Pure and Applied Analysis 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems 4 Journal of Functional Analysis 4 SIAM Journal on Mathematical Analysis 4 Journal of Hyperbolic Differential Equations 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis & PDE 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Hokkaido Mathematical Journal 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Applied Mathematics Letters 2 Communications in Partial Differential Equations 2 Communications in Contemporary Mathematics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Nonlinearity 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Potential Analysis 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of the Indonesian Mathematical Society 1 Advances in Difference Equations 1 Oberwolfach Reports 1 Journal of Physics A: Mathematical and Theoretical 1 Forum of Mathematics, Pi 1 Transactions of the American Mathematical Society. Series B 1 Pure and Applied Analysis all top 5 Cited in 21 Fields 125 Partial differential equations (35-XX) 18 Quantum theory (81-XX) 12 Fluid mechanics (76-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 7 Operator theory (47-XX) 6 Numerical analysis (65-XX) 5 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year