Updated on 2024/10/03

Information

 

写真a

 
SEGATA JUNICHI
 
Organization
Faculty of Mathematics Division of Analysis Professor
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
Joint Graduate School of Mathematics for Innovation (Concurrent)
Title
Professor
Contact information
メールアドレス
Profile
I have been studying the long time behavior of solution to the nonlinear partial differential equations arising from physics and engineering via the harmonic analysis method. Especially, I am interested in so called nonlinear dispersive equations such as KdV and nonlinear Schrodinger equations and study the large time behavior of solutions to those equations from the point of view of scattering and soliton.
External link

Degree

  • Doctor of Philosophy (Mathematics)

Research History

  • 平成18年4月〜平成22年9月 福岡教育大学教育学部 平成22年10月〜平成31年3月 東北大学大学院理学研究科

Research Interests・Research Keywords

  • Research theme:Long time behavior of solution to nonlinear dispersive partial differential equation

    Keyword:partial differential equation, harmonic analysis

    Research period: 2019.4 - 2031.3

Awards

  • 福原賞

    2016.12   日本数学会函数方程式論分科会   渦糸にまつわる非線形分散型方程式の数学解析に関して

  • 建部賢弘奨励賞

    2007.9   日本数学会   高階非線形分散型微分方程式の解の漸近挙動の研究に関して

Papers

  • On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension Reviewed International journal

    Satoshi Masaki, Jun-ichi Segata, and Kota Uriya

    Transactions of the American Mathematical Society, Ser. B   9   517 - 563   2022.6

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Long range scattering for the nonlinear Schrodinger equation with higher order anisotropic dispersion in two dimensions Reviewed International journal

    Jean-Claude Saut and Jun-ichi Segata

    Journal of Mathematical Analysis and Applications   483   2020.3

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions Reviewed International journal

    Satoshi Masaki, Jun-ichi Segata and Kota Uriya

    Journal de Mathematiques Pures et Appliquees.   139   177 - 203   2020.2

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Modified scattering for the 1d cubic NLS with a repulsive delta potential Reviewed International journal

    Satoshi Masaki, Jason Murphy, Jun-ichi Segata

    International Mathematics Research Notices   2019 ( 24 )   7577 - 7603   2019.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application Reviewed International journal

    Satoshi Masaki, Jun-ichi Segata

    SIAM Journal on Mathematical Analysis   50 ( 3 )   2839 - 2866   2018.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1137/17M1153893

  • Existence of a minimal non-scattering solution to the mass sub-critical generalized Korteweg-de Vries equation Reviewed International journal

    Satoshi Masaki, Jun-ichi Segata

    Annales de l'Institut Henri Poincar'e/Analyse non lin'eaire   35 ( 2 )   283 - 326   2018.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.anihpc.2017.04.003

  • Modified scattering for the quadratic nonlinear Klein-Gordon equation in two dimensions Reviewed International journal

    Satoshi Masaki, Jun-ichi Segata

    Transactions of the American Mathematical Society   370 ( 11 )   8155 - 8170   2018.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/tran/7262

  • The fourth order nonlinear Schr"odinger limit for quantum Zakharov system Reviewed International journal

    Yung-Fu Fang, Chi-Kun Lin, Jun-ichi Segata

    Zeitschrift f"ur angewandte Mathematik und Physik, ZAMP - Journal of Applied Mathematics and Physics   67 ( 6 )   2016.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00033-016-0740-1

  • On well-posedness of generalized Korteweg-de Vries equation in scale critical hat Lr space Reviewed International journal

    Satoshi Masaki, Jun-ichi Segata

    Analysis & PDE   9 ( 3 )   699 - 725   2016.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2140/apde.2016.9.699

  • Final state problem for the cubic nonlinear Schr"odinger equation with repulsive delta potential Reviewed International journal

    Jun-ichi Segata

    Communications in Partial Differential Equations   40 ( 2 )   309 - 328   2015.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/03605302.2014.930753

  • Refined energy inequality with application to well-posedness for the fourth order nonlinear Schr"odinger type equation on torus Reviewed International journal

    Jun-ichi Segata

    Journal of Differential Equations   252 ( 11 )   5994 - 6011   2012.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jde.2012.02.016

  • Existence and Stability of standing waves of fourth order nonlinear Schr"odinger type equation related to vortex filament Reviewed International journal

    Masaya Maeda, Jun-ichi Segata

    Funkcialaj Ekvacioj   54 ( 1 )   1 - 14   2011.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1619/fesi.54.1

  • On asymptotic behavior of solutions to Korteweg-de type equations related to vortex filament with axial flow Reviewed International journal

    Jun-ichi Segata

    Journal of Differential Equations   245 ( 2 )   281 - 306   2008.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jde.2008.03.031

  • Modified wave operators for the fourth-order non-linear Schr"odinger-type equation with cubic non-linearity Reviewed International journal

    Jun-ichi Segata

    Mathematical Methods in the Applied Sciences   29 ( 15 )   1785 - 1800   2006.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/mma.751

  • Time local well-posedness for the Benjamin-Ono equation with large initial data Reviewed International journal

    Naoyasu Kita, Jun-ichi Segata

    Publications of the Research Institute for Mathematical Sciences, Kyoto University   42 ( 1 )   143 - 171   2006.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2977/prims/1166642062

  • Remark on well-posedness for the fourth order nonlinear Schr"odinger type equation Reviewed International journal

    Jun-ichi Segata

    Proceedings of the American Mathematical Society   132 ( 12 )   3559 - 3568   2004.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/S0002-9939-04-07620-8

  • Scattering for quantum Zakharov system in two space dimensions Reviewed

    152 ( 8 )   3367 - 3379   2024.8   ISSN:0002-9939 eISSN:1088-6826

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/proc/16774

    Web of Science

    Scopus

  • Global Dynamics Below Excited Solitons for the Non-Radial NLS with Potential Reviewed International coauthorship

    Satoshi Masaki, Jason Murphy, and Jun-ichi Segata

    73 ( 3 )   1097 - 1205   2024   ISSN:0022-2518 eISSN:1943-5258

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    Language:English   Publishing type:Research paper (scientific journal)  

    Web of Science

  • Asymptotic Behavior in Time of Solution to System of Cubic Nonlinear Schrödinger Equations in One Space Dimension

    Masaki S., Segata J.I., Uriya K.

    Springer Proceedings in Mathematics and Statistics   451   119 - 180   2024   ISSN:21941009 ISBN:9789819703630

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    Publisher:Springer Proceedings in Mathematics and Statistics  

    In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Schrödinger equations in one space dimension. It turns out that for a system there exists a small solution of which asymptotic profile is a sum of two parts oscillating in a different way. This kind of behavior seems new. Further, several examples of systems which admit solution with several types of behavior such as modified scattering, nonlinear amplification, and nonlinear dissipation, are given. We also extend our previous classification result of nonlinear cubic systems.

    DOI: 10.1007/978-981-97-0364-7_5

    Scopus

  • Linear decay property for the hyperbolic-parabolic coupled systems of thermoviscoelasticity Reviewed International journal

    Priyanjana M.N. Dharmawardane, Shuichi Kawashima, Takayoshi Ogawa, and Jun-ichi Segata

    Journal of Hyperbolic Differential Equations   20   967 - 986   2023.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1142/S0219891623500297

  • Asymptotic stability of solitary waves for the 1d NLS with an attractive delta potential Reviewed International journal

    Satoshi Masaki, Jason Murphy, and Jun-ichi Segata

    Discrete and Continuous Dynamical Systems   43   2137 - 2185   2023.6

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  • Polynomial deceleration for a system of cubic nonlinear Schrodinger equations in one space dimension Reviewed International journal

    Naoyasu Kita, Satoshi Masaki, Jun-ichi Segata, and Kota Uriya

    Nonlinear Analysis   230   2023.2

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  • Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation in one space dimension Reviewed International journal

    Jun-ichi Segata

    Hokkaido Mathematical Journal   50   187 - 205   2021.8

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  • Stability of small solitary waves for the 1d NLS with an attractive delta potential Reviewed International journal

    Satoshi Masaki, Jason Murphy, Jun-ichi Segata

    Analysis & PDE   13 ( 4 )   1099 - 1128   2020.4

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  • Asymptotic behavior in time of solution to the nonlinear Schr"odinger equation with higher order anisotropic dispersion Reviewed International journal

    Jean-Claude Saut, Jun-ichi Segata

    Discrete and Continuous Dynamical Systems. Series A   39 ( 1 )   219 - 239   2019.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3934/dcds.2019009

  • Modified scattering for the Klein-Gordon equation with the critical nonlinearity Invited Reviewed International journal

    Satoshi Masaki, Jun-ichi Segata

    Communications on Pure and Applied Analysis   17 ( 4 )   1595 - 1611   2018.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3934/cpaa.2018076

  • On the standing waves of quantum Zakharov system Reviewed International journal

    Yung-Fu Fang, Jun-ichi Segata, Tsung-Fang Wu

    Journal of Mathematical Analysis and Applications   458 ( 2 )   1427 - 1448   2018.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jmaa.2017.10.033

  • Propagation of regularity and persistence of decay for fifth order dispersive models Reviewed International journal

    Jun-ichi Segata, Derek L. Smith

    Journal of Dynamics and Differential Equations   29 ( 2 )   701 - 736   2017.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s10884-015-9499-x

  • The generalized Korteweg-de Vries equation with time oscillating nonlinearity in scale critical Sobolev space Reviewed International journal

    Jun-ichi Segata, Keishu Watanabe

    Nonlinear Differential Equations and Applications, NoDEA   23 ( 5 )   2016.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00030-016-0405-y

  • Initial value problem for the fourth order nonlinear Schr"odinger type equation on torus and orbital stability of standing waves Reviewed International journal

    Jun-ichi Segata

    Communications on Pure and Applied Analysis   14 ( 3 )   843 - 859   2015.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3934/cpaa.2015.14.843

  • Long time behavior of solutions to non-linear Schr"odinger equations with higher order dispersion Invited Reviewed International journal

    Jun-ichi Segata

    Advanced Studies in Pure Mathematics   64   151 - 162   2015.4

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • WKB analysis of the Schr"odinger-KdV system Reviewed International journal

    Chi-Kun Lin, Jun-ichi Segata

    Journal of Differential Equations   256 ( 11 )   3817 - 3834   2014.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jde.2014.03.001

  • Orbital stability of two parameter family of solitary waves for fourth order nonlinear Schr"odinger type equation Reviewed International journal

    Jun-ichi Segata

    Journal of Mathematical Physics   54 ( 6 )   2013.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1063/1.4811522

  • The initial value problem for some hyperbolic-dispersive system Reviewed International journal

    Shuichi Kawashima, Chi-Kun Lin, Jun-ichi Segata

    Mathematical Methods in Applied Sciences   35 ( 2 )   125 - 133   2011.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/mma.1542

  • Well-posedness and standing waves for the fourth-order non-linear Schr"odinger-type equation Invited Reviewed International journal

    Jun-ichi Segata

    RIMS Kokyuroku Bessatsu   B26   81 - 92   2011.4

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  • A remark on asymptotics of solutions to Schr"odinger equation with fourth order dispersion Reviewed International journal

    Jun-ichi Segata

    Asymptotic Analysis   75 ( 1-2 )   25 - 36   2011.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3233/ASY-2011-1051

  • Well-posedness and existence of standing waves for the fourth order nonlinear Schr"odinger type equation Reviewed International journal

    Jun-ichi Segata

    Discrete and Continuous Dynamical Systems   27 ( 3 )   1093 - 1105   2010.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3934/dcds.2010.27.1093

  • Final state problem for some KdV type equation Invited Reviewed International journal

    Jun-ichi Segata

    RIMS Kokyuroku Bessatsu   B22   13 - 20   2010.4

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  • Global existence and asymptotic behavior of solutions to the fourth order nonlinear Schr"odinger type equation Reviewed International journal

    Jun-ichi Segata, Akihiro Shimomura

    Communications in Applied Analysis   11 ( 2 )   169 - 188   2007.4

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  • On asymptotic behavior of solutions to the fourth order cubic nonlinear Schr"odinger type equation Reviewed International journal

    Jun-ichi Segata

    Advanced Studies in Pure Mathematics   47   329 - 339   2007.4

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  • Asymptotics of solutions to the fourth order Schr"odinger type equation with a dissipative nonlinearity Reviewed International journal

    Jun-ichi Segata, Akihiro Shimomura

    Journal of Mathematics of Kyoto University   46 ( 2 )   439 - 456   2006.4

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  • The contraction mapping approach for the Benjamin-Ono equation with large initial data Reviewed International journal

    Naoyasu Kita, Jun-ichi Segata

    ``Nonlinear Dispersive Equations" Edited by T. Ozawa and Y. Tsutsumi, GAKUTO International Series, Mathematical Sciences and Applications   26   129 - 140   2006.4

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Well-posedness for the Boussinesq-type system related to the water wave Reviewed International journal

    Naoyasu Kita, Jun-ichi Segata

    Funkcialaj Ekvacioj   47 ( 2 )   329 - 350   2004.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1619/fesi.47.329

  • Well-posedness for the fourth-order nonlinear Schr"odinger-type equation related to the vortex filament Reviewed International journal

    Jun-ichi Segata

    Differential and Integral Equations   16 ( 7 )   841 - 864   2003.7

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Presentations

  • デルタポテンシャルをもつ非線形シュレディンガー方程式の解の長時間挙動 Invited

    瀬片 純市

    日本数学会2020年度秋季総合分科会  2020.9 

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    Event date: 2021.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:オンライン開催   Country:Japan  

    本講演では、デルタポテンシャルをもつ非線形シュレディンガー方程式の解の長時間挙動について、眞崎聡氏(大阪大)、Jason Murphy氏(ミズーリ工科大)との共同研究により得られた成果(散乱問題及びソリトンの漸近安定性)について紹介した。

  • Modified scattering for the complex valued nonlinear Klein-Gordon equation Invited International conference

    Jun-ichi Segata

    Colloquia at Department of Mathematics and Statistics, Missouri University of Science and Technology  2019.12 

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    Event date: 2019.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  • Modified scattering for the Klein-Gordon equation with the critical nonlinearity in two and three dimensions Invited International conference

    Jun-ichi Segata

    2017.8 

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    Event date: 2019.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Refinement of Strichartz estimates for Airy equation and application Invited International conference

    Jun-ichi Segata

    2016.6 

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    Event date: 2019.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Scattering problem for the generalized Korteweg‐de Vries equation Invited International conference

    2016.12 

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    Event date: 2019.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:National Cheng Kung University (Tainan)   Country:Taiwan, Province of China  

  • Scattering problem for the generalized Korteweg-de Vries equation Invited International conference

    Jun-ichi Segata

    PDE/Applied seminar at UCSB  2017.3 

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    Event date: 2019.4

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:United States  

  • Existence of a minimal non-scattering solutions to the mass-subcritical generalized Korteweg-de Vries equation Invited International conference

    Jun-ichi Segata

    2017.6 

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    Event date: 2019.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Modified scattering for the 1d cubic NLS with a repulsive delta potential Invited International conference

    Jun-ichi Segata

    The 12th bi-annual Conference on Dynamical Systems, Differential Equations and Applications  2018.7 

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    Event date: 2018.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Taiwan, Province of China  

  • Refinement of Strichartz estimates for Airy equation in non-diagonal case and application Invited International conference

    Jun-ichi Segata

    RIMS workshop Harmonic Analysis and Nonlinear Partial Differential Equations  2018.6 

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    Event date: 2018.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Modified scattering for the 1d cubic NLS with a repulsive delta potential Invited International conference

    Jun-ichi Segata

    Taiwan-Japan Workshop on Dispersion and Nonlinear Waves  2018.6 

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    Event date: 2018.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Taiwan, Province of China  

  • Modified scattering for the Klein-Gordon equation with critical nonlinearity in two and three dimensions Invited International conference

    Jun-ichi Segata

    Nonlinear PDE for Future Applications - Hyperbolic and Dispersive PDE -  2017.7 

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    Event date: 2017.7 - 2019.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Scattering problem for the generalized Korteweg-de Vries equation Invited International conference

    Jun-ichi Segata

    Colloquium at Fudan University  2016.12 

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    Event date: 2016.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  • Well-posedness for the fourth order nonlinear Schr"odinger type equation and orbital stability of standing waves Invited International conference

    Jun-ichi Segata

    Math Colloquium at National Cheng Kung University  2015.6 

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    Event date: 2015.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Taiwan, Province of China  

  • The higher order nonlinear dispersive equation related to the motion of vortex filament Invited International conference

    Jun-ichi Segata

    PDE/Applied seminar at UCSB  2014.4 

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    Event date: 2014.4

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:United States  

  • 非線形シュレディンガー方程式系の解の長時間挙動について Invited

    瀬片 純市

    神楽坂解析セミナー  2023.8 

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    Event date: 2023.8

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:東京理科大学 (東京都)   Country:Japan  

  • 非線形分散型方程式系の長距離散乱について Invited

    瀬片 純市

    大阪大学数学教室談話会  2023.6 

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    Event date: 2023.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪大学 (豊中市)   Country:Japan  

  • 非線形シュレディンガー方程式系の解の長時間挙動について Invited

    瀬片 純市

    大阪大学微分方程式セミナー  2023.6 

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    Event date: 2023.6

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:大阪大学 (豊中市)   Country:Japan  

  • Asymptotic behavior in time of solution to system of cubic nonlinear Schrodinger equations in one space dimension Invited International conference

    Jun-ichi Segata

    2023.2 

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    Event date: 2023.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 非線形シュレディンガー方程式のシステムの解の長時間挙動について Invited

    瀬片 純市

    第11回室蘭非線形解析研究会  2022.1 

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    Event date: 2022.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:オンライン講演   Country:Japan  

  • デルタポテンシャルをもつ非線形シュレディンガー方程式の解の長時間挙動 Invited

    瀬片 純市

    京都大学大学院理学研究科数学教室談話会  2021.6 

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    Event date: 2021.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:オンライン講演   Country:Japan  

  • On 1d nonlinear Schrodinger equation with an attractive delta potential Invited

    Jun-ichi Segata

    2020.2 

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    Event date: 2020.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Asymptotic behavior in time of solution to the nonlinear Schrodinger equation with higher order anisotropic dispersion Invited

    Jun-ichi Segata

    Critical exponent and nonlinear evolution equations 2020  2020.2 

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    Event date: 2020.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On 1d nonlinear Schrodinger equation with an attractive delta potential

    Jun-ichi Segata

    2020.2 

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    Event date: 2020.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Modified scattering for the complex valued nonlinear Klein-Gordon equation Invited

    Jun-ichi Segata

    Workshop on nonlinear wave equations and related topics in Kobe  2019.11 

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    Event date: 2019.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Modified scattering for the complex valued nonlinear Klein-Gordon equation Invited International conference

    Jun-ichi Segata

    Fundamental Problems in Mathematical and Theoretical Physics  2019.7 

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    Event date: 2019.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation Invited

    Jun-ichi Segata

    2019.6 

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    Event date: 2019.6

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Japan  

  • Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation Invited

    Jun-ichi Segata

    2019.5 

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    Event date: 2019.5

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Japan  

  • Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation Invited

    Jun-ichi Segata

    2019.4 

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    Event date: 2019.4

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Japan  

  • Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation Invited International conference

    Jun-ichi Segata

    2019.3 

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    Event date: 2019.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On nonlinear Schr"odinger equation with attractive delta potential in one space dimension Invited

    Jun-ichi Segata

    Nonlinear Dispersive Equations in Kumamoto  2019.1 

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    Event date: 2019.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On 1d nonlinear Schr"odinger equation with delta potential Invited International conference

    Jun-ichi Segata

    2019.1 

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    Event date: 2019.1

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On 1d nonlinear Schr"odinger equation with an attractive delta potential Invited

    Jun-ichi Segata

    2018.10 

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    Event date: 2018.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Modified scattering for the cubic nonlinear Schr"odinger equation with a repulsive delta potential in one space dimension Invited

    Jun-ichi Segata

    2018.10 

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    Event date: 2018.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Modified scattering for the cubic nonlinear Schr"odinger equation with a repulsive delta potential in one space dimension Invited

    Jun-ichi Segata

    2018.6 

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    Event date: 2018.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Refinement of Strichartz estimates for Airy equation in non-diagonal case and application Invited

    Jun-ichi Segata

    2018.5 

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    Event date: 2018.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application Invited International conference

    Jun-ichi Segata

    Critical Exponents and Nonlinear Evolution Equation 2017  2017.2 

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    Event date: 2017.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Scattering problem for the generalized Korteweg-de Vries equation Invited International conference

    Jun-ichi Segata

    2017.1 

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    Event date: 2017.1 - 2017.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 一般化Korteweg-de Vries方程式の散乱問題 Invited

    東北大学数学教室談話会  2017.1 

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    Event date: 2017.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東北大学 (仙台市)   Country:Japan  

  • Final state problem for the Klein-Gordon equation with quadratic gauge invariant nonlinearity in two dimensions Invited

    Jun-ichi Segata

    2016.12 

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    Event date: 2016.12

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Japan  

  • Modified scattering for the Klein-Gordon equation with quadratic gauge invariant nonlinearity in two dimensions Invited

    Jun-ichi Segata

    2016.12 

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    Event date: 2016.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Refinement of Strichartz estimates for Airy equation and application Invited International conference

    Jun-ichi Segata

    Nonlinear Wave and Dispersive Equations, Kyoto 2016  2016.9 

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    Event date: 2016.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Refinement of Strichartz estimates for Airy equation and application Invited International conference

    Jun-ichi Segata

    Fundamental Problems in Mathematical and Theoretical Physics  2016.7 

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    Event date: 2016.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

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Professional Memberships

  • The Mathematical Society of Japan

Committee Memberships

  • 日本数学会   地方区代議員   Domestic

    2013.3 - 2014.2   

Academic Activities

  • 実行委員 International contribution

    ( 仙台国際センター (仙台市) ) 2023.11

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    Type:Competition, symposium, etc. 

    Number of participants:200

  • Screening of academic papers

    Role(s): Peer review

    2023

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:6

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2022

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:10

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • 数学通信

    2021.3 - 2022.2

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    Type:Academic society, research group, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2021

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:7

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2020

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:9

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:1

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Kyushu Journal of Mathematics International contribution

    2019.4 - Present

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    Type:Academic society, research group, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2019

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:9

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:1

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2018

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2017

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2016

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:5

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

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Research Projects

  • 質量劣臨界非線項を持つ分散型偏微分方程式の解の大域解析

    Grant number:21H00993  2021 - 2024

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • ネットワーク上の非線形シュレディンガー方程式の解析

    Grant number:21K18588  2021 - 2023

    日本学術振興会  科学研究費助成事業  挑戦的研究(萌芽)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 準線形双曲-放物型保存則系における時空間非一様ダイ ナミクスの数学解析の新展開

    Grant number:20H00118  2020 - 2023

    日本学術振興会  科学研究費助成事業  基盤研究(A)

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • 臨界型非線形数理モデルにおける高次数理解析法の創造

    Grant number:19H05597  2019 - 2023

    日本学術振興会  科学研究費助成事業  基盤研究(S)

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • 分散性を伴う非線形偏微分方程式の解の長時間挙動の解析

    Grant number:17H02851  2017 - 2020

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 非線形分散型方程式に対する分散波, 孤立波およびそれらの相互作用の解析

    Grant number:25707004  2013 - 2016

    科学研究費助成事業  若手研究(A)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 非線形分散型方程式の分散波と孤立波の相互作用の解析

    2012 - 2013

    住友財団基礎科学研究助成

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    Authorship:Principal investigator  Grant type:Contract research

  • 非線形分散型方程式の解の長時間挙動と特異極限について

    Grant number:21740122  2009 - 2012

    科学研究費助成事業  若手研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 非線形分散型方程式の解の長時間挙動について

    Grant number:19840036  2007 - 2008

    科学研究費助成事業  若手研究(スタートアップ)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 流体と水面波を記述する非線形偏微分方程式の適切性と解の挙動について

    Grant number:16・06513  2004 - 2005

    日本学術振興会  科学研究費助成事業  特別研究員奨励費

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    Authorship:Principal investigator  Grant type:Scientific research funding

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Educational Activities

  • For education, I teach several lectures such as linear algebra, calculus and topics in analysis, and supervise a few students in their studies of mathematics.

Class subject

  • 非線形解析大意

    2023.10 - 2024.3   Second semester

  • 数学特論11

    2023.10 - 2024.3   Second semester

  • 数学演習AⅡ

    2023.10 - 2024.3   Second semester

  • 微分積分学Ⅱ

    2023.10 - 2024.3   Second semester

  • 微分積分続論Ⅰ

    2023.4 - 2023.9   First semester

  • 数学演習AⅠ

    2023.4 - 2023.9   First semester

  • 微分積分学Ⅰ

    2023.4 - 2023.9   First semester

  • 数学演習AⅡ

    2022.10 - 2023.3   Second semester

  • 微分積分学Ⅱ

    2022.10 - 2023.3   Second semester

  • 非線形解析大意

    2022.4 - 2022.9   First semester

  • 数学特論11(非線形解析)

    2022.4 - 2022.9   First semester

  • 数学演習AⅠ

    2022.4 - 2022.9   First semester

  • 微分積分学Ⅰ

    2022.4 - 2022.9   First semester

  • コアセミナーⅡ

    2021.10 - 2022.3   Second semester

  • 微分積分続論Ⅱ

    2021.10 - 2022.3   Second semester

  • 非線形解析大意

    2021.4 - 2021.9   First semester

  • 数学特論11(非線形解析)

    2021.4 - 2021.9   First semester

  • 微分積分学・同演習Ⅲ

    2021.4 - 2021.9   First semester

  • 微分積分続論Ⅱ

    2020.10 - 2021.3   Second semester

  • 微分積分学・同演習B

    2020.10 - 2021.3   Second semester

  • 非線形解析大意

    2020.4 - 2020.9   First semester

  • 数学特論11(非線形解析)

    2020.4 - 2020.9   First semester

  • 微分積分学・同演習A

    2020.4 - 2020.9   First semester

  • 複素関数論

    2019.10 - 2020.3   Second semester

  • 微分積分学・同演習B

    2019.10 - 2020.3   Second semester

  • 微分積分学

    2019.10 - 2020.3   Second semester

  • 微分積分学・同演習A

    2019.4 - 2019.9   First semester

  • 線形代数

    2019.4 - 2019.9   First semester

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FD Participation

  • 2022.4   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2021.7   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2021.3   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2023  大阪大学大学院理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:6月

  • 2021  京都大学大学院理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:6月

Acceptance of Foreign Researchers, etc.

  • Department of Mathematical Sciences, Faculty of Applied Sciences, Wayamba University of Sri Lanka

    Acceptance period: 2022.10 - 2023.4   (Period):1 month or more

    Nationality:Sri Lanka

    Business entity:Japan Society for the Promotion of Science

Travel Abroad

  • 2015.1 - 2015.3

    Staying countory name 1:France   Staying institution name 1:Universit'e de Paris-Sud, Orsay

  • 2014.3 - 2014.10

    Staying countory name 1:United States   Staying institution name 1:University of California, Santa Barbara

  • 2011.5 - 2011.9

    Staying countory name 1:France   Staying institution name 1:University of Cergy-Pontoise