Kita Naoyasu 北直泰

… Alternative Names

KITA Naoyasu 北直泰

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Researcher Number	70336056
Other IDs
Affiliation (Current)	2025: 熊本大学, 大学院先端科学研究部(工), 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 熊本大学, 大学院先端科学研究部(工), 教授 2015: 熊本大学, 自然科学研究科, 教授 2007 – 2014: 宮崎大学, 教育文化学部, 准教授 2009: 宮崎大学, 工学部, 准教授 2004 – 2006: 宮崎大学, 教育文化学部, 助教授
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis
Keywords	Principal Investigator 解の漸近挙動 / 解の減衰評価 / 解の爆発 / 非線形シュレディンガー方程式 / 非線型シュレーディンガー方程式 / 漸近挙動 / 非線形偏微分方程式 / 一様ノルムの減衰 / 2乗ノルムの減衰 / 解の減衰 … More / エリオット波動の原理 / 外貨の変動 / 爆発解 / 偏微分方程式 / Benjamin-Ono方程式 / 非線形シュレデインガー方程式 / 増幅型非線形シュレディンガー方程式 / 解の減衰オーダー / 消散型非線形シュレディンガー方程式 / 非線型分散型方程式 / 非線形増幅項 / 非線形消散項 / 解の非適切性 / 非線形Schrodinger方程式 / 解の適切性 / シュレディンガー方程式 / 非線形現象 / 時間大域解 / δ-関数初期データ / 非線形シュレーデンガー / 非線形シュレーディンガー方程式 / 非線形Schroedinger方程式 … More Except Principal Investigator 解の漸近挙動 / 適切性 / 非線形分散型方程式 / 時空間評価 / 解の時空間評価 / 非線形シュレディンガー方程式 / 非線形 Schrodinger 方程式 / 非線形偏微分方程式 / 平滑化効果 / 分散型方程式 / 境界値問題 / Maxwell-Schrodinger 方程式 / Strichartz 型評価 / Benjamin-Ono 方程式 / 臨界指数 / 非線形Schrodinger方程式 / Maxwell 方程式 / 連立系 / 解の時間大域的挙動 / Schrodinger 方程式 / 偏微分方程式の適切性 / Strichartz 評価 / 波動方程式 / 非線形偏異聞方程式 / 走化性方程式系 / 自己相似解 / 後方自己相似解 / Type I 爆発 / 無限時刻爆発解 / Type II爆発 / Type I爆発 / 爆発解 / 走化性方程式 / 関数方程式 Less

Research on the behavior of solutions to nonlinear Schrodinger equations of non-conserved modelsPrincipal Investigator
- Principal Investigator
  
  北直泰
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kumamoto University
非線形分散型方程式の時空間評価と適切性，解の挙動に関する研究
- Principal Investigator
  
  和田健志
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shimane University
Spacetime estimates for dispersive equations and applications to nonlinear prooblems
- Principal Investigator
  
  Wada Takeshi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shimane University
Research for decay and blow-up of solutions to nonlinear Schrodinger equationsPrincipal Investigator
- Principal Investigator
  
  Kita Naoyasu
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kumamoto University
Well-poshness and asymptotic behaviour of solutions to nonlinear partial differential equations describing interaction between several fields
- Principal Investigator
  
  Wada Takeshi
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Shimane University
  Kumamoto University
On the behavior of solutions to some nonlinear Schrodinger equationsPrincipal Investigator
- Principal Investigator
  
  Kita Naoyasu
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Kumamoto University
  University of Miyazaki
Singularity analysis on the nonlinear Schrodinger equationsPrincipal Investigator
- Principal Investigator
  
  KITA Naoyasu
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Miyazaki
On the Study of behavior of blowup solutions to a chemotaxis system in high dimensional domains
- Principal Investigator
  
  SENBA Takasi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu Institute of Technology
  University of Miyazaki
非線形シュレーディンガー方程式の初期値問題における解の漸近挙動Principal Investigator
- Principal Investigator
  
  北直泰
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Miyazaki

[Book] 微分積分学入門2023
- Author(s)
  辻川亨, 北直泰
- Total Pages
  270
- Publisher
  学術図書出版社
- ISBN
  9784780611243
- Data Source
  KAKENHI-PROJECT-17K05305
[Book] 微分積分学入門2022
- Author(s)
  辻川亨, 北直泰
- Total Pages
  264
- Publisher
  学術図書出版社
- ISBN
  9784780609035
- Data Source
  KAKENHI-PROJECT-17K05305
[Book] 微分積分学入門2022
- Author(s)
  辻川亨, 北直泰
- Total Pages
  264
- Publisher
  学術図書出版社
- Data Source
  KAKENHI-PROJECT-18K03370
[Book] 基礎と応用　微分方程式入門2019
- Author(s)
  北直泰
- Total Pages
  148
- Publisher
  学術図書出版社
- ISBN
  9784780606621
- Data Source
  KAKENHI-PROJECT-17K05305
[Book] 基礎と応用　微分方程式入門2019
- Author(s)
  北　直泰、熊本大学工学部機械数理工学科
- Total Pages
  160
- Publisher
  学術図書出版社
- ISBN
  9784780606621
- Data Source
  KAKENHI-PROJECT-18K03370
[Book] 微分方程式2018
- Author(s)
  北直泰
- Total Pages
  144
- Publisher
  学術図書出版社
- ISBN
  9784780606539
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] Optimal L∞-decay rate of solutions to a dissipative nonlinear Schrodinger equation system2024
- Author(s)
  N. Kita, Y. Nakamura, Y. Sagawa
- Journal Title
  
  Proceedings of the 14th International ISAAC
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03183
[Journal Article] L2-decay of solutions to dissipative nonlinear Schrodinger equation with large initial data2024
- Author(s)
  Jadamba Gerelmaa, Naoyasu Kita, Takuya Sato
- Journal Title
  
  Journal of Mathematical Sciences
  
  Volume: 279 Pages: 814-823
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Journal Article] L2-decay of solutions to dissipative nonlinear Schrodinger equation with large initial data2024
- Author(s)
  J. Gerelmaa, N. Kita, T. Sato
- Journal Title
  
  Journal of Mathematical Sciences
  
  Volume: 279 Pages: 814-823
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Journal Article] Optimal L∞-decay rate of solutions to a dissipative nonlinear Schrodinger equation system2024
- Author(s)
  Naoyasu Kita, Yoshihisa Nakamura, Yuji Sagawa
- Journal Title
  
  Proceedings of the 14th International ISAAC
  
  Volume: accepted
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03168
[Journal Article] Optimal L^2-decay of solutions to the dissipative nonlinear Schrodinger equation in higher space dimensions2023
- Author(s)
  N.Kita, T.Sato
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 354 Pages: 49-66
- DOI
  10.1016/j.jde.2023.01.001
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05305, KAKENHI-PROJECT-18K03370
[Journal Article] Polynomial deceleration for a system of cubic nonlinear Schrodinger equations in one space dimension2023
- Author(s)
  N.Kita, S.Masaki, J.Segata, K.Uriya
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 230 Pages: 113216-113216
- DOI
  10.1016/j.na.2023.113216
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05305, KAKENHI-PROJECT-18K03370, KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-21K18588, KAKENHI-PROJECT-19H05597
[Journal Article] Optimal $$L^2$$-decay of solutions to a nonlinear Schrodinger equation with sub-critical dissipative nonlinearity2022
- Author(s)
  Kita Naoyasu、Sato Takuya
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 29 Issue: 4 Pages: 41-41
- DOI
  10.1007/s00030-022-00772-5
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13937, KAKENHI-PROJECT-17K05305, KAKENHI-PROJECT-18K03370
[Journal Article] Optimal L^2-decay of solutions to a cubic dissipative nonlinear Schrodinger equation2022
- Author(s)
  Naoyasu Kita, Takuya Sato
- Journal Title
  
  Asymptotic Analysis
  
  Volume: accepted
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] Optimal L^2-decay of solutions to a cubic dissipative nonlinear Schrodinger equation2022
- Author(s)
  Kita, Naoyasu; Sato, Takuya
- Journal Title
  
  Asymptotic Analysis
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Sharp asymptotic behavior of solutions to Benjamin-Ono type equations---short range case2021
- Author(s)
  Kita, Naoyasu; Wada, Takeshi
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 497 Issue: 2 Pages: 124879-124879
- DOI
  10.1016/j.jmaa.2020.124879
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Sharp asymptotic behavior of solutions to Benjamin-Ono type equations -- short range case2021
- Author(s)
  Naoyasu Kita, Takeshi Wada
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 297 Pages: 1-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] Optimal decay rate of solutions to 1D Schrodinger Equation with cubic dissipative nonlinearity2019
- Author(s)
  N.Kita
- Journal Title
  
  Journal of Applied Science and Engineering A
  
  Volume: 1 Pages: 15-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] Large time behavior of small solutions to multi-component nonlinear Schrodinger equations related with spinor Bose-Einstein condensate2019
- Author(s)
  Kita, Naoyasu; Nakamura, Yoshihisa
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Decay estimate and asymptotic behavior of small solutions to Schrodinger equations with subcritical nonlinearity2019
- Author(s)
  Kita, Naoyasu; Nakamura, Yoshihisa
- Journal Title
  
  Advanced Study of Pure Mathematics
  
  Volume: 81
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Large time behavior of small solutions to multi-component nonlinear Schrödinger equations related with spinor Bose-Einstein condensate2019
- Author(s)
  N.Kita, Y.Nakamura
- Journal Title
  
  Linear and Nonlinear Analysis (Yokohama Publ. Special Issue)
  
  Volume: 5 Pages: 73-85
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] Optimal decay rate of solutions to 1D Schrodinger Equation with cubic dissipative nonlinearity2019
- Author(s)
  Kita, Naoyasu
- Journal Title
  
  Journal of Applied Science and Engineering A
  
  Volume: 1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Large time behavior of small solutions to multi-component nonlinear Schrodinger equations related with spinor Bose-Einstein condensate2019
- Author(s)
  Kita, Naoyasu; Nakamura, Yoshihisa
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Large time behavior of small solutions to multi-component nonlinear Schr\"odinger equations related with spinor Bose-Einstein condensate2019
- Author(s)
  Naoyasu Kita, Yoshihisa Nakamura
- Journal Title
  
  Linear and Nonlinear Analysis (Yokohama Publ. Special Issue)
  
  Volume: accepted
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] Decay estimate and asymptotic behavior of small solutions to Schrodinger equations with subcritical dissipative nonlinearity2018
- Author(s)
  Naoyasu Kita, Yoshihisa Nakamura
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: xx Pages: 120-137
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] The Least Number of Intersection Points in Currency Fluctuation and Well- Approximating Line Graph under Constraints of the Elliott Wave Principle2018
- Author(s)
  Kita, Naoyasu; Matsukuma, Taisei
- Journal Title
  
  SCIENCE NATURE
  
  Volume: 1 Issue: 1 Pages: 033-041
- DOI
  10.30598/snvol1iss1pp033-041year2018
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] The least number of intersection points in currency fluctuation and well-approximating line graph under constraints of the Elliott wave principle2018
- Author(s)
  Naoyasu Kita, Taisei Matsukuma
- Journal Title
  
  Science Nature
  
  Volume: 1
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05305
[Journal Article] Decay estimate and asymptotic behavior ofsmall solutions to Schrodinger equations with subcritical dissipative nonlinearity2017
- Author(s)
  N. Kita, Y. Nakamura
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Nonlinear Schrodinger equations with δ-functions as initial data2014
- Author(s)
  N. Kita
- Journal Title
  
  Sugaku Expositions
  
  Volume: 27 Pages: 223-241
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Nonlinear Schrödinger equations with δ-functions as initial data2014
- Author(s)
  Naoyasu Kita
- Journal Title
  
  Sugaku Expositions
  
  Volume: 27 Pages: 223-241
- NAID
  130004558917
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400178
[Journal Article] On the solutions to some nonlinear Schrodinger equations with energy dissipation or amplification2014
- Author(s)
  Naoyasu Kita
- Journal Title
  
  Asymptotic Analysis
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400178
[Journal Article] Nonlinear Schroedinger equation with δ functions as initial data2013
- Author(s)
  Naoyasu Kita
- Journal Title
  
  Sugaku repository in American Mathematical Society
  
  Volume: 62 Pages: 329-345
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] 非線形シュレディンガー方程式の解の挙動について2010
- Author(s)
  北直泰
- Journal Title
  
  第31回発展方程式若手セミナー報告集
  
  Pages: 1-27
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] 〓関数を初期データにもつ非線形Schrodinger方程式について2010
- Author(s)
  北直泰
- Journal Title
  
  数学
  
  Volume: 第62巻第3号 Pages: 329-345
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] δ関数を初期データに持つ非線形Schrodinger方程式について2010
- Author(s)
  北直泰
- Journal Title
  
  数学(日本数学会)
  
  Volume: 62 Pages: 113-129
- NAID
  10029848847
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] δ関数を初期データに持つ非線形Schrodinger 方程式について2010
- Author(s)
  北直泰
- Journal Title
  
  数学 62, no.3
  
  Pages: 329-345
- NAID
  10029848847
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] δ関数を初期データに持つ非線形 Schrodinger 方程式について2010
- Author(s)
  北直泰
- Journal Title
  
  日本数学会『数学』 62
  
  Pages: 113-129
- NAID
  10029848847
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] Large time behavior of solutions to Schrodinger equations with a dissipative nonlinearity for arbitrarily large initial data.2009
- Author(s)
  N.Kita, A.Shimomura
- Journal Title
  
  J.Math.Soc.Japan 61, no.1
  
  Pages: 39-64
- NAID
  10024905488
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] Large time behavior of solutions to Schodinger equations with a dissipative nonlinearity for arbitrarily large initial data2009
- Author(s)
  N. Kita, A. Shimomura
- Journal Title
  
  J. Math. Soc. Japan 61
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] Large time behavior of solutions to Schrodinger equations with a dissipative non- linearity for arbitrarily large initial data2009
- Author(s)
  N.Kita, A.Shimomura
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 61 Pages: 39-64
- NAID
  10024905488
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] The contraction mapping approach for tha Benjamin-Ono equiation with large initial data2006
- Author(s)
  N.Kita, J.Segata
- Journal Title
  
  Nonlinear Dinpersive Equations (GAKUTO International Series) Vol 26
  
  Pages: 129-140
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] Time local well-posedness for the Benjamin-Ono equation with large initial data2006
- Author(s)
  N.Kita, J.Segata
- Journal Title
  
  Publ.Res.Inst.Math.Sci. Vol 42
  
  Pages: 143-171
- NAID
  110004020850
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] Time local well-posedness for the Benjamin-Ono equation with large initial data2006
- Author(s)
  N.kita, J.Segata
- Journal Title
  
  Publications of RIMS 42・1(掲載予定)
- NAID
  110004020850
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] Mode generating property of solutions to the nonlinear Schroedinger equations in one space dimension2006
- Author(s)
  N.Kita
- Journal Title
  
  Nonlinear Dinpersive Equations (GAKUTO International Series) Vol 26
  
  Pages: 111-128
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] Sharp Asymptotic behavior of solutions to Nonlinear Schrodinger Equations with repulsive Instractions2005
- Author(s)
  Naoyasu Kita, Tohru Ozawa
- Journal Title
  
  Communications in Contemporary Mathematics Vol7・No2(To appear)
  
  Pages: 1-10
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] Mode generating effect of the solutions to nonlinear Schrodinger equating2005
- Author(s)
  Naoyasu Kita
- Journal Title
  
  数理解析研究所講究録「流体と気体の数学解析」 1425
  
  Pages: 113-121
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] On the solution to nonlinear Schrodinger equation with superposed δ-function as initial data2004
- Author(s)
  北直泰
- Journal Title
  
  数理解析研究所講究録非線形波動および分散型方程式に関する研究 1355
  
  Pages: 24-32
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] Well-Posedness for the Boussinesq-Type System Related to the Water Wave2004
- Author(s)
  Naoyasu Kita, Jun-ich Segata
- Journal Title
  
  Funkcialaj Ekvacioj 47
  
  Pages: 329-350
- NAID
  130000141165
- Data Source
  KAKENHI-PROJECT-16740079
[Journal Article] Nonlinear Schrodinger equation with δ-functions as initial data
- Author(s)
  Naoyasu Kita
- Journal Title
  
  Sugaku repositry
  
  Volume: (To appear)
- Data Source
  KAKENHI-PROJECT-20540181
[Journal Article] Nonlinear Schrodinger equa- tion with 〓-functions in initial data
- Author(s)
  N.Kita
- Journal Title
  
  Sugaku repository in AMS
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] 非線型消散効果と非線形増幅効果をもつシュレディンガー方程式の解の挙動I, II2024
- Author(s)
  北直泰
- Organizer
  第7回 PDE Workshop in Miyazaki
- Invited
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] 非線型消散効果と非線形増幅効果をもつシュレディンガー方程式の解の挙動I, II2024
- Author(s)
  北直泰
- Organizer
  第7回 PDE Workshop in Miyazaki
- Invited
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Decay estimate of solutions to dissipative nonlinear Schrodinger equations2024
- Author(s)
  Naoyasu Kita
- Organizer
  Japan-Mongolia Joint Workshop
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] 消散型非線形シュレーディンガー方程式の解の減衰評価について2024
- Author(s)
  北直泰
- Organizer
  Saga Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Decay estimate of solutions to dissipative nonlinear Schrodinger equations2024
- Author(s)
  N. Kita
- Organizer
  Japan-Mongolia Joint Workshop
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] 消散型非線形シュレーディンガー方程式の解の減衰評価について2024
- Author(s)
  北直泰
- Organizer
  Saga Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] 連立消散型非線形シュレディンガー方程式の大きな初期データに対する解の減衰評価と漸近挙動2023
- Author(s)
  北直泰
- Organizer
  RIMS共同研究グループ型A 「線形及び非線形分散型方程式に関する近年の進展」
- Invited
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Decay of solutions to the dissipative nonlinear Schrodinger equation with large initial data2023
- Author(s)
  N. Kita
- Organizer
  INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND APPLIED MATHEMATICS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Decay estimate and asymptotic behavior of solutions to the system of Schrodinger equations with cubic dissipative nonlinearity2023
- Author(s)
  N. Kita
- Organizer
  International Conference on Applied Science and Engineering 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Asymptotic behavior of solutions to a system of nonlinear Schrodinger equations with cubic dissipative nonlinearity2023
- Author(s)
  Naoyasu Kita
- Organizer
  14th ISAAC Congress (2023)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] Large time behavior of solutions to a system of dissipative nonlinear Schrodinger equations2023
- Author(s)
  N. Kita
- Organizer
  第 48 回偏微分方程式論札幌シンポジウム
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] L2-decay estimate of solutions to repulsive-dissipative nonlinear Schrodinger equations2023
- Author(s)
  N. Kita
- Organizer
  The 20th Linear and Nonlinear Waves
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] 複素係数をもつ非線形シュレーディンガー方程式の解の挙動2023
- Author(s)
  北直泰
- Organizer
  日本数学会 2023年度年会・函数方程式論分科会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] 消散型非線形シュレーディンガー方程式系の解の減衰評価と漸近挙動について2023
- Author(s)
  北直泰
- Organizer
  第115回岐阜数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] 消散型非線形シュレーディンガー方程式系の解の減衰評価と漸近挙動について2023
- Author(s)
  北直泰
- Organizer
  第115回岐阜数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Large time behavior of solutions to a system of dissipative nonlinear Schrodinger equations2023
- Author(s)
  Naoyasu Kita
- Organizer
  第 48 回偏微分方程式論札幌シンポジウム
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] Decay estimate and asymptotic behavior of solutions to the system of Schrodinger equations with cubic dissipative nonlinearity2023
- Author(s)
  Naoyasu Kita
- Organizer
  International Conference on Applied Science and Engineering 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] 連立消散型非線形シュレディンガー方程式の大きな初期データに対する解の減衰評価と漸近挙動2023
- Author(s)
  北直泰
- Organizer
  RIMS共同研究グループ型A 「線形及び非線形分散型方程式に関する近年の進展」
- Invited
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] Asymptotic behavior of solutions to a system of nonlinear Schrodinger equations with cubic dissipative nonlinearity2023
- Author(s)
  N. Kita
- Organizer
  14th ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] L2-decay estimate of solutions to repulsive-dissipative nonlinear Schroedinger equations2023
- Author(s)
  Naoyasu Kita
- Organizer
  The 20th Linear and Nonlinear Waves
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] 複素係数をもつ非線形シュレーディンガー方程式の解の挙動2023
- Author(s)
  北直泰
- Organizer
  日本数学会 2023年度年会・函数方程式論分科会 (特別講演)
- Invited
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] 非線形消散型シュレディンガー方程式の指定されたL2減衰オーダーをもつ解の存在2023
- Author(s)
  北直泰
- Organizer
  反応拡散方程式と非線形分散型方程式の解の挙動
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] L2-decay estimate of solutions to dissipative nonlinear Schrodinger equations without strong dissipative condition2023
- Author(s)
  Naoyasu Kita
- Organizer
  Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] Decay of solutions to the dissipative nonlinear Schrodinger equation with large initial data2023
- Author(s)
  Naoyasu Kita
- Organizer
  INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND APPLIED MATHEMATICS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] 強消散条件を弱めた非線形消散型シュレーディンガー方程式の解の減衰について2023
- Author(s)
  北直泰
- Organizer
  現象と数理北九州小研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] 強消散条件を弱めた非線形消散型シュレーディンガー方程式の解の減衰について2023
- Author(s)
  北直泰
- Organizer
  現象と数理北九州小研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03168
[Presentation] L2-decay estimate of solutions to dissipative nonlinear Schrodinger equations without strong dissipative condition2023
- Author(s)
  N. Kita
- Organizer
  Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] L^2-decay rate of solutions to dissipative nonlinear Schrodinger equations2022
- Author(s)
  N. Kita
- Organizer
  Mathematical Analysis of Nonlinear Dispersive and Wave Equations
- Invited
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] L^2-decay rate of solutions to dissipative nonlinear Schrodinger equations2022
- Author(s)
  N. Kita
- Organizer
  Mathematical Analysis of Nonlinear Dispersive and Wave Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Existence of blowing-up solution to some Schrödinger equations including nonlinear amplification with small initial data2021
- Author(s)
  Naoyasu Kita
- Organizer
  International Conference on Applied Science and Engineering (on line)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Existence of blowing-up solution to some Schrodinger equations including nonlinear amplification with small initial data2021
- Author(s)
  Kita, Naoyasu
- Organizer
  International Conference on Applied Science and Engineering
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Applied Mathematics and Not Yet Applied Mathematics2020
- Author(s)
  Naoyasu Kita
- Organizer
  International Conference of Mathematics and Mathematics Education
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Optimal decay rate of global solutions to the Schrodinger equation with cubic dissipative nonlinearity2019
- Author(s)
  N.Kita
- Organizer
  International seminar "Differential-Algebraic and Integro-Algebraic Systems of Equations : Numerical Methods and Applications to Control Problems"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Optimal decay rate of global solutions to the Schrodinger equation with cubic dissipative nonlinearity2019
- Author(s)
  Kita, Naoyasu
- Organizer
  International seminar "Differential-Algebraic and Integro-Algebraic Systems of Equations : Numerical Methods and Applications to Control Problems"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Nonlinear Schrodinger equation with delta-functions as initial data2019
- Author(s)
  N.Kita
- Organizer
  Japan-Mongolia Joint Workshop on Pure and Applied Mathematics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Optimal decay rate of solutions to some dissipative nonlinear Schr\"odinger equations2019
- Author(s)
  Naoyasu Kita
- Organizer
  Mathematics of Schr\"odinger Equations and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Decay rate of global solutions to the Schrodinger equation with cubic dissipative nonlinearity2019
- Author(s)
  N.Kita
- Organizer
  the First International Conference of Applied Sciences and Engineering
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Nonlinear Schrodinger equation with delta-functions as initial data (including the case of triple delta-functions)2019
- Author(s)
  Kita, Naoyasu
- Organizer
  2019工学ワークショップ
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Decay rate of global solutions to the Schrodinger equation with cubic dissipative nonlinearity2019
- Author(s)
  Kita, Naoyasu
- Organizer
  the First International Conference of Applied Sciences and Engineering
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Nonlinear Schrodinger equation with delta-functions as initial data (including the case of triple delta-functions)2019
- Author(s)
  N.Kita
- Organizer
  2019 Engineering Workshop
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Nonlinear Schrodinger equation with delta-functions as initial data2019
- Author(s)
  Kita, Naoyasu
- Organizer
  Japan-Mongolia Joint Workshop on Pure and Applied Mathematics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Reduction of nonlinear Schr\"odinger equations with singular initial data into ODEs2018
- Author(s)
  Naoyasu Kita
- Organizer
  RIMS Workshop : Qualitative Theory on ODEs and its Applications to Mathematica Modeling
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] The Elliott wave in foreigh currency fluctuation and its detection2018
- Author(s)
  Naoyasu Kita
- Organizer
  The 4th International Conference on Basic Sciences 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Reduction of nonlinear Schrodinger equations with singular initial data into ODEs2018
- Author(s)
  Kita, Naoyasu
- Organizer
  Qualitative Theory on ODEs and their applications to Mathematical Modeling
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Optimal decay of solutions to dissipative nonlinear Schr\"odinger equations2018
- Author(s)
  Naoyasu Kita
- Organizer
  Seminar on PDE with Dissipative Structure 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Nonlinear Schrodinger equation in optical fiber engineering2017
- Author(s)
  Naoyasu Kita
- Organizer
  CIMPA-2017 in Mongolia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05305
[Presentation] Existence of blowing-up solutions to some Schrodinger equations with nonlinear amplification2016
- Author(s)
  北直泰
- Organizer
  The 22nd Machikaneyama Seminar on PDEs
- Place of Presentation
  大阪大学
- Year and Date
  2016-02-18
- Invited
- Data Source
  KAKENHI-PROJECT-25400178
[Presentation] On the nonlinear Schrodinger equation arising in the optical fiber engineering2015
- Author(s)
  N. Kita
- Organizer
  2015 Engineering Workshop（韓国亜州大学・中国山東大学・熊本大学　三大学ワークショップ）
- Place of Presentation
  熊本大学
- Year and Date
  2015-11-13
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] 行列値非線形シュレディンガー方程式の解の漸近挙動2012
- Author(s)
  北直線、中村能久
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] Blowing-up solution to the nonlinear Schrodinger equation with complex coefficient2012
- Author(s)
  N. Kita
- Organizer
  Nonlinear Dispersive Equations and Fluid Machanics
- Year and Date
  2012-12-12
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] 行列型非線形シュレディンガー方程式の解の漸近挙動について2012
- Author(s)
  中村能久、北直泰
- Organizer
  日本数学会
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] 劣臨界指数の非線形消散項を伴うシュレディンガー方程式の解の漸近挙動2008
- Author(s)
  北直泰, 下村明洋
- Organizer
  日本数学会2008年度秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] Blowing-up solution to the nonlinear Schrodinger equation with complex coefficient2008
- Author(s)
  N.Kita
- Organizer
  Dynamical Systems, Differential Equations and Applications
- Year and Date
  2008-05-20
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] 劣臨界指数の非線形消散項を伴うシュレーディンガー方程式の解の漸近挙動2008
- Author(s)
  北直泰, 下村明洋
- Organizer
  日本数学会秋季大会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] Nonlinear Schrodinger equation with complex nonlinear coefficient2008
- Author(s)
  N.Kita
- Organizer
  the 7^<th> AIMS International Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  University of Texas at Arlington, USA
- Data Source
  KAKENHI-PROJECT-20540181
[Presentation] 劣臨界指数の非線形消散項を伴うシュレディンガー方程式の解の漸近挙動2008
- Author(s)
  北直泰、下村明洋
- Organizer
  日本数学会
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540181

1. Wada Takeshi (70294139)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
2. 中村誠 (70312634)

# of Collaborated Projects: 3 results

# of Collaborated Products: 5 results
3. SENBA Takasi (30196985)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. TSUJIKAWA Toru (10258288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. YAZAKI Shigetoshi (00323874)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. NAITO Yuki (10231458)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 佐藤拓也

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Kita Naoyasu 北 直泰

KITA Naoyasu 北 直泰

Research Projects

Research Products

Co-Researchers

Research on the behavior of solutions to nonlinear Schrodinger equations of non-conserved modelsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

非線形分散型方程式の時空間評価と適切性，解の挙動に関する研究

Principal Investigator

Project Period (FY)

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Review Section

Research Institution

Spacetime estimates for dispersive equations and applications to nonlinear prooblems

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research for decay and blow-up of solutions to nonlinear Schrodinger equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Well-poshness and asymptotic behaviour of solutions to nonlinear partial differential equations describing interaction between several fields

Principal Investigator

Project Period (FY)

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Research Field

Research Institution

On the behavior of solutions to some nonlinear Schrodinger equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

Singularity analysis on the nonlinear Schrodinger equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On the Study of behavior of blowup solutions to a chemotaxis system in high dimensional domains

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

非線形シュレーディンガー方程式の初期値問題における解の漸近挙動Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 微分積分学入門2023

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Book] 微分積分学入門2022

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Book] 微分積分学入門2022

Author(s)

Total Pages

Publisher

Data Source

[Book] 基礎と応用 微分方程式入門2019

Author(s)

Total Pages

Publisher

Kita Naoyasu 北直泰

KITA Naoyasu 北直泰

[Book] 基礎と応用　微分方程式入門2019

[Book] 基礎と応用　微分方程式入門2019