Kikuchi Hiroaki 菊池弘明

… Alternative Names

KIKUCHI Hiroaki 菊池弘明

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Researcher Number	00612277
Other IDs
Affiliation (Current)	2025: 津田塾大学, 学芸学部, 教授
Affiliation (based on the past Project Information) *help	2025: 津田塾大学, 学芸学部, 教授 2020 – 2023: 津田塾大学, 学芸学部, 教授 2015 – 2019: 津田塾大学, 学芸学部, 准教授 2014 – 2015: 津田塾大学, 学芸学部, 講師 2012: 津田塾大学, 学芸学部, 講師 2011: 東京電機大学, 情報環境学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis Except Principal Investigator Basic analysis
Keywords	Principal Investigator 基底状態 / 非線形シュレディンガー方程式 / 散乱 / 爆発 / 質量臨界 / エネルギー臨界 / 一意性 / モース指数 / 特異解 / 非線形楕円型方程式 … More / 定在波 / 非退化性 / 軌道安定性 / 変分法 / 分岐 / 安定性 / ソボレフ臨界・超臨界 / 線ソリトン / 分岐解 / 臨界振動数 / one-pass theorem / Threshold solution / 正値解 / 二重べきの非線形楕円型方程式 / 分類 / 閾値解 / 関数解析学 / リュウビル・ゲルファント問題 / ソボレフ超臨界 / レゾルベント展開 / ソボレフ臨界 / 最小化問題 / 非等方性シュレディンガー方程式 / 有限時間爆発 / 基底状態値 / 非一意性 / 特異定常解 / 指数型非線形項 / 非存在 / ソボレフ臨界指数 / 折れ曲がり / リウビル・ゲルファント問題 / 一般化リュウビル・ゲルファント問題 / ビリアル恒等式 / 大域挙動 / 一般化リュウビル・ゲルファンド方程式 / 爆発解 / 散乱解 / ポテンシャルの井戸 / 励起状態 / 定在波解 / シュレディンガー方程式 … More Except Principal Investigator 確率解析 / シュレーディンガー方程式 / 非線形光学 / 超流動 / オイラー方程式 / 重対数法則 / 爆発解 / 非線形シュレーディンガー方程式 / 散逸的弱解 / 非圧縮性オイラー方程式 / 乱流 / 確率微分方程式 / 非線形偏微分方程式 Less

ソボレフ臨界の非線形シュレディンガー方程式の解析Principal Investigator
- Principal Investigator
  
  菊池弘明
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tsuda University
Study for nonlinear partial differential equation with Sobolev critical/supercritical nonlinearityPrincipal Investigator
- Principal Investigator
  
  Kikuchi Hiroaki
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tsuda University
Analysis of nonlinear partial differential equations with Sobolev supercritical exponentPrincipal Investigator
- Principal Investigator
  
  Kikuchi Hiroaki
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tsuda University
Analysis of standing waves for nonlinear Schroedinger equations with harmonic potentialPrincipal Investigator
- Principal Investigator
  
  Hiroaki Kikuchi
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tsuda College
Stability analysis of standing waves for nonlinear Schrodinger equationsPrincipal Investigator
- Principal Investigator
  
  KIKUCHI Hiroaki
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Basic analysis
- Research Institution
  Tsuda College
  Tokyo Denki University
Stochastic Processes and Statistical Phenomena behind Partial Differential Equaitons
- Principal Investigator
  
  NAWA Hayato
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Meiji University
  Osaka University

All 2023 2022 2021 2020 2019 2018 2017 2016 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Pitchfork Bifurcation at Line Solitons for Nonlinear Schrodinger Equations on the Product Space R times T2023
- Author(s)
  赤堀公史, Yakine Bahri, Slim Ibrahim, 菊池弘明
- Journal Title
  
  Annales Henri Poincar´e
  
  Volume: - Issue: 7 Pages: 1-31
- DOI
  10.1007/s00023-023-01370-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03697, KAKENHI-PROJECT-20K03706
[Journal Article] Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrodinger equation at low frequencies2023
- Author(s)
  Hamano Masaru、Kikuchi Hiroaki、Watanabe Minami
- Journal Title
  
  Dynamics of Partial Differential Equations
  
  Volume: 20 Issue: 4 Pages: 263-297
- DOI
  10.4310/dpde.2023.v20.n4.a1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22KJ2907, KAKENHI-PROJECT-20K03706
[Journal Article] Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations2022
- Author(s)
  Akahori Takafumi、Ibrahim Slim、Kikuchi Hiroaki、Nawa Hayato
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 334 Pages: 25-86
- DOI
  10.1016/j.jde.2022.06.016
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706, KAKENHI-PROJECT-17H02859
[Journal Article] Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies2021
- Author(s)
  Akahori Takafumi、Ibrahim Slim、Kikuchi Hiroaki、Hayato Nawa
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 272 Issue: 1331
- DOI
  10.1090/memo/1331
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706, KAKENHI-PROJECT-17H02859
[Journal Article] Transverse Stability of Line Soliton and Characterization of Ground State for Wave Guide Schr?dinger Equations2021
- Author(s)
  Bahri Yakine、Ibrahim Slim、Kikuchi Hiroaki
- Journal Title
  
  Journal of Dynamics and Differential Equations
  
  Volume: 33 Issue: 3 Pages: 1297-1339
- DOI
  10.1007/s10884-020-09937-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706
[Journal Article] Remarks on solitary waves and Cauchy problem for Half-wave-Schrodinger equations2020
- Author(s)
  Bahri Yakine、Ibrahim Slim、Kikuchi Hiroaki
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: 1 Issue: 05 Pages: 1-31
- DOI
  10.1142/s0219199720500583
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03706
[Journal Article] Existence of a ground state and blowup problem for a class of nonlinear Schrodinger equations involving mass and energy critical exponents2020
- Author(s)
  Kikuchi Hiroaki、Watanabe Minami
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 27 Issue: 6 Pages: 1-32
- DOI
  10.1007/s00030-020-00660-w
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03706
[Journal Article] Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies2019
- Author(s)
  Takafumi Akahori; Slim Ibrahim; Hiroaki Kikuchi; Hayato Nawa
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14223
[Journal Article] Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies2019
- Author(s)
  Akahori T., Ibrahim S., Ikoma N., Kikuchi H. and Nawa H.
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 58 Issue: 4 Pages: 1-32
- DOI
  10.1007/s00526-019-1556-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02851, KAKENHI-PROJECT-17K14223, KAKENHI-PROJECT-17H02855, KAKENHI-PROJECT-17H02859
[Journal Article] Virial functional and dynamics for nonlinear Schr?dinger equations of local interactions2018
- Author(s)
  Akahori Takafumi、Kikuchi Hiroaki、Yamada Takeshi
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 25 Issue: 1 Pages: 1-27
- DOI
  10.1007/s00030-018-0497-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14223
[Journal Article] Bifurcation diagram of solutions to elliptic equation with exponential nonlinearity in higher dimensions2017
- Author(s)
  Hiroaki Kikuchi
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800074
[Journal Article] A bifurcation diagram of solutions to an elliptic equation with exponential nonlinearity in higher dimensions2017
- Author(s)
  Kikuchi Hiroaki、Wei Juncheng
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  
  Volume: 148 Issue: 1 Pages: 101-122
- DOI
  10.1017/s0308210517000154
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14223
[Journal Article] Existence of a ground state and scattering for a nonlinear Schr\"{o}dinger equation with critical growth2013
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Selecta Math
  
  Volume: 19 Pages: 545-609
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840037
[Journal Article] Existence and uniqueness of singular solution to stationary Schrodinger equation with supercritical nonlinearity2013
- Author(s)
  Fouad Hadj Selem, Hiroaki Kikuchi, Juncheng Wei
- Journal Title
  
  Discrete and Continuous Dynamical Systems-series A
  
  Volume: vol 33 Issue: 10 Pages: 4613-4626
- DOI
  10.3934/dcds.2013.33.4613
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-23840037
[Journal Article] Existence of a ground state and scattering for a nonlinear Schrodinger equation with critical growth2013
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Selecta Mathematica, new series
  
  Volume: vol 19, issue 2 Issue: 2 Pages: 545-609
- DOI
  10.1007/s00029-012-0103-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-23654052, KAKENHI-PROJECT-25800077
[Journal Article] Stationary problem related to the nonlinear Schrodinger equation on the unit ball2012
- Author(s)
  Reika Fukuizumi, Fouad Hadj Selem and Hiroaki Kikuchi
- Journal Title
  
  Nonlinearity
  
  Volume: vol 25 Issue: 8 Pages: 2271-2301
- DOI
  10.1088/0951-7715/25/8/2271
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-23840037, KAKENHI-PROJECT-24740079
[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schr\"{o}dinger equation with critical growth.2012
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840037
[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schr￥"{o}dinger equation with critical growth2012
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki kikuchi, Hayato Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840037
[Journal Article] Existence of a ground state and blow-up problem for a nonlinearSchrodinger equation with critical growth2012
- Author(s)
  赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030
[Journal Article] Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities2012
- Author(s)
  Fouad Hadj Selem, Hiroaki Kikuchi
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 387 Issue: 2 Pages: 746-754
- DOI
  10.1016/j.jmaa.2011.09.034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840037
[Journal Article] Scattering and blowup problems for a class of nonlinear Schr\"{o}dinger equations2012
- Author(s)
  Takafumi Akahori, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 1075-1118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840037
[Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  Takafumi Akahori, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: vol 25, no 11-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrodinger equation2023
- Author(s)
  菊池弘明
- Organizer
  The 24th Northeastern Symposium on Mathematical Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Positive solutions to stationary double power nonlinear Schrodinger equations2023
- Author(s)
  菊池弘明
- Organizer
  Non-compactness phenomena on critical problems and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Positive solutions to stationary double power nonlinear Schrodinger equations2023
- Author(s)
  菊池弘明
- Organizer
  発展方程式とその周辺ーエネルギー構造と解の定量的解析ー
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Uniqueness of ground states for double power nonlinear Schrodinger equations2023
- Author(s)
  菊池弘明
- Organizer
  精密解析による非線形問題の新展開
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Uniqueness of ground states for double power nonlinear Schrodinger equations2022
- Author(s)
  菊池弘明
- Organizer
  Workshop on Non-compact Variational Problems and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Nondegeneracy of ground states for double power nonlinear Schrodinger equtions2022
- Author(s)
  菊池弘明
- Organizer
  RIMS 共同研究（グループ型 A）「非線形問題の精密解析」
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] 二重べき非線形シュレディンガー方程式の基底状態の非退化性について2022
- Author(s)
  菊池弘明
- Organizer
  NLPDE Spring セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Construction of a bifurcation branch from line solitons for nonlinear Schrodinger equations on product space2022
- Author(s)
  菊池弘明
- Organizer
  第5回反応拡散方程式と非線形分散型方程式の解の挙動
- Invited
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] 空間３次元における二重べき非線形シュレディンガー方程式の基底状態2022
- Author(s)
  菊池弘明
- Organizer
  日本数学会2022年度秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Construction of a bifurcation branch from line solitons for nonlinear Schrodinger equations on product space R × T2021
- Author(s)
  菊池弘明
- Organizer
  南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions2021
- Author(s)
  菊池弘明
- Organizer
  京都大学NLPDE seminar
- Invited
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Construction of a bifurcation branch from line solitons for nonlinear Schrodinger equations on product space R × T2021
- Author(s)
  菊池弘明
- Organizer
  オンラインによる微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] R. Killip, J. Murphy and M. Visan Cubic-quintic NLS: scattering beyond the virial threshold (preprint) の論文紹介2021
- Author(s)
  菊池弘明
- Organizer
  RIMS共同研究グループ型A「線形および非線形分散型方程式の研究の進展」
- Invited
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Existence of a ground state and blowup problem for a class of nonlinear Schrodinger equations2020
- Author(s)
  Hiroaki Kikuchi
- Organizer
  2020 CMS Winter Meeting (session: Nonlinear PDEs and kinetic problems)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706
[Presentation] Ground states to combined power-type nonlinear Schroedinger equations in three space dimensions2019
- Author(s)
  菊池弘明
- Organizer
  神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Ground states to combined power-type nonlinear Schroedinger equations in three space dimensions2019
- Author(s)
  菊池弘明
- Organizer
  さいたま数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Ground states to combined power-type nonlinear Schroedinger equations in three space dimensions2019
- Author(s)
  菊池弘明
- Organizer
  広島数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Minimization problem associated with ground states to combined power-type nonlinear Schr\"odinger equations2019
- Author(s)
  Hiroaki Kikuchi
- Organizer
  Applied math seminar (University of Victoria)
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Ground states to combined power-type nonlinear Schroedinger equations in three space dimensions2019
- Author(s)
  菊池弘明
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Non-uniqueness for an energy-critical heat equation on R^22019
- Author(s)
  菊池弘明
- Organizer
  応用数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Ground states to combined power-type nonlinear Schroedinger equations in three space dimensions2019
- Author(s)
  菊池弘明
- Organizer
  Mini Workshop on Variational Problems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Ground states to combined power-type nonlinear Schroedinger equations in three space dimensions2019
- Author(s)
  菊池弘明
- Organizer
  CAIMS-SCMAI Annual Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Minimization problem associated with ground states to combined power-type nonlinear Schroedinger equations in three space dimensions2019
- Author(s)
  菊池弘明
- Organizer
  応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Non-uniqueness for an energy-critical heat equation on R^22019
- Author(s)
  菊池弘明
- Organizer
  愛媛大学における微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Uniqueness of ground states to nonlinear scalar eld equations involving the Sobolev critical exponent in their nonlinearities2018
- Author(s)
  菊池弘明
- Organizer
  非線形問題への常微分方程式の手法によるアプローチ
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities.2018
- Author(s)
  Hiroaki Kikuchi
- Organizer
  Applied math seminar (University of Victoria)
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Minimization problem associated with ground states to combined power-type nonlinear Schr\"odinger equations2018
- Author(s)
  Hiroaki Kikuchi
- Organizer
  2018 CMS Winter Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Singular solutions and bifurcation diagrams of elliptic equations with exponential nonlinearity2017
- Author(s)
  菊池弘明
- Organizer
  第１４７回神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Virial functional and global dynamics for a class of nonlinear Schrodinger equations2017
- Author(s)
  菊池弘明
- Organizer
  RIMS 調和解析学と非線形偏微分方程式
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Uniqueness of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities2017
- Author(s)
  菊池弘明
- Organizer
  第15回浜松偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Singular solutions and bifurcation diagrams of elliptic equations with exponential nonlinearity2017
- Author(s)
  菊池弘明
- Organizer
  愛媛大学における微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] 指数型非線形項をもつ楕円型方程式の正値解の分岐ダイアグラムについて2017
- Author(s)
  菊池弘明
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14223
[Presentation] Global dynamics above the ground state energy for a class of nonlinear Schrodinger equations with critical growth2017
- Author(s)
  Hiroaki Kikuchi
- Organizer
  THE TENTH IMACS INTERNATIONAL CONFERENCE ON NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA: COMPUTATION AND THEORY
- Place of Presentation
  University of Georgia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800074
[Presentation] Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies2016
- Author(s)
  菊池弘明
- Organizer
  北海道大学PDE seminar
- Place of Presentation
  北海道大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800074
[Presentation] 指数型非線形項をもつ楕円型方程式の正値解の分岐について2016
- Author(s)
  菊池弘明
- Organizer
  NLPDE セミナー
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800074
[Presentation] Asymptotic behavior of solutions for a class of nonlinear Schr\"odinger equations2016
- Author(s)
  Hiroaki Kikuchi
- Organizer
  AIMS Conference 2016
- Place of Presentation
  Orland
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800074
[Presentation] 指数型非線形項をもつ楕円型方程式の正値解の分岐ダイアグラム2016
- Author(s)
  菊池弘明
- Organizer
  応用数学セミナー
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800074
[Presentation] . Scattering and blowup problems for a class of nonlinear Schrodinger equations,2012
- Author(s)
  菊池弘明
- Organizer
  津田塾大学談話会
- Place of Presentation
  津田塾大
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] Blowup and scattering problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  Hiroaki Kikuchi
- Organizer
  Analytical and Numerical Advances Around Schrodinger Equations
- Place of Presentation
  Toulous (France)
- Year and Date
  2012-10-26
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] Blowup and scattering problems for a class of nonlinear Schrodinger equations,2012
- Author(s)
  菊池弘明
- Organizer
  Analytical and Numerical Advances Around Schrodinger Equations
- Place of Presentation
  Universite Paul Sabatier
- Invited
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] ソボレフ超臨界の非線形項をもつ楕円型方程式の特異解の存在と一意性について2012
- Author(s)
  菊池弘明
- Organizer
  第103回神楽坂解析セミナー
- Place of Presentation
  東京理科大学
- Year and Date
  2012-05-26
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  菊池弘明
- Organizer
  Seminar de Mathematiques Appliquees
- Place of Presentation
  Blaise Pascal University
- Year and Date
  2012-03-13
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  Hiroaki Kikuchi
- Organizer
  Universite' Blaise Pascal (France)
- Place of Presentation
  Universite' Blaise Pascal (France)
- Year and Date
  2012-03-13
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] ソボレフ超臨界の非線形項をもつ楕円型方程式の特異解の存在と一意性について2012
- Author(s)
  菊池弘明
- Organizer
  第103回神楽坂解析セミナー
- Place of Presentation
  東京理科大
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] Scattering and blowup problems for a class of nonlinear Schrodinger equations2011
- Author(s)
  菊池弘明
- Organizer
  the 4th MSJ-SI "NONLINEAR DYNAMICS IN PAETIAL DIFFERENTIAL EQUATIONS"
- Place of Presentation
  九州大学
- Year and Date
  2011-09-20
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] 非線形シュレディンガー方程式の定在波の不安定性に関連する最小化問題について2011
- Author(s)
  菊池弘明
- Organizer
  OCAMI 楕円型方程式研究集会～定常非線形シュレディンガー方程式の定在波解の研究～
- Place of Presentation
  大阪市立大学
- Year and Date
  2011-08-11
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] Scattering and blowup problems for a class of nonlinear Schrodinger equations2011
- Author(s)
  Hiroaki Kikuchi
- Organizer
  the 4th MSJ-SI ``NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS"
- Place of Presentation
  九州大学
- Year and Date
  2011-09-20
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] 非線形シュレディンガー方程式の定在波の不安定性に関連する最小化問題について2011
- Author(s)
  菊池弘明
- Organizer
  OCAMI楕円型方程式研究集会
- Place of Presentation
  大阪市立大学
- Year and Date
  2011-08-11
- Data Source
  KAKENHI-PROJECT-23840037
[Presentation] ソボレフ超臨界の非線形項を持つ楕円型方程式の特異解について
- Author(s)
  菊池弘明
- Organizer
  RIMS共同研究「線形および非線形分散型方程式の研究」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] ソボレフ超臨界の非線形項を持つ楕円型方程式の特異解について
- Author(s)
  菊池弘明
- Organizer
  第11回浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340030

1. NAWA Hayato (90218066)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
2. SAKAJO Takashi (10303603)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. YOSHIDA Nobuo (40240303)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. FUKUIZUMI Reika (00374182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
5. Matsumoto Takeshi (20346076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. AKAHORI Takafumi (90437187)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
7. OHKITANI Koji

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. Gadi Fibich

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. Anne de Bouard

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 生駒典久

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Kikuchi Hiroaki 菊池 弘明

KIKUCHI Hiroaki 菊池 弘明

Research Projects

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Co-Researchers

ソボレフ臨界の非線形シュレディンガー 方程式の解析Principal Investigator

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Study for nonlinear partial differential equation with Sobolev critical/supercritical nonlinearityPrincipal Investigator

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Analysis of nonlinear partial differential equations with Sobolev supercritical exponentPrincipal Investigator

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Analysis of standing waves for nonlinear Schroedinger equations with harmonic potentialPrincipal Investigator

Principal Investigator

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Stability analysis of standing waves for nonlinear Schrodinger equationsPrincipal Investigator

Principal Investigator

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Stochastic Processes and Statistical Phenomena behind Partial Differential Equaitons

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[Journal Article] Pitchfork Bifurcation at Line Solitons for Nonlinear Schrodinger Equations on the Product Space R times T2023

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[Journal Article] Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrodinger equation at low frequencies2023

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[Journal Article] Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations2022

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[Journal Article] Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies2021

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[Journal Article] Transverse Stability of Line Soliton and Characterization of Ground State for Wave Guide Schr?dinger Equations2021

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[Journal Article] Remarks on solitary waves and Cauchy problem for Half-wave-Schrodinger equations2020

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[Journal Article] Existence of a ground state and blowup problem for a class of nonlinear Schrodinger equations involving mass and energy critical exponents2020

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[Journal Article] Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies2019

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Kikuchi Hiroaki 菊池弘明

KIKUCHI Hiroaki 菊池弘明

ソボレフ臨界の非線形シュレディンガー方程式の解析Principal Investigator