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Researcher DataBase - Personal Information :
Akahori Takafumi
Akahori Takafumi
Professor
College of Engineering - Division of Mathematical and Systems Engineering
Faculty of Engineering - Department of Mathematical and Systems Engineering
Graduate School of Integrated Science and Technology Department of Engineering - Mathematical and Systems Engineering Course
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Last updated : 2023/08/19 2:05:56
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Basic information on teaching staff
| Tohoku University 2006/3 |
| Partial differential equations |
Research information
[1]. Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations
Journal of Differential Equations 334/15 25-86 (2022) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] co-author
[Author] 赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人 [Notes] 論文の全て.
[2]. Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions.
Nonlinear Differential Equations and Applications 29/6 1-54 71 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀公史, 村田美帆 [Notes] 論文の全て
[3]. Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies.
Memoirs of the American Mathematical Society 272/ 1-130 1331 (2021) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] co-author
[Author] Akahori Takafumi, Slim Ibrahim, HIroaki Kikuchi, Hayato Nawa
[4]. Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter
Proc. Roy. Soc. Edinburgh Sect. A 150/5 2417-2441 (2020) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] co-author
[Author] Slim Ibrahim, Kikuchi,Hiroaki [Notes] 論文の全て
[5]. Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies
Calc. Var. Partial Differential Equations 58/ 1-32 (2019) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] co-author
[Author] 赤堀公史, IKOMA NORIHISA, SLIM IBRAHIM, KIKUCHI HIROAKI, NAWA HAYATO [Notes] 全て
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[1]. Limiting profiles of stable and unstable modes of the linearized problems around ground states for perturbed nonlinear Schrodinger equations
The 19th linear and nonlinear waves （2022/11/） invited
[Presenter]赤堀公史
[Notes] 大阪大学 南部陽一郎ホール
[2]. H^-1(R)におけるKdV方程式の大域適切性の証明方法の紹介
津田塾大学PDE Workshop （2022/11/） other
[Presenter]赤堀公史
[Notes] 津田塾大学 津田梅子記念交流館
[3]. Recent developments in the global well-posedness theory for complete integrable systems
現代解析学研究所Workshop （2022/8/） other
[Presenter]赤堀公史
[Notes] 静岡大学静岡キャンパス理学部C棟309室
[4]. Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions
Workshop on recent progress in standing waves for nonlinear Schrodinger equations （2021/11/） invited
[Presenter]赤堀公史
[Notes] 京都産業大学 万有館
[5]. Uniqueness of ground states for combined power-type nonlinear scalar field equations
CMS Winter Meeting, Nonlinear PDEs and kinetic problems （2020/12/5） invited
[Presenter]赤堀公史
[Notes] Canadian Mathematical Society
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[1]. 完全可積分系の方程式に対する解の時間大域挙動の研究 （ 2020/4 ～ 2024/3 ） Grant-in-Aid for Scientific Research (C) leader
[2]. 臨界ソボレフ空間における非線形分散型方程式の研究 （ 2013/4 ～ 2016/3 ） Grant-in-Aid for Young Scientists (B) leader
[3]. 非線形分散型方程式の解の挙動の研究 （ 2010/4 ～ 2012/3 ） Grant-in-Aid for Young Scientists (B) leader
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[1]. 津田塾大学PDE Workshop （2022/2)
[Role at conference, etc.] is leader [Site of conference, etc.] オンライン
[2]. 津田塾大学PDE研究会 （2020/2)
[Role at conference, etc.] is leader [Site of conference, etc.] 津田塾大学
[Notes] 津田塾大学の菊池弘明氏と, 津田塾大学の援助により開催.
[3]. 浜松偏微分方程式研究集会 （2019/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学浜松キャンパス
[4]. 第14回浜松偏微分方程式研究集会 （2016/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学浜松キャンパス
[5]. 浜松偏微分方程式研究集会 （2015/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学
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Education related information
[1]. Graduate School Course(Master's) Advanced Mathematics for Engineers （2023(FY) - first semester )
[2]. Faculty Course 微分積分学Ⅰ （2023(FY) - first semester )
[3]. Faculty Course 微分積分学Ⅱおよび演習 （2023(FY) - second semester )
[4]. Faculty Course 微分積分学Ⅱおよび演習 （2023(FY) - second semester )
[5]. Faculty Course 応用数学Ⅱ （2023(FY) - first semester )
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2022(FY)
Number of master's course students : 1
2021(FY)
Number of undergraduate students(junior students) 1
Number of undergraduate students(senior students) 1
Number of master's course students : 1
Number of doctorate course students (main advisor) : 0
2020(FY)
Number of undergraduate students(junior students) 2
Number of undergraduate students(senior students) 0
Number of master's course students : 1
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
[Notes] システム工学セミナー入門において3年生を担当
2019(FY)
Number of undergraduate students(junior students) 1
Number of undergraduate students(senior students) 0
Number of master's course students : 0
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
[Notes] システム工学セミナー入門において3年生を担当.
2016(FY)
Number of master's course students : 0
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
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[1]. 数学の広場 （2016/10 )
[2]. サークル顧問 （2016/4 )
[Notes] サークル名: エスポアール
[3]. サークル顧問 （2015/10 )
[Notes] サークル名: エスポアール
[4]. 数学の広場 （2015/4 )
[5]. 数学の広場 （2013/4 )
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Contributions to society
[1]. training courses FDK数学セミナー （2014/9 )
[Details] 微分積分学に関する講義
[Notes] FDK |
International contributions
Others