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Researcher DataBase - Personal Information :
Akahori Takafumi
Papers, etc.
[1]. Pitchfork Bifurcation at Line Solitons for Nonlinear Schrodinger Equations on the Product Space R × T
Annales Henri Poincar´e 25/7 3467-3497 (2024) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀公史, 菊池弘明, Yakine Bahri, Slim Ibrahim [Notes] 論文全体
[DOI]
[2]. Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions
Nonlinear Analysis 232/ - 113285 (2023) [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 [DOI]
[3]. Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations
Journal of Differential Equations 334/ 25-86 (2022) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人 [Notes] 論文の全て.
[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.
Nonlinear Differential Equations and Applications 29/6 - 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
[5]. 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/ - 1331 (2021) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
[6]. 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] author
[Author] 赤堀公史, Slim Ibrahim, 菊池弘明 [Notes] 論文の全て
[7]. 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 58/4 - 120 (2019) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀公史, Slim Ibrahim, 生駒典久, 菊池弘明, 名和範人 [Notes] 全て
[8]. Virial functional and dynamics for nonlinear Schrödinger equations of local interactions.
NoDEA Nonlinear Differential Equations Appl. 25/1 - 5 (2018) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀公史, 菊池弘明, 山田剛 [Notes] 論文の全てを全員で担当
[9]. Blowup and scattering problems for the nonlinear Schrodinger equations
Kyoto journal of Mathematics 53/3 629- 672 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史, 名和範人 [Notes] 論文の全てを全員で担当
[10]. Existence of a ground state and scattering problem for a nonlinear Schrodinger equation with critical growth
Selecta Mathematica 19/2 545-609 (2013) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史,Slim Ibrahim,菊池弘明,名和範人 [Notes] 論文の全てを全員で担当
[11]. Scattering and blowup problems for a class of nonlinear Schrodinger equations
Differential Integral Equations 25/11-12 1075- 1118 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史, 菊池弘明, 名和範人 [Notes] 論文の全てを全員で担当
[12]. Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth
Differential and Integral Equations 25/3-4 383-402 (2012) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀公史,Slim Ibrahim,菊池弘明,名和範人 [Notes] 論文の全てを全員で担当
[13]. Low regularity global well-posedness for the nonlinear Schrodinger equation on closed manifolds
Communications on Pure and Applied Analysis 9/2 261- 280 (2010) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史
[14]. Multilinear eigenfunction estimates for the harmonic oscillator and the nonlinear Schrodinger equation with the harmonic potential
Annales Henri Poincare 10/4 673-709 (2009) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史, 伊藤健一 [Notes] 論文の全てを全員で担当
[15]. Well-posedness for the Schrodinger-improved Boussinesq system and related bilinear estimates
Funkcialaj Ekvacioj 50/3 469- 489 (2007) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史
[16]. A sharp bilinear restriction estimate for the sphere and its application to the wave-Schrodinger system
Advanced Studies in Pure Mathematics 47/1 65- 85 (2007) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史
[17]. Global solutions of the wave-Schrodinger system below L2
Hokkaido Mathematical Journal 35/4 779- 813 (2006) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史
[18]. Global solutions of the wave-Schrodinger system with rough data
Communications on Pure and Applied Analysis 4/2 209-240 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 赤堀 公史 |