Non-uniqueness for an energy-critical heat equation on R^2 査読

380   317 - 348   2021年

Remarks on solitary waves and Cauchy problem for half-wave-Schrödinger equations 査読

Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi

Communications in Contemporary Mathematics   23 ( 5 )   1 - 31   2021年

Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents.

Hiroaki Kikuchi, Minami Watanabe

Nonlinear Differential Equations and Applications   2020年10月

Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies 査読

Takafumi Akahori, Slim Ibrahim, Norihisa Ikoma, Hiroaki Kikuchi, Hayato Nawa

Calculus of Variations and Partial Differential Equations   58 ( 4 )   1 - 32   2019年6月

Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter 査読

Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi

Proceedings of the Royal Society of Edinburgh Section A: Mathematics   2019年5月

Bifurcation diagram of solutions to elliptic equation with exponential nonlinearity in higher dimensions 査読

Hiroaki Kikuchi

Proceedings of the Royal Society of Edinburgh Section A: Mathematics   2018年4月

Virial functional and dynamics for nonlinear Schrödinger equations of local interactions 査読

25 ( 1 )   1 - 27   2018年4月

Remarks on scattering problem for a class of nonlinear Schrödinger equations 招待 査読

Hiroaki Kikuchi

RIMS Kôkyûroku Bessatsu   B70   73 - 92   2018年

Existence of a ground state and scattering for a nonlinear Schr\"{o}dinger equation with critical growth 査読

Takafumi Akahori. Slim Ibrahim. Hiroaki Kikuchi. Hayato Nawa.

Selecta Mathematica   19   545 - 609   2013年12月

Existence and uniqueness of singular solution to stationary Schr\"{o}dinger equation with supercritical nonlinearity. 査読

Fouad Hadj Selem, Hiroaki Kikuchi and Juncheng Wei

Discreat and Continuous Dynamical Systems-series A   33 ( 10 )   4613 - 4626   2013年10月

Scattering and blowup problems for a class of nonlinear Schr\"{o}dinger equations 査読

Takafumi Akahori. Hiroaki Kikuchi. Hayato Nawa.

Differential and Integral Equations   25   1075 - 1118   2012年11月

Stationary problem related to nonlinear Schr\"{o}dinger equations on the unit ball. 査読

Reika Fukuizumi. Fouad Hadj Selem. Hiroaki Kikuchi.

Nonlinearity   25 ( 8 )   2271 - 2301   2012年8月

Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth.

Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi and Hayato Nawa

Differential and Integral Equations. 25 (2012)   383 - 402   2012年1月

Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities

Fouad Hadj Selem,Hiroaki Kikuchi

Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities,   746 - 754   2012年1月

Orbital stability of semitrivial standing waves for the Klein-Gordon-Schrödinger system,

Hiroaki Kikuchi

Annales de l'Institut Henri Poincare-AN. 28 (2011)   315 - 323   2011年1月

Remarks on the orbital instability of standing waves for the wave-Schrödinger system in higher dimensions

Hiroaki Kikuchi

Communication Pure Applied Analysis   9 ( 2 )   351 - 364   2010年1月

Stable standing waves for the two-dimensional Klein-Gordon-Schrödinger system

Hiroaki Kikuchi

Proceeding Royal Society. Edinburgh Section A.   140 ( 05 )   1011 - 1039   2010年1月

Stability of standing waves for the Klein-Gordon-Schrödinger system

Hiroaki Kikuchi,Masahito Ohta

Journal of Mathematical Analysis and Applications   ( 365 )   109 - 114   2010年1月

Instability of standing waves for the Klein-Gordon-Schrödinger system

Hiroaki Kikuchi,Masahito Ohta

Hokkaido Mathematical Journal   37 ( 4 )   735 - 748   2008年1月

On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations

Hiroaki Kikuchi

Nonlinear Analysis 67 (2007)   1445 - 1456   2007年1月

Existence and stability of standing waves for Schrödinger-Poisson-Slater equation

Hiroaki Kikuchi

Advanced Nonlinear Studies 7 (2007)   403 - 437   2007年1月

Nondegeneracy of ground states for double power nonlinear Schr\"odinger equations

2022年3月8日 

Construction of a bifurcation branch from line solitons for nonlinear Schrodinger equations on product space 招待

2022年2月17日 

Construction of bifurcation branch from line solitons for nonlinear Schrodinger equations on product space ℝ × 𝕋 招待 国際共著

2021年10月16日 

Construction of a bifurcation branch from line solitons for nonlinear Schrodinger equations on product space 国際共著

2021年8月31日 

R. Killip, J. Murphy and M. Visan Cubic-quintic NLS: scattering beyond the virial threshold (preprint) の論文紹介 招待

菊池弘明

京都大学数理解析研究所　共同研究「線形および非線形分散型方程式の研究の進展」  2021年5月18日 

Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions 招待

2021年1月15日 

Existence of a ground state and blowup problem for a class of nonlinear Schr ̈odinger equations 招待 国際会議

Hiroaki Kikuchi

2020 CMS Winter Meeting (session Nonlinear PDEs and kinetic problems)  2020年12月4日  Slim Ibrahim Weiran Sun

Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions

菊池弘明

広島数理解析セミナー 

Non-uniqueness for an energy-critical heat equation on R^2

菊池弘明

応用数理解析セミナー 

Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions

菊池弘明

第30回さいたま数理解析セミナー 

Non-uniqueness for an energy-critical heat equation on R^2

菊池弘明

愛媛大学における微分方程式セミナー 

Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions

菊池弘明

第164回神楽坂解析セミナー 

Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions

菊池弘明

九州関数方程式セミナー 

Minimization problem associated with ground states to combined power-type nonlinear Schrodinger equations in three space dimensions

菊池弘明

「応 用 解 析 」 研 究 会  

Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions

Hiroaki Kikuchi

CAIMS-SCMAI Annual Meeting 

Ground states to combined power-type nonlinear Schrodinger equations in three space dimensions

Hiroaki Kikuchi

Mini Workshop on Variational Problems 

Minimization problem associated with ground states to combined power-type nonlinear Schrodinger equations

Hiroaki Kikuchi

Applied Math seminar 

Minimization problem associated with ground states to combined power-type nonlinear Schrodinger equations

Hiroaki Kikuchi

2018 CMS Winter Meeting 

Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities

Hiroaki Kikuchi

Applied Math seminar 

Uniqueness of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities

菊池弘明

非線形問題への常微分方程式の手法によるアプローチ 

Uniqueness of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities

菊池弘明

第15回浜松偏微分方程式研究集会 

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

菊池弘明

九州関数方程式セミナー 

Singular solutions and bifurcation diagrams of elliptic equations with exponential nonlinearity

Hiroaki Kikuchi

愛媛大学における微分方程式セミナー 

Virial functional and global dynamics for a class of nonlinear Schrodinger equations

Hiroaki Kikuchi

RIMS 調和解析学と非線形偏微分方程式 

Singular solutions and bifurcation diagrams of elliptic equations with exponential nonlinearity

菊池弘明

第１４７回神楽坂解析セミナー 

Blowup and scattering problems for a class of nonlinear Schrodinger equations

Hiroaki Kikuchi

Analytical and Numerical Advances Around Schro"dinger Equations 

Scattering and blowup problems for a class of nonlinear Schrodinger equations

Hiroaki Kikuchi

the 4th MSJ-SI ``NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS" 

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

菊池弘明

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～ 

Singular solutions of semilinear elliptic equations with Sobolev supercritical nonlinearity

Hiroaki Kikuchi

Nonlinear Wave and Dispersive equations 

Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities

Hiroaki Kikuchi

Workshop on solitary waves and related topics