TAKAGI Izumi 高木泉

… Alternative Names

高木泉

Less

Researcher Number	40154744
Other IDs
Affiliation (Current)	2025: 東北大学, 理学研究科, 客員研究者
Affiliation (based on the past Project Information) *help	2016 – 2023: 東北大学, 理学研究科, 名誉教授 2011 – 2015: 東北大学, 理学(系)研究科(研究院), 教授 2013: 東北大学, 理学研究科, 教授 1995 – 2011: 東北大学, 大学院・理学研究科, 教授 2010: 東北大学, 大学院・理工学研究科, 教授 … More 2006: Tohoku University, Graduate School of Science, Professor, 大学院理学研究科, 教授 2002: 東北大学, 教授 1998: 東北大学, 大学院理学研究科, 教授 1995: 東北大学, 理学研究科, 教授 1989 – 1994: 東北大学, 理学部, 助教授 1992: 東北大学, 理学部, 文部教官助教授 1986 – 1987: 東北大学, 理学部, 講師 Less
Review Section/Research Field	Principal Investigator 解析学 / Global analysis / Basic Section 12020:Mathematical analysis-related / Global analysis / Mathematical Sciences in Search of New Cooperation / Mathematical analysis Except Principal Investigator 解析学 / Global analysis / Geometry / Basic analysis … More / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Global analysis / Algebra / 代数学・幾何学 Less
Keywords	Principal Investigator 反応拡散系 / パターン形成 / 安定性 / 反応拡散方程式系 / 反応拡散方程式 / 平均曲率 / 特異摂動 / 進行波解 / 集中現象 / 半線型楕円型方程式 … More / 受体－配体模型 / 半線型楕円型偏微分方程式 / スパイク解 / 受容体―結合基反応 / 不連続定常解 / 特異摂動解 / 界面 / パターンの崩壊 / 幾何学的変分問題 / Willmore汎函数 / 赤血球膜 / 曲げエネルギー / 活性因子-抑制因子系 / 変分法 / ノイマン問題 / receptor-ligand 反応 / 安定定常解の連続体 / 定常パターン / 跳躍不連続性 / 反応拡散－常微分方程式系 / 空間的非一様性 / 一次パターンと二次パターン / 変数係数 / 配体－受体モデル / 配体ー受体モデル / 変数係数微分方程式 / 反応拡散形 / 変数係数偏微分方程式 / 分岐図 / 出芽 / 接触と融合 / ベシクル / 束縛条件附き変分問題 / Willmore 汎函数 / 束縛条件附変分問題 / 幾何学的変分法 / 面積差弾性モデル / 非等方非一様場におけるパターン / 面積差弾性エネルギーモデル / ベシクルの形態変換 / 面積差弾性エネルギー / ベシクルの形状 / spike-layered solutions / scattering of spot-like solutions / activator-inhibitor system / blow-up of solutions / collapse of patterns / pattern formation / reaction-diffusion systems / 空間的構造 / 領域の境界の曲率 / 軌道の極限集合 / 非常に薄い領域 / 活性因子・抑制因子 / スポット解の散乱現象 / 活性因子,抑制因子 / 解の爆発 / stability / transition layer / spike-layer solutions / singular perturbation / reaction-diffusion system / 活性因子 / 遷移過程 / パターン形式 / 遷移層 / 非拡散性物質 / 非拡散性種 / 分岐解 / 不連続定常解の安定性 / 拡散成分と非拡散成分 / 第一種不連続性をもつ定常解 / 退化型反応拡散系 / 拡散性成分 / 非拡散性成分 / 多成分 / 大域的構造 / 定常解の分岐 / 定常解集合の大域構造 / 拡散誘導不安定化 / ヒドラ頭部再生モデル / 放物型偏微分方程式 / 空間の非均一性 / 曲線の変形・運動 / 楕円形偏微分方程式 / 運動神経軸索配置 / ヒドラ頭部再生実験 / 活性因子ー抑制因子系 / 幾何学的汎函数 / 非等方的非一様場 / 界面の運動 / 曲面の変形 / 自己組織化 / 空間的不均一性 / 曲面・曲線の変形 / 非線型楕円型方程式 / 不均一媒体 / 異方性 / 表面張力 / 二層ステファン問題 / 二相ステファン問題 / 樹枝状結晶 / 先端の分裂 / 粘性指 / Hele-Shaw流 / 側枝の形成 / 針状結晶 / 走化性モデル / 曲面の運動 / 非一様な媒体 / 曲面・曲線の運動 / 活性因子抑制因子系 / 脂質二層膜の形態変換 / 曲線の運動 / 非一様な媒質 / 赤血球 / 条件付極値問題 / 分岐 / ウィルモア汎函数 / 極小曲面 / イノマン問題 / 得異摂動解 / 拡散反応方程式系 / ハミルトン系 / 解の特異性の伝播 / コ-シ-問題 / 非線型楕円型偏微分方程式 / 時異摂動 … More Except Principal Investigator 反応拡散系 / 調和写像 / 偏微分方程式 / 安定性 / 拡散 / 非線形 / エネルギー不等式 / ベゾフ空間 / トーリック多様体 / ケーラー多様体 / 関数微分方程式 / reaction-diffusion system / 反応拡散方程式系 / ダイナミクス / 適切性 / 爆発解 / オイラー方程式 / ナビエ・ストークス方程式 / CR多様体 / 退化楕円型偏微分作用素 / 常微分方程式 / 一意性 / 正則性 / 解の漸近挙動 / 初期値問題の適切性 / 修正KdV方程式 / 弱解 / null condition / pattern formation / パターン形成 / Navier-Stokes equations / 特異摂動 / 分岐理論 / Navier-Stokes Equations / BMO関数 / 特異積分作用素 / harmonic maps / ナヴィエ・ストークス方程式 / 複素クライン群 / 二木指標 / 微分作用素 / 極大函数 / アインシュタイン計量 / 自己相似解 / 非線形シュレディンガー方程式 / 特異性 / 歪勾配系 / 定常解 / 3重結合 / 固有値問題 / BMO / ソボレフ空間 / 調和解析学 / 時間大域解 / ストークス作用素 / ソボレフの不等式 / 外部問題 / L^p-L^q評価 / 基本解 / 擬微分作用素 / アーベル多様体 / ウィルソン基底 / アインシュタイン・ケーラー計量 / 反応拡散方程式 / ノイマン環 / 弱解の正則性 / 漸近安定性 / 変分法 / リヤプノフ函数 / 函数微分方程式 / 有界性 / 線型作用素 / フックス型微分方程式 / ヒル方程式 / regularity / bifurcation equation / bifurcation theory / center manifold / Helfrich variational problem / Willmore functional / Evolution equations for hypersurfaces / 粘性解 / クレブシュ・ゴルダン係数 / ヘルフリッチ変分問題 / 分岐方程式 / 中心多様体 / ヘルフリッヒ変分問題 / ウィルモア汎関数 / 超曲面の発展方程式 / analysis / partial differential equations / reaction-diffusion systems / dynamics / singularity / diffusion / nonlinearity / パターン / 凝集 / 爆発 / 解析 / Besov spaces / Fourier restriction norm method / Nonlinear Schrodinger equations / Unconditional uniqueness / Long range interaction / Nonlinear scattering theory / Modified KdV / Well-posedness / 初期層 / 非相対論的極限 / 非線形Dirac方程式 / 初期値に関する一様連続依存性 / 孤立波解 / Benjamin-Bona-Mahony方程式 / エネルギー空間 / soliton-defect interaction / 安定性と不安定性 / 定在波解 / 漸近自由 / 強い意味での不安定性 / 基底定在波解 / 非線形Klein-Gordon方程式 / 変形Benjamin-Ono方程式 / 解の無条件一意性 / Besov空間 / Fourier制限ノルム法 / 非線形Schrodinger方程式 / 無条件一意性 / 長距離相互作用 / 非線形散乱理論 / 修正KdV / Stokes operator / Non-compact boundary / Helmholtz-Weyl decomposition / Turbulent Solutions / Scaling invariance / Very weak Solutions / Leray-Hopf Class / paraproduct formula / 双線形評価式 / Triebel-Lizorkin空間 / Littlewood-Paley分解 / 渦度の方程式 / 関数空間論 / 基本解の評価 / 半群の理論 / 大域解 / 平均振動 / 渦度ベクトル / コーシー問題 / Stokes作用素 / 非コンパクト境界 / Helmholtz-Weyl分解 / 乱流解 / スケール不変空間 / 超弱解 / Leray-Hopfクラス / Navier-Stokes方程式 / crystal lattice / heat kernel / mean curvature / energy functional / complex Finsler manifold / Futaki invariant / ディリクレ境界値固有値問題 / 活性因子-抑制因子型の反応拡散系 / 平均曲線 / 完備双曲性 / 概正則写像 / グラフ理論 / ヤング・ミルズ接続 / 回転面 / 複素フィンスラー空間 / 解析的連接層 / シンプレクティック多様体 / ヤン・ミルズ接続 / 概複素構造 / 活性因子・抑制因子型反応拡散系 / 結晶格子 / 熱核 / 平均曲率 / エネルギー汎関数 / 複素フィンスラー多様体 / 二木不変量 / Uniqueness / Regurality / Weak solution / Energy inequality / Energy identity / エネルギー等式 / ナヴィア・ストークス方程式 / weak solution / initial value problem / modified KdV equation / well-posedness / global existence in time / Maxwell-Higgs equations / Dirac-Proca equations / 解の正則性 / 非線形波動方程式 / 零条件(null condition) / 振動積分 / フーリエ制限空間 / 解の連続依存性 / 周期境界条件 / 初期値問題 / 修正kdV方程式 / 時間大域存在 / Maxwell-Higgs方程式 / Dirac-Proca方程式 / stability / steady state / eigenvalue analysis / bifurcation / skew-gradient systern / activator-inthibitor system / 興奮ー抑制系 / 解の爆発 / 興奮一抑制 / 分岐 / 興奮-抑制系 / Reaction-Diffusion equations / Magnetic fluid / 反応・拡散系 / 磁気流体 / Huygens operator / moments / conformal gauge transform / coincidence values / tail term of elementary solution / Hadamard coefficients / causal domain / metric principal part / ホイヘンスの原理 / 空隙 / 正規座標系 / ホイヘンス作用素 / モーメント / 共形ゲージ変換 / 同点値 / 基本解の末尾 / アダマール係数 / 因果的領域 / 計量的主要部 / Feynman-Kac formula / additive functional / large deviation / Dirichlet form / symmetric Markov process / 大変差原理 / ファイマン-カッツ汎関数 / ディクレ形式 / ディリクレ形成 / ファインマン-カッツの公式 / 加法的汎関数 / 大偏差原理 / ディリクレ形式 / 対称マルコフ過程 / exterior problem / Lorentz space / Stoker operator / singular integral operation / Fowwer transform / Inter polation space / Sobolur Space / 除去可能と特異点 / 半線形放物形方程式 / 弱解の一意性 / L^r-空間 / 斉次ソボレク空間 / ソボレフ不等式 / ハーディ空間 / 双線形作用素 / 応力テンソル / ストークス方程式 / ローレンツ空間 / クーリエ変換 / 補間空間論 / Futaki character / complex Kleinian groups / toric varieties / Laplace operators on graphs / Carnot groups / Einstein / カルノ-群 / グリーン関数 / グラフのラプラス作用素 / カルノー群 / アインシュタイン / Navier-Stokes equation / Fourier transform / C^-algebra / minimal surface / degenerate elliptic operator / wavelet / maximal function / 多変数フーリエ交換 / C^-代数 / ハ-ル基底 / 非線形放物形方程式 / 非線形双曲形方程式 / ガボ-斜交系 / 多変数フーリエ変換 / C^一環 / ガボー斜交系 / フーリエ変換 / C^-環 / 極小曲面 / 退化楕円型偏微分作用業 / ウェーブレット / 極大関数 / Inverse Problems / Concentration Phenomena / Hyperplanes Arrangements / Hyperbolic Geometries / Cone Manifolds / Types and Proof Theory / Nonlinear evolution equations / Real Analytic Methods / レフシェッツ環 / 群作用 / 量子不変量 / 無限学の解析 / 代数解析学と表現論 / 実解析的手法 / 非線型発展方程式 / モーメント写像 / 型・証明論 / 量子アフィン代数 / 型図子 / 迷問題 / 錐多様体 / 逆問題 / 集中現象 / 超平面配置 / 双曲幾何 / 錘多様体 / 型及び証明論 / 非線形発展方程式 / 実解析的方法 / Strongly pseudo-convex CR manifold / Einstein-Kaehler metric / Moduli space / Harmonic map / Geometric variational problem / Nonlinear problem / Geometry of manifolds / 自己双対計量 / 形態形式モデル / 擬射影平面 / 強擬凸CR多様体 / 複素双曲型多様体 / モジュライ空間 / 大域的変分問題 / 非線形問題 / 幾何学 / conformally flat manifold / Kaehler manifold / reaction-diffusion equation / discrete spectrum / Laplacian / fundamental group / intersection cohomology / toric variety / ベクトル束 / p進多様体 / エルゴード性 / テイト予想 / D加群 / 代数的対称空間 / 非アルキメデス的多様体 / スペクトル / アーベル曲面 / トーリック幾何 / 非線型微分方程式 / 複素数多様体 / リーマン多様体 / ミンコフスキー和 / シュレーディンガー作用素 / 有理点 / アインシュタイ・エルミート計量 / 拡散反応方程式 / スペクトル幾何 / 共形平坦多様体 / 離散スペクトル / ラプラシアン / 基本群 / 交差コホモロジー / Bloch functions / Wilson basis / Hypergeometric singularities / Non-resonance condition / Least energy solutions / Regular completion / Operating functions / Lyapunov function / 不確定性原理 / ベルヌ-イ・シフト / アプリオリ評価 / ポアンカレ写像 / ベルグマン計量 / 無条件基底 / アトム / 局所L^2評価 / ブロック函数 / 超幾何的特異性 / 非共鳴条件 / 最小エネルギー解 / 正則完備化環 / 作用函数 / リャプノフ函数 / Bergman kernel / harmonic function / functional differential equation / integrable hamiltonian system / Dirac operator / Schrodinger operator / トレリの問題 / ケ-ラ-多様体 / ハ-ディ空間 / バ-コフ標準型 / ハミルトンベクトル場 / 半線型楕円型方程式 / ヤン・ミルズ汎函数 / 周期的シュレ-ディンガ-方程式 / バ-グマン核 / 調和関数 / ハミルトン力学系 / シュレディンガ-方程式 / バ-クマン核 / 〓〓調和関数 / ハミルトン正準方程式 / ディラック作用素 / シュレディンガ-作用素 / 拡散-反應方程式 / 発展方程式 / 解折性 / 走化性粘菌モデル / 半導体シュミレーション / 臨界密度 / 非線形熱方程式 / 臨界空間 / 移流拡散方程式 / 消散型波動方程式 / 臨界型Sobolev不等式 / 非局所放物型方程式 / entropy汎函数 / 最大正則性 / 漸近展開 / 臨界指数 / drift-diffusion system / 最大正則性原理 / 有限時刻爆発 / 質量臨界 / ソボレフ臨界指数 / 退化移流拡散方程式 / モデュレーション空間 / 斉次Besov空間 / 時間局所適切性 / 非線形ｼｭﾚﾃﾞｨﾝｶﾞｰ方程式 / 非線形解析 / 定性理論 / 楕円型 / 放物型 / 関数方程式の大域理論 / 特異方程式 / 平均曲率流 / 曲率流 / ネットワーク / 退化 / 拡散系 / 界面 / 極限方程式 / 変分問題 / グラフ / 対数型一様評価 / 渦度 / ソレノイダルベクトル場 / ミレニアム問題 / 軟解 / 乱流 / 除去可能特異点 / 藤田-加藤の原理 / 補間定理 / 分数べき / 調和解析 / ストークス流 / 伴流領域 / ストレステンソル / エネルギー減衰 / 特異積分 / モレ-空間 / 楕円型偏微分作用素 / 接コ-シ-・リーマン作用素 / ベキ零リー群 / ホール伝導度 / 半群の核表現 / 解の大域的挙動 / リヤプノフ関数 / 久賀-佐武のアーベル多様体 / 表現論 / K3曲面 / 数論 / 代数多様体 / 周期解 / 関数方程式 / 拡散過程 / Hardy空間 / 接コ-シ-・リーマン方程式 / Morrey空間 / カ-ルソン測度 / 調和測度 / 面積積分作用素 / 陳類 / ソボレフの臨界指数 / ヤングの図形 / 多変数超幾何函数 / stable / Hermition / Kihler / metric / Eimitein / 退化した変分問題 / 反応拡散方程式素 / 多変数正則函数 / フェルミ因子環 / シュレデンガー作用素 / ウイルソン基底 / フーリエ・マルチプライヤー / アインシュタイン・エルミート接続 / 楕円型偏微分方程式 / ループ空間 / Yang-Baxter方程式 / 半線型楕円型偏微分方程式 / 古典力学 / Klein多様体 / ALE空間 / 半線形楕円偏微分方程式 / 交叉コホモロジー / モジュライ / 安定ベクトル束 / 解析的ハミルトン系 / 半線形楕円型偏微分方程式 / ソボレフの埋蔵定理 / マルチンコンパクト化 / ポテンシャル論 / C^ー環 / 作用素環 / グリ-ン関数 / カチョポリの不等式 / 最小エネルギ-解 / 完全積分可能性 / 終局有界性 / 積分可能系 / Symplectic幾何学 / Hamilton系 / 正則ベクトル束 / ALE重力インスタントン / スペクトル不変量 / リ-マン葉層構造 / フ-リェ解析 / 超幾何型微分方程式系 / ハミルトン系 / トレリ問題 / 点疑集解 / C^代数 / アトム分解 / 行列変数函数 / 不変微分作用素 Less

Behavior of nonstationary solutions to reaction-diffusion systems possessing continua of stationary solutionsPrincipal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University
Fundamental theory of reaction-diffusion equations with variable coefficients---a panorama in Turing's sightPrincipal Investigator
- Principal Investigator
  
  Takagi Izumi
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University
Physical and mathematical approaches to the deformation of vesicles---from contact to adhesion, fusion and buddingPrincipal Investigator
- Principal Investigator
  
  Takagi Izumi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Tohoku University
Control of patterns by multicomponent reaction-diffusion systems of degenerate typePrincipal Investigator
- Principal Investigator
  
  Takagi Izumi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Tohoku University
Turing's Diffusion-Driven-Instability Revisited-from a view point of global structure of solution setsPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to SynthesisPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Mathematical analysis of dendritic crystal growthPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Research for Critical Asymptotic Structure of Nonlinear Evolution Equations
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
New development of the qualitative theory of nonlinear parabolic and elliptic equations
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
  Tohoku University
Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern FormationPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
ネットワーク構造に対する非線形解析
- Principal Investigator
  
  柳田英二
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  2003 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations
- Principal Investigator
  
  TSUTSUMI Yoshio
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
  Tohoku University
Dynamics on Nonlinear Diffusive Systems and Analysis of Singularities
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Research on geometric evolution equations for hypersurfaoes
- Principal Investigator
  
  NAGASAWA Takeyuki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  SAITAMA UNIVERSITY
Geometry of Harmonicity
- Principal Investigator
  
  BANDO Shigetoshi
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
非線形偏微分方程式の適切性に関する統一理論の構築
- Principal Investigator
  
  小薗英雄
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
グラフ上の非線形拡散系のダイナミクス
- Principal Investigator
  
  柳田英二
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Autonomous Formation of Spatial Structures in Solutions of Parabolic Partial Differential EquationsPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Pattern dynamics and asymptotic analysis in reaction-diffusion systems
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations
- Principal Investigator
  
  TSUTSUMI Yoshio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Research on a refinement of the energy inequality for weak solutions to the Navier-Stokes equations
- Principal Investigator
  
  NAGASAWA Takeyuki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  TOHOKU UNIVERSITY
非圧縮性粘性流体の基礎方程式の研究
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
赤血球膜の静的及び動的変形のモデル化とその解析Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Research on Elementary Solutions to Partial Differential Equations
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  TOHOKU UNIVERSITY
Study on Navier-Stokes equations and related nonlinear partial differential equations
- Principal Investigator
  
  MASUDA Kyuya
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
  Tohoku University
曲げエネルギーを極小にする閉曲面と赤血球膜の形態変換Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Complex Manifolds and Gauge Theory
- Principal Investigator
  
  BANDO Shigetoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
Singularly perturbed solutions of reaction-diffusion systems and concentration phenomenaPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
Research on well-posedness for the Navier-Stokes equations
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  解析学
- Research Institution
  Tohoku University
  Nagoya University
Symmetric Markov processes and Dirichlet forms
- Principal Investigator
  
  TAKEDA Masayoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  TOHOKU UNIVERSITY
  Osaka University
代数多様体の数論の研究
- Principal Investigator
  
  MORITA Yasuo
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
微分方程式の解の大域的挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
変分法とその反応拡散方程式系への応用Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
多様体上の退化楕円型擬微分方程式と多変数複素解析
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
SEEKING FURTHER POSSIBILITIES OF MATHEMATICS
- Principal Investigator
  
  YOSHIKAWA Atsushi
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  KYUSHU UNIVERSITY
Harmonic Analysis and its Applications
- Principal Investigator
  
  IGARI Satoru
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
非線型楕円型境界値問題の解の大域的性質Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
退化楕円型境界値問題の調和解析とその多変数複素解析への応用
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
ナヴィエ・ストークス方程式の非線形関数解析的手法による研究
- Principal Investigator
  
  増田久弥
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Mathematical problems on manifolds
- Principal Investigator
  
  ODA Tadao
- Project Period (FY)
  1995 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study of Nonlinear problems in Geometry
- Principal Investigator
  
  NISHIKAWA Seiki
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
特異幾何構造とその応用
- Principal Investigator
  
  板東重稔
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
偏微分方程式の研究
- Principal Investigator
  
  島倉紀夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
楕円型境界値問題と領域の幾何Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
幾何構造の変形と大域的変分問題
- Principal Investigator
  
  西川青季
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
ユークリッド空間,多様体上の調和解析とその応用
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
幾何構造の退化とその応用
- Principal Investigator
  
  板東重稔
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
古典力学における数学的諸問題
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の摂動問題Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の漸近的挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式と摂動問題Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Tohoku University
Several Problems in Analysis
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1991 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
幾何学的変分問題の研究
- Principal Investigator
  
  NISHIKAWA Seiki
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
Hamilton力学系の総合的研究
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
偏微分方程式の実および複素解析的研究
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の構造と漸近挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Problems in Global Analysis
- Principal Investigator
  
  KOTAKE Takeshi
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の漸近挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
複素領域における偏微分方程式の研究
- Principal Investigator
  
  小竹武
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University

[Journal Article] Steady States with Jump Discontinuity in a Receptor-Based Model with Hysteresis in Higher-Dimensional Domains2024
- Author(s)
  Akagi Goro、Takagi Izumi、Zhang Conghui
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 56 Issue: 2 Pages: 1996-2033
- DOI
  10.1137/22m1509059
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-19K03557, KAKENHI-PROJECT-20H01812
[Journal Article] Steady states with jump discontinuity in a receptor-based model with hysteresis in higher-dimensional domains2024
- Author(s)
  Goro Akagi, Lingling Hou, Anna Marciniak-Czochra, Izumi Takagi
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 56 Pages: 1996-2033
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03176
[Journal Article] Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments2021
- Author(s)
  Izumi Takagi and Conghui Zhang
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 280 Pages: 928-966
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Journal Article] Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media2021
- Author(s)
  Izumi Takagi and Conghui Zhang
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 41 Issue: 7 Pages: 3109-3140
- DOI
  10.3934/dcds.2020400
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Journal Article] Hysteresis-driven pattern formation in reaction-diffusion-ODE systems2020
- Author(s)
  Alexandra Koethe, Anna Marciniak-Czochra, Izumi Takagi
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Set. A
  
  Volume: 40 Issue: 6 Pages: 3495-3627
- DOI
  10.3934/dcds.2020170
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557, KAKENHI-PROJECT-16KT0128
[Journal Article] Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem,2019
- Author(s)
  Izumi Takagi and Hiroko Yamamoto
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 掲載決定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0128
[Journal Article] Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem,2019
- Author(s)
  I. Takagi and H. Yamamoto
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 68 Issue: 1 Pages: 63-103
- DOI
  10.1512/iumj.2019.68.7560
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0128
[Journal Article] Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor2019
- Author(s)
  Ying Li, Anna Marciniak-Czochra, Izumi Takagi and Boying Wu
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 掲載決定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem2019
- Author(s)
  Izumi Takagi and Hiroko Yamamoto
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 掲載決定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis2017
- Author(s)
  Y. Li, A. Marciniak-Czochra, I. Takagi and B.Y. Wu
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 47
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis2017
- Author(s)
  Ying Li, Anna Marciniak-Czochra, Izumi Takagi and Boying Wu
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 47 Pages: 217-247
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Stable patterns with jump discontinuity in systems with Turing stability and hysteresis2017
- Author(s)
  S. Haerting, A. Marciniak-Czochra and I. Takagi
- Journal Title
  
  Discrete Contin. Dyn. Syst. Series A
  
  Volume: 37 Issue: 2 Pages: 757-800
- DOI
  10.3934/dcds.2017032
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Pattern formation in a diffusion -ODE model with hysteresis2015
- Author(s)
  Anna Marciniak-Czochra, Madoka Nakayama and Izumi Takagi
- Journal Title
  
  Differential Integral Equations
  
  Volume: 28 Pages: 655-694
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Pattern formation in a diffusion-ODE model with hysteresis2015
- Author(s)
  A. Marciniak-Czochra, M. Nakayama and I. Takagi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-22244010
[Journal Article] Pattern formation in a diffusion-ODE model with hyteresis2015
- Author(s)
  Anna Marciniak-Czochra, Madoka Nakayama and Izumi Takagi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Global bifurcation structure on a shadow system with a source term―representation of all solutions2011
- Author(s)
  H. Takaichi, I. Takagi, S. Yotsutani
- Journal Title
  
  Discrete Cotin. Dyn. Syst. (8th AIMS conference Suppl)
  
  Volume: 4 Pages: 1344-1350
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] 「パターン形成の方程式」,現象から方程式を創り出す-立式で鍛える論理的思考法-第14回2011
- Author(s)
  高木泉
- Journal Title
  
  数理科学(サイエンス社)
  
  Volume: 2011年3月号 Pages: 37-74
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation2011
- Author(s)
  Kanako Suzuki, Izumi Takagi
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 54 Pages: 237-274
- NAID
  130000953648
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244010
[Journal Article] On the Role of Basic Production Terms in an Activator-Inhibitor System Modeling Biological Pattern Formation2011
- Author(s)
  K. Suzuki, I. Takagi
- Journal Title
  
  FE
  
  Volume: 54 Issue: 2 Pages: 237-274
- DOI
  10.1619/fesi.54.237
- NAID
  130000953648
- ISSN
  0532-8721
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009, KAKENHI-PROJECT-23740118
[Journal Article] On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation2011
- Author(s)
  Suzuki, Kanako; Takagi, Izumi
- Journal Title
  
  Funkcial. Ekvac.
  
  Volume: 54, no.2 Pages: 237-274
- NAID
  130000953648
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Collapse of patterns and effect of basic production terms in some reaction-diffusion systems2010
- Author(s)
  K.Suzuki, I.Takagi
- Journal Title
  
  Mathematical Sciences and Applications : Current Advances in Nonlinear Analysis and Related Topics 32(掲載決定)
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application2009
- Author(s)
  K.Watanabe, I.Takagi
- Journal Title
  
  Japan J.Indust.Appl.Math. 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] Behavior of Solutions to an activator-inhibitor system with basic production terms2009
- Author(s)
  Kanako Suzuki, Izumi Takagi
- Journal Title
  
  Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2008 held at Takachiho/University of Miyazaki 1-7
  
  Pages: 49-59
- NAID
  120006654389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Behavior of solutions to an activator-inhibitor system with basic production terms2009
- Author(s)
  Kanako Suzuki and Izumi Takagi
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2008, COE Lect.Note 14, Kyushu Univ. Global COE Program
  
  Pages: 49-59
- NAID
  120006654389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Representation formula for the critical points of theTadjbakhsh-Odeh functional and its application2008
- Author(s)
  K. Watanabe, I. Takagi
- Journal Title
  
  Japan J Indust. Appl. Math
  
  Volume: 25 Pages: 331-372
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] Representation formula for the critical points of the Tadjbakhsh Odeh functional and its application2008
- Author(s)
  Kohtaro Watanabe, Izumi Takagi
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Representation formula for the critical point of the Tadjbakhsh-Odeh functional and its application2008
- Author(s)
  I. Takagi
- Journal Title
  
  Japan J. Indust. Appl. Math. 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application2008
- Author(s)
  Kohtaro Watanabe and Izumi Takagi
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria2007
- Author(s)
  Khin Phyu Phyu Htoo, M. Mimura and I. Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics 47-2
  
  Pages: 613-622
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion2007
- Author(s)
  W. -M. Ni, K. Suzuki and I. Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics 47-2
  
  Pages: 689-708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] On the role of the source terms in an activatorinhibitor system proposed by Gierer-Meinhardt, Advanced Studies in Pure Mathematics2007
- Author(s)
  Kanako Suzuki, Izumi Takagi
- Journal Title
  
  Asymptotic Analysis and Singularities 42
  
  Pages: 749-766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] On the role of the source terms in an activator-inhibitor system proposed by Gierer and Meinhardt. Asymptotic analysis and singularities-elliptic and parabolic PDEsand related problems2007
- Author(s)
  K. Suzuki, I. Takagi
- Journal Title
  
  Pure Math
  
  Volume: 47-2 Pages: 749-766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] On the role of the source terms in an activator-inhibitor system proposed by Gierer-Meinhardt2007
- Author(s)
  Kanako Suzuki and Izumi Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics 47-2
  
  Pages: 749-766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] The dynamics of a kinetic activator-inhibitor system2006
- Author(s)
  Wei-Ming Ni, Kanako Suzuki, Izumi Takagi
- Journal Title
  
  J.Differential Equations 229
  
  Pages: 426-465
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] The dynamics of a kinetic activator-inhibitor system2006
- Author(s)
  W.-M.Ni, I.Takagi, K.Suzuki
- Journal Title
  
  J. Differential Equations 229
  
  Pages: 426-465
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] The dynamics of a kinetic activator-inhibitor systems2006
- Author(s)
  W.-M.Ni, K.Suzu, I, I.Takagi
- Journal Title
  
  J. Differential Equations 229
  
  Pages: 426-465
- Data Source
  KAKENHI-PROJECT-16654032
[Journal Article] The dynamics of a kinetic activator-inhibitor systems2006
- Author(s)
  W.-M.Ni, K.Suzu, I, I.Takagi
- Journal Title
  
  J. Differential Equations 229
  
  Pages: 426-465
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] The dynamics of a kinetic activator-inhibitor systems2006
- Author(s)
  W.-M.Ni, K.Suzu, I, I.Takagi
- Journal Title
  
  J.Differential Equations 229
  
  Pages: 426-465
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities2005
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  J.Math.Kyoto Univ. 45・1
  
  Pages: 145-158
- Data Source
  KAKENHI-PROJECT-15204008
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities2005
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  J.Math.Kyoto Univ. 45-1
  
  Pages: 145-158
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15204008
[Journal Article] Instability of standinge waves for nonlinear Schrodinger equations with ihomogeneous nonlinearities2005
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  J. Math. Kyoto Univ. 45・1
  
  Pages: 145-158
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15204008
[Journal Article] Stability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16(1)
  
  Pages: 111-128
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16(6)
  
  Pages: 691-706
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16
  
  Pages: 691-706
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Bifurcating critical points of bending energy under constraints related to the shape of red blood cells2003
- Author(s)
  T.Nagasawa, I.Takagi
- Journal Title
  
  Calc.Var.Paritial Differential Equations 13
  
  Pages: 63-111
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Bifurcating critical points of bending energy under constraints related to the shape of red blood cells2003
- Author(s)
  T.Nagasawa, I.Takagi
- Journal Title
  
  Calculus of Variations and Partial Differential Equations 16
  
  Pages: 63-111
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440050
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16・6
  
  Pages: 691-706
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Stability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16・1
  
  Pages: 111-128
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Stability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16
  
  Pages: 111-128
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Bifurcating critical points of bending energy under constraints related to the shape of red blood cells2003
- Author(s)
  T.Nagasawa, I.Takagi
- Journal Title
  
  Calc. Var. Paritial Differential Equations 13
  
  Pages: 63-111
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
- Author(s)
  W.-M.Ni, K.Suzuki, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
- Author(s)
  K.P.Htoo, M.Mimura, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
- Author(s)
  K.P.Htoo, M.Mimura, I.Takagi
- Journal Title
  
  Asymptotic Analysis and Singularity, Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Globalsolutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
- Author(s)
  K.P.Htoo, M.Mimura, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
- Author(s)
  W.-M.Ni, K.Suzuki, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
- Author(s)
  W.-M.Ni, K.Suzuki, I.Takagi
- Journal Title
  
  Asymptotic Analysis and Singularity, Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Presentation] ”パターン形成”に関する数学的問題2024
- Author(s)
  高木　泉
- Organizer
  第４回高専間ネットワークによる微分方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03176
[Presentation] What is pattern?2024
- Author(s)
  Izumi Takagi
- Organizer
  Turing Symposium on Morphogenesis, 2024
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Turing pattern vs Turing project2023
- Author(s)
  Izumi Takagi
- Organizer
  Geometric Aspects of Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03176
[Presentation] Turing pattern vs Turing project2023
- Author(s)
  Izumi Takagi
- Organizer
  Geometric Aspects of Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Stable discontinuous stationary solutions of a reaction-diffusion equation coupled with an ODE2022
- Author(s)
  Izumi Takagi
- Organizer
  Long Feng Forum, Partial Differential Equations: Interaction of Analysis, Geometry and Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] 受体ー配体反応に基づくパターン形成モデルの高次元定常解の存在と安定性2022
- Author(s)
  高木泉
- Organizer
  北海道大学MMCセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Travelling wave solutions of a reaction-diffusion-ODE system with S-hysteresis2022
- Author(s)
  Izumi Takagi
- Organizer
  International Conference on Nonlinear Analysis and Nonlinear Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Patterning and spatial heterogeneity2021
- Author(s)
  高木泉
- Organizer
  大連理工大学数学科学研究院線上報告会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Higher dimensional stationary solutions of a receptor-based model for pattern formation in developmental biology2021
- Author(s)
  高木泉
- Organizer
  南開大学陳省身数学研究所線上報告会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Steady States of the FitzHugh-Nagumo equations with non-diffusive activator and diffusive inhibitor2018
- Author(s)
  Izumi Takagi
- Organizer
  The Third Hale Conference on the Dynamics of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Steady States of the FitzHugh-Nagumo equations with non-diffusive activator and diffusive inhibitor2018
- Author(s)
  Izumi Takagi
- Organizer
  The Third Hale Conference on the Dynamics of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0128
[Presentation] 分岐点から遠く離れて2017
- Author(s)
  高木　泉
- Organizer
  拡散成分と非拡散成分が共存する反応拡散系がつくるパターン
- Place of Presentation
  東北大学理学研究科
- Year and Date
  2017-02-12
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Patterns generated by FitzHugh-Nagumo equations with nondiffusive activator and diffusive inhibitor2017
- Author(s)
  Izumi Takagi
- Organizer
  Stepping Stone Symposium on Theoretical and Numerical Analysis of PDEs 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Continua of stable discontinuous steady-states in receptor-based models of biological pattern formation2017
- Author(s)
  Izumi Takagi
- Organizer
  Conference on PDEs and Applications to Physical and Biological Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Patterns generated by FitzHugh-Nagumo equations with nondiffusive activator and diffusive inhibitor2017
- Author(s)
  Izumi Takagi
- Organizer
  Stepping Stone Symposium on Theoretical and Numerical Analysis of PDEs 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0128
[Presentation] Pattern formation by FitzHugh-Nagumo equations with non-diffusive activator and diffusive inhibitor2017
- Author(s)
  Izumi Takagi
- Organizer
  International Workshop on Nonlinear Analysis and Reaction-Diffusion Equaations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Control of patterns by way of spatial heterogeneity2017
- Author(s)
  Izumi Takagi
- Organizer
  International workshop on nonlinear elliptic and parabolic PDEs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Mathematical beauty of the activator-inhibitor system2016
- Author(s)
  Izumi Takagi
- Organizer
  日本数理生物学会2016年会
- Place of Presentation
  九州大学椎木ホール，福岡
- Year and Date
  2016-09-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Locator function for concentration points of singularly perturbed stationary solutions to a reaction-diffusion equation2016
- Author(s)
  Izumi Takagi
- Organizer
  The Second Workshop on Differential Geometry and Differential Equations
- Place of Presentation
  Renmin University of China, 北京, 中国
- Year and Date
  2016-11-14
- Invited
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Pattern formation in homogeneous media vs in heterogeneous media: Cutting and grafting experiments on hydra2016
- Author(s)
  Izumi Takagi
- Organizer
  日本数理生物学会2016年会
- Place of Presentation
  九州大学椎木ホール，福岡
- Year and Date
  2016-09-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Patterns generated by a nondiffusive activator and a diffusive inhibitor2016
- Author(s)
  Izumi Takagi
- Organizer
  Mathematics of Pattern Formation
- Place of Presentation
  Mathematical Research and Conference Center in Bedlewo, Poland
- Year and Date
  2016-09-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Influence of spatial heterogeneity on a reaction-diffusion-ODE system2016
- Author(s)
  Izumi Takagi
- Organizer
  JSMB 2016 annual meeting
- Place of Presentation
  九州大学
- Year and Date
  2016-09-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] 受容体・結合子反応モデルについての一考察2015
- Author(s)
  高木　泉
- Organizer
  Turing機構に関連するパターンとダイナミクス
- Place of Presentation
  広島大学
- Year and Date
  2015-12-19
- Invited
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] 点凝集現象を起こす反応拡散系のパターンの制御2015
- Author(s)
  高木　泉
- Organizer
  九州関数方程式セミナー
- Place of Presentation
  福岡大学セミナーハウス
- Year and Date
  2015-01-16
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] A remark on the influence of spatial heterogeneity upon the formation of cell aggregates2015
- Author(s)
  Izumi Takagi
- Organizer
  Mini-workshop "Models of directional movement and their analysis"
- Place of Presentation
  東北大学，数理科学記念館
- Year and Date
  2015-03-27
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] 生物の形づくりの数理―Turingが残した課題―2015
- Author(s)
  高木　泉
- Organizer
  日本数学会2015年年会，企画特別講演
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-24
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Control of patterns by spatial heterogeneity2014
- Author(s)
  Izumi Takagi
- Organizer
  HeKKSaGOn Summer School in Goettingen Inference on Pattern Formation: Applications to Biology and Materials Science
- Place of Presentation
  Goettingen 大学，ドイツ
- Year and Date
  2014-09-20
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] 空間的不均一性に基づく点凝集パターンの制御2014
- Author(s)
  高木　泉
- Organizer
  岡山駅前セミナー：現象を捉える新しい数学的基盤の構築に向けて
- Place of Presentation
  岡山国際交流センター２階研修室
- Year and Date
  2014-12-13
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Role of spatial heterogeneity in pattern formation2014
- Author(s)
  Izumi Takagi and Hiroko Yamamoto
- Organizer
  Mini-Symposium "Challenges in mathematical modeling of pattern formation in developmental biology" in JSMB/SMB 2014 meeting
- Place of Presentation
  大阪コンベンションセンター
- Year and Date
  2014-07-30
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Movement of boundary spike solutions of a semilinear parabolic equation2014
- Author(s)
  高木泉
- Organizer
  PDE Seminar
- Place of Presentation
  Center for PDE, East China Normal University, Shanghai, China
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Pattern formation without Turing instability2014
- Author(s)
  Izumi Takagi
- Organizer
  Mini-workshop on Modeling, Simulations and Analysis of Pattern Formation
- Place of Presentation
  東北大学，数理科学記念館
- Year and Date
  2014-07-26
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Control of patterns by way of spatial heterogeneity2014
- Author(s)
  Izumi Takagi
- Organizer
  Symposium on Mathematical Approaches to Pattern Formation
- Place of Presentation
  東北大学，数理科学記念館
- Year and Date
  2014-10-30
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Movement of boundary spike solutions of a semilinear parabolic equation2014
- Author(s)
  Izumi Takagi
- Organizer
  PDE Seminar
- Place of Presentation
  Center for PDE, East China Normal University, Shanghai
- Year and Date
  2014-03-20
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] 空間的不均一性に基づく点凝集パターンの制御2014
- Author(s)
  高木　泉
- Organizer
  岡山駅前セミナー：現象を捉える新しい数学的基盤の構築に向けて
- Place of Presentation
  岡山国際交流センター, 岡山
- Year and Date
  2014-12-13
- Invited
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Dynamics of a boundary-spike solution on an invariant manifold to a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Asian Mathematical Conference
- Place of Presentation
  BEXCO,Busan,Korea
- Year and Date
  2013-07-01
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Point-condensation phenomenon in a reaction-diffusion system: geometry of domain vs heterogeneity of media2013
- Author(s)
  Izumi Takagi
- Organizer
  Pacific Rim Conference on Mathematics 2013
- Place of Presentation
  札幌
- Year and Date
  2013-07-03
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] On the movement of a boundary-spike solution of a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Applied and Computational Mathematics Seminar
- Place of Presentation
  University of California, Irvine,米国
- Year and Date
  2013-03-11
- Data Source
  KAKENHI-PROJECT-21654024
[Presentation] Point-condensation phenomenon in a reaction-diffusion system: geometry of domain vs heterogeneity of media2013
- Author(s)
  高木泉
- Organizer
  Pacifc Rim Conference on Mathematics 2013
- Place of Presentation
  Sapporo, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] On the movement of a boundary-spike solution of a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Applied and Computational Mathematics
- Place of Presentation
  University of California,Irvine,USA
- Year and Date
  2013-03-11
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Dynamics of a boundary-spike solution on an invariant manifold to a semilinear parabolic equation2013
- Author(s)
  高木泉
- Organizer
  Asian Mathematical Conference
- Place of Presentation
  Busan, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Point-condensation for a reaction-diffusion system in heterogeneous media2013
- Author(s)
  Izumi Takagi
- Organizer
  A mini-symposium on pattern formation
- Place of Presentation
  Lorentz Center, Leiden University
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] Point-condensation phenomenon in a reaction-diffusion system : geometry of domain vs. heterogeneity of media2013
- Author(s)
  Izumi Takagi
- Organizer
  Pacific Rim Conference on Mathematics 2013
- Place of Presentation
  Sapporo Convention Center, 札幌市
- Year and Date
  2013-07-03
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Dynamics of a boundary-spike solution on an invariant manifold to a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Asian Mathematical Conference
- Place of Presentation
  Busan, Korea
- Year and Date
  2013-07-01
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] Point-condensation phenomenon in a reaction-diffusion system: geometry of domain vs heterogeneity of media2013
- Author(s)
  Izumi Takagi
- Organizer
  Pacific Rim Conference on Mathematics 2013
- Place of Presentation
  Sapporo, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] What Turing anticipated in 1952-一Impacts on mathematics2012
- Author(s)
  Izumi Takagi, Eiji Yanagida
- Organizer
  Turing Symposium on Morphogenesis
- Place of Presentation
  仙台市国際センター, 仙台市
- Year and Date
  2012-08-27
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Introduction to a free boundary problem in crystal growth2011
- Author(s)
  Izumi Takagi
- Organizer
  Complex Analysis Approaches to Free Boundary Problems
- Place of Presentation
  仙台国際センター,宮城県
- Year and Date
  2011-12-13
- Data Source
  KAKENHI-PROJECT-21654024
[Presentation] Collapse of patterns in activator-inhibitor systems2010
- Author(s)
  I.Takagi
- Organizer
  Fourth International Conference on Recent Advances in Applied Dynamical Systems
- Place of Presentation
  浙江師範大学,金華,中国
- Year and Date
  2010-06-19
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] "Where's the peak?":極大点の在処を求めて2010
- Author(s)
  高木泉
- Organizer
  数学の展開…諸分野との連携を探る
- Place of Presentation
  東北大学理学部
- Year and Date
  2010-11-28
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Breakdown of pattern formation in activator-inhibitor systems and unfolding of a singular equilibrium2010
- Author(s)
  Izumi Takagi
- Organizer
  Partial Differential Equations in Mathematical Biology
- Place of Presentation
  Bedlewo Conference Center,ポーランド
- Year and Date
  2010-09-13
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Attractors of an activator-inhibitor system in homogeneous media and an application2010
- Author(s)
  Izumi Takagi
- Organizer
  Dissipative Systems…Attractors and Global Behavior…
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-11-16
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Pattern formation on surfaces -from a biological point of views2010
- Author(s)
  Izumi Takagi
- Organizer
  The 5th Geometry Conference for Friendship of Japan and China
- Place of Presentation
  Okinawa Institute of Science and Technology, Okinawa
- Year and Date
  2010-01-29
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] On the effect of basic production terms on the dynamics of some activator-inhibitor systems2009
- Author(s)
  Izumi Takagi
- Organizer
  2^<nd> International Conference on Reaction-Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University, Taichung, Taiwan
- Year and Date
  2009-07-15
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] On the effect of basic production terms on the dynamics of some activatorinhibitor systems2009
- Author(s)
  Izumi Takagi
- Organizer
  2nd International Conference on Reaction-Diffusion Sys-tems and Viscosity Solutions
- Place of Presentation
  Providence University,Taichung
- Year and Date
  2009-07-15
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Movement of planar closed curves driven by bending energy2009
- Author(s)
  Izumi Takagi
- Organizer
  第26回九州における偏微分方程式研究集会
- Place of Presentation
  九州大学箱崎キャンパス国際ホール
- Year and Date
  2009-01-27
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Movement of planar closed curves by bending energy2008
- Author(s)
  高木泉
- Organizer
  The 4th Geometry Conference for the Friendship of China and Japan
- Place of Presentation
  Chern Institute of Mathematics, Nankai University, Tienjing, China
- Year and Date
  2008-12-23
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] ある種の反応拡散系におけるパターンの崩壊2008
- Author(s)
  高木泉
- Organizer
  2008年日本数学会秋季総合分科会応用数学分科会応用数学分科会
- Place of Presentation
  東京工業大学大岡山キャンパス
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Movement of planar closed curves by bending energy2008
- Author(s)
  高木泉
- Organizer
  The 4th Geometry Conference for the Friendship of China and Japan, Chern Institute of Mathematics, Nankai University,Tienjing, China
- Year and Date
  2008-12-23
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Collapse of patterns in some reaction-diffusion systems2008
- Author(s)
  高木泉
- Organizer
  第33回偏微分方程式論札幌シンポジウム
- Place of Presentation
  北海道大学理学部
- Year and Date
  2008-08-28
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Pattern formation by an activator-inhibitor system in non-uniform environment2006
- Author(s)
  高木泉
- Organizer
  Sixth East Asia PDE Conference, Wuhan University, China
- Year and Date
  2006-05-17
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] On the movement of a boundary-spike solution of a semilinear parabolic equation
- Author(s)
  Izumi Takagi
- Organizer
  Applied and Computational Mathematics Seminar
- Place of Presentation
  University of California, Irvine, 米国
- Invited
- Data Source
  KAKENHI-PROJECT-21654024
[Presentation] Movement of a solution having a single spike on the boundary of a semilinear parabolic equation
- Author(s)
  高木　泉
- Organizer
  American Mathematical Society Southeastern Section Meeting
- Place of Presentation
  New Orleans, 米国
- Invited
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Effect of the heterogeneity on the concentration point in the ground-state solution of a reaction-diffusion equation
- Author(s)
  H. Yamamoto (代表者), I. Takagi
- Organizer
  American Mathematical Society Southeastern Section Meeting
- Place of Presentation
  New Orleans 米国
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] From metaphors to models, or top-down vs. bottom-up approaches
- Author(s)
  I. Takagi
- Organizer
  2012 Summer School of the HeKKSaGOn Consortium "Crossing Borders: Unraveling Principles of Life with quantitative Tools"
- Place of Presentation
  Heidelberg, 独国
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] A Versatile Pattern Generator---from a Mathematical Point of View---
- Author(s)
  高木　泉
- Organizer
  Advanced Mathematical Sciences D "Pattern Formation: Legacy of Alan Turing"
- Place of Presentation
  川崎
- Invited
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Turing's unfinished project
- Author(s)
  Izumi Takagi
- Organizer
  PDE seminar
- Place of Presentation
  Center for Partial Differential Equations, East China Normal University, Shanghai, China
- Year and Date
  2015-03-09 – 2015-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] What Turing anticipated in 1952--Impacts on mathematics
- Author(s)
  高木　泉，柳田英二
- Organizer
  Turing Symposium on Morphogenesis--Mathematical Approaches Sixty Years after Alan Turing--
- Place of Presentation
  仙台
- Data Source
  KAKENHI-PROJECT-24654037

1. BANDO Shigetoshi (40165064)

# of Collaborated Projects: 17 results

# of Collaborated Products: 0 results
2. KATO Junji (80004290)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
3. NAGASAWA Takeyuki (70202223)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
4. SHIMAKURA Norio (60025393)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
5. NISHIKAWA Seiki (60004488)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
6. ARAI Hitoshi (10175953)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
7. HORIHATA Kazuhiro (10229239)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
8. YANAGIDA Eiji (80174548)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
9. IGARI Satoru (50004289)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
10. TACIZAWA Kazuya (80227090)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
11. SAITO Kazuyuki (60004397)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
12. MASUDA Kyuya (10090523)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
13. TSUTSUMI Yoshio (10180027)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
14. KOZONO Hideo (00195728)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
15. FUJIE Satsuro (00238536)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
16. KOTAKE Takeshi (30004427)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
17. ITO Hidekazu (90159905)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
18. OGAWA Takayoshi (20224107)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
19. ISHIDA Masanori (30124548)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
20. ISHIGE Kazuhiro (90272020)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
21. ODA Tadao (60022555)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
22. SATO Tokushi (00261545)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
23. EI Shin-ichiro (30201362)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
24. IIDA Masato (00242264)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
25. IKEDA Hideo (60115128)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
26. NINONMIYA Hiro (90251610)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
27. CHIHARA Hiroyuki (70273068)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
28. 会田茂樹 (90222455)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
29. MORITA Yasuo (20011653)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
30. UEYAMA Daishin (20304389)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
31. YAMADA Sumio (90396416)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
32. NAKAMURA Makoto (70312634)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
33. SUNADA Toshikazu (20022741)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
34. NAYATAMI Shin (70222180)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
35. URAKAWA Hajime (50022679)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
36. NISHIURA Yasumasa (00131277)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
37. MIZUMACHI Tetsu (60315827)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
38. OHTA Masahito (00291394)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
39. NAKANISHI Kenji (40322200)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
40. 堀田良之 (70028190)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
41. 中島啓 (00201666)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
42. 上之郷高志 (60124567)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
43. 井川満 (80028191)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
44. 鈴木香奈子 (10451519)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
45. MOCHIZUKI Atsuhi (10304726)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. TONEGAWA Yoshihiro (80296748)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. KAWASHIMA Shuichi (70144631)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. MISAWA Masashi (40242672)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. NAKASHIMA Kimie (10318800)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. YAMAMOTO Hiroko (10759153)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
53. NAKAGAWA Yasuhiro (90250662)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. YOSHIKAWA Atsushi (80001866)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. YAMAMOTO Masahiro (50182647)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. OKA Mutsuo (40011697)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. KOJIMA Sadayoshi (90117705)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. MIWA Tetsuji (10027386)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. IZEKI Hiroyasu (90244409)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. TAKEDA Masayoshi (30179650)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. NAGAI Hideo (70110848)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. HASEGAWA Fumio (70061926)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. KONNO Reiji (20061921)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. MORIMOTO Hiroko (50061974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. KATSURADA Masashi (80224484)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. KANEKO Satiomi (20061947)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. KUWAMURA Masataka (30270333)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
68. ARISAWA Mariko (50312632)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
69. KENMOTSU Katsuei (60004404)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
70. YANAGISAWA Taku (30192389)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
71. KOKUBU Hiroshi (50202057)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
72. TAKAOKA Hideo (10322794)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
73. MIZOGUCHI Noriko (00251570)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
74. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
75. SAKAMOTO Kunio (70089829)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
76. TACHIKAWA Atsushi (50188257)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
77. 今野一宏 (10186869)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
78. 長谷川浩司 (30208483)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
79. 中澤則之 (10227770)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. 佐藤篤 (30241516)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
81. 中村哲男 (90016147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
82. 岡部真也 (70435973)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
83. 小野薫 (20204232)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
84. 大島利雄 (50011721)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
85. 野口潤次郎 (20033920)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
86. 川久保勝夫 (50028198)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
87. 黒川信重 (70114866)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
88. 中野史彦 (10291246)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
89. 三宅正武 (70019496)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
90. 中村周 (50183520)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
91. 加藤義夫 (70023968)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
92. 亀山敦 (00243189)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
93. 福島正俊 (90015503)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
94. 高野恭一 (10011678)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
95. 梶谷邦彦 (00026262)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
96. 石村直之 (80212934)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
97. 中村正彰 (00017419)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
98. 稲葉寿 (80282531)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
99. 高橋勝雄 (90114529)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
100. 松村昭孝 (60115938)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
101. 林仲夫 (30173016)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
102. 難波誠 (60004462)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
103. 今井正幸 (60251485)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
104. LI Ying

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
105. 赤木剛朗

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
106. 長沢壮之

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

TAKAGI Izumi 高木 泉

高木 泉

Research Projects

Research Products

Co-Researchers

Behavior of nonstationary solutions to reaction-diffusion systems possessing continua of stationary solutionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Fundamental theory of reaction-diffusion equations with variable coefficients---a panorama in Turing's sightPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Physical and mathematical approaches to the deformation of vesicles---from contact to adhesion, fusion and buddingPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Control of patterns by multicomponent reaction-diffusion systems of degenerate typePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Turing's Diffusion-Driven-Instability Revisited-from a view point of global structure of solution setsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to SynthesisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematical analysis of dendritic crystal growthPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern FormationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

TAKAGI Izumi 高木泉

高木泉