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TAKAGI Izumi  高木 泉

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高木 泉

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Researcher Number 40154744
Other IDs
Affiliation (Current) 2023: 東北大学, 理学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2023: 東北大学, 理学研究科, 名誉教授
2016 – 2021: 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 … More
2010: 東北大学, 大学院・理工学研究科, 教授
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 / 集中現象 / 半線型楕円型方程式 / 半線型楕円型偏微分方程式 … More / 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 / 進行波解 / 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 / 受体-配体模型 / receptor-ligand 反応 / 安定定常解の連続体 / 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 / 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 / 非線形シュレディンガー方程式 / 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
  • Research Projects

    (61 results)
  • Research Products

    (114 results)
  • Co-Researchers

    (105 People)
  •  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
      高木 泉
    • Project Period (FY)
      2019 – 2022
    • 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

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2003 Other

All Journal Article Presentation

  • [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] 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] 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
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