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NAGASAWA Takeyuki  長澤 壯之

ORCIDConnect your ORCID iD *help
… Alternative Names

長澤 壮之  ナガサワ タケユキ

長澤 牡之  ナガサワ タケユキ

長澤 荘之  ナガサワ タケユキ

長沢 壯之  ナガサワ タケユキ

長沢 壮之  ナガサワ タケユキ

長澤 壯之  ナカ゛サワ タケユキ

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Researcher Number 70202223
Affiliation (Current) 2025: 埼玉大学, 理工学研究科, 教授
Affiliation (based on the past Project Information) *help 2011 – 2024: 埼玉大学, 理工学研究科, 教授
2016: 埼玉大学, 理学研究科, 教授
2014: 埼玉大学, 大学院理工学研究科, 教授
2013: 埼玉大学, 理学研究科, 教授
2007 – 2012: Saitama University, Graduate School of Science and Engineering, Professor … More
2007 – 2008: 埼玉大学, 大学院・理工学研究部, 教授
2006 – 2007: 埼玉大学, 理工学研究科, 教授
2006: 埼玉大学, 大学院理工学研究部, 教授
2002 – 2005: Saitarna Univ., Fac. of Science, Professor, 理学部, 教授
2002: 東北大学, 助教授
1995 – 2002: 東北大学, 大学院・理学研究科, 助教授
1999: 東北大学, 大学院・理学研究科, 教授
1997 – 1999: 東北大学, 理学研究科, 助教授
1998: 東北大学, 大学院理学研究科, 助教授
1995: 東北大学, 理学研究科, 助教授
1993 – 1994: 東北大学, 理学部, 助教授
1992: 東北大学, 教養部, 助教授
1990 – 1991: 東北大学, 教養部, 講師 Less
Review Section/Research Field
Principal Investigator
Global analysis / Mathematical analysis / Global analysis / 解析学 / Basic Section 12020:Mathematical analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Except Principal Investigator
解析学 / Basic analysis / Basic analysis / Global analysis … More / Geometry / Global analysis / Mathematical analysis / Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) Less
Keywords
Principal Investigator
正則性 / メビウス・エネルギー / 勾配流 / 変分問題 / 一意性 / 曲率流 / 分解エネルギー / bifurcation equation / bifurcation theory / center manifold … More / Helfrich variational problem / Willmore functional / 分岐方程式 / 分岐理論 / 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 / 分解定理 / 変分公式 / メビウス不変性 / 弱解 / ナヴィア・ストークス方程式 / 解の爆発 / 離散的勾配流 / 等周比 / 爆発レート / 爆発時刻 / 爆発解 / 非局所曲率流 / Sobolev多様体 / エネルギー / 絡み目 / 結び目 / 調和写像 / ガウス写像 / メビウス不変 / 絡み目のエネルギー / 結び目のエネルギー / Kusner-Sullivan予想 / 凸化 / 補間不等式 / 等周不等式 / 余弦公式 / O'Haraエネルギー / gradient flow / geometric evolution equations / 安定性 / 条件付勾配流 / 幾何学的発展方程式 / regularity / 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 / Uniqueness / Regurality / Weak solution / Energy inequality / Energy identity / Navier-Stokes equations / エネルギー不等式 / エネルギー等式 / 一般化された超曲面 / 離散エネルギー / 分解されたメビウス・エネルギー / 一般化された回転超曲面 / 曲げエネルギー / 大域存在 / 局所存在 / Helfrich流 / Lagrangeの未定乗数 / 制約条件 / 変分法 / 曲率 / 対称性 / レーリー予想 / 楕円型方程式 / 過剰決定系 / 漸近挙動 / 時間大域解 / 半線形双曲型偏微分方程式系 / Kneserの定理 / Widderの定理 / 熱方程式 / 自由境界 … More
Except Principal Investigator
安定性 / 調和写像 / 変分問題 / 非線形波動方程式 / 反応拡散系 / 特異摂動 / 正則性 / 非線形偏微分方程式 / パターン形成 / 反応拡散方程式系 / 適切性 / ベゾフ空間 / オイラー方程式 / VMO / numerical analysis / ergodic problem / homogenizations / mathematical finances / Hamilton-Jacobi-Bellman equation / viscosity solutions / optimal stochastic control / nonlinear partial differential equations / Harmonic maps / 解の正則性 / null condition / well-posedness / 初期値問題 / 半線型楕円型偏微分方程式 / 集中現象 / スパイク解 / p(x)-growth / non-standard grwoth / 弱解の正則性 / 定在波 / 変分法 / 孤立波 / 非線形シュレディンガー方程式 / 界面 / パターンの崩壊 / 反応拡散方程式 / モーメント / アダマール係数 / 共形ゲージ変換 / ソボレフ空間 / エネルギー不等式 / 時間大域解 / ストークス作用素 / 爆発解 / ソボレフの不等式 / 外部問題 / ナビエ・ストークス方程式 / 極小曲面 / 正則同値問題 / チューブ領域 / 複素有界領域 / bimodule / Reinhardt domain / Non-standard growth / Φ-growth / p(x)-energy / boundary regularity / partial regularity / non-standard growth / 関数方程式論 / Partial regularity / Variational problems / 変分間題 / 部分正則性 / 確率解析と非線形偏微分方程式の関わり / 非線形偏微分方程式の数値解析 / 変分法の数理生物学への応用 / 界面の発展方程式 / ハミルトンャコビベルマン方程式の数理ファイナンスへの応用 / ショックの現れる非線形一階偏微分方程式の解の存在と一意性 / 非線形熱方程式の解の安定性 / 非線形退化楕円型方程式の解の平滑性 / 偏微分方程式の数値解析 / エルゴード問題 / 最適制御理論 / 非完備金融市場モデル / 多重スケールモデル / ホモジェニゼイション / 数理ファイナンス / 粘性解理論 / 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 / energy functional / Finsler manifold / regularity / Variattional Problems / エネルギー汎関数 / フィンスラー多様体 / weak solution / initial value problem / modified KdV equation / global existence in time / Maxwell-Higgs equations / Dirac-Proca equations / 解の漸近挙動 / 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 / 初期値問題の適切性 / 修正KdV方程式 / 弱解 / 修正kdV方程式 / 時間大域存在 / Maxwell-Higgs方程式 / Dirac-Proca方程式 / harmonic map / Bezier curve / Delaunay surface / periodic surface of revolution / complex space form / mean curvature vector / constant mean curvature surface / minimal surface / グラフ / 格子モデル / 対称空間 / 全測地的部分多様体 / グラスマン幾何学 / 積分幾何学 / 極小ラグランジアン部分多様体 / Poincareの公式 / 多重Kaehler角度 / ウィルモア汎関数 / 周期的回転超曲面 / 周期的平均曲率 / エネルギー最小写像 / C-多様体 / 平均曲率一定 / ベジエ曲線 / デローネー回転面 / 周期的回転面 / 複素空間形 / 平均曲率ベクトル場 / 平均曲率一定曲面 / 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 / 同点値 / 基本解の末尾 / 因果的領域 / 計量的主要部 / 差分法 / Harmonic Maps / Discretization / Variational Method / stochastic differential equations / white noise / Cauchy problem / KdV equations / nonlinear wave equations / ヌルゲージ条件 / ゲージ不変性 / 非線型シュレディンガー方程式 / 概大域的存在 / ヘルマンダー予想 / 非線形クライン-ゴルドン方程式 / 零条件 / クライン-ゴルドン-ザハロフ方程式 / 伝播速度の異なる波の相互作用 / ストリッカーツの評価式 / 確率微分方程式 / KdV方程式 / 確立微分方程式 / ホワイトノイズ / kdv方程式 / Tangential Cauchy-Riemann equation / Futaki character / CR-structure / Torus action / Holomorphic automorphism group / Holomorphic equivalence problem / Complex bounded domain / 接コ-シ-・リーマン方程式 / アーベル多様体の退化 / 同変調和写像 / 接コーシー・リーマン方程式 / 二木指標 / CR構造 / トーラス作用 / ラインハルト領域 / 正則自己同型群 / exterior problem / Lorentz space / Stoker operator / singular integral operation / Fowwer transform / Inter polation space / Sobolur Space / Navier-Stokes Equations / 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 / BMO関数 / 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 / 特異積分作用素 / クーリエ変換 / 補間空間論 / 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 / 偏微分方程式 / 解析学 / p(x)-growth functional / Finsler多様体 / 関数方程式 / 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 / 特異摂動解 / 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 / 軌道安定性 / 非線形シュレデインガー方程式 / 不安定性 / 爆発 / Ostrovsky方程式 / 爆発問題 / 安定性解析 / 非線形波動 / 定在波解 / 非線形クライン・ゴルドン方程式 / 有限群 / 半整数9重さ9モジュラ形式 / ヤュビ形式 / ヤコビ形式 / ゼータ関数 / ジーゲルモジュラ形式 / 半整数の重さのモジュラ形式 / モジュラ形式 / 保型形式 / 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 / 幾何学的変分問題 / 非一様な媒質 / 進行波解 / 活性因子-抑制因子系 / 絶対平行性 / アフィン接続 / リース・ポテンシァル / 永久的ホイヘンス作用素 / 瞬間的ホイヘンス作用素 / 対数型一様評価 / 渦度 / ソレノイダルベクトル場 / BMO / 調和解析学 / 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 / L^p-L^q評価 / 基本解 / ストレステンソル / エネルギー減衰 / 条件付極値問題 / 赤血球膜 / 分岐 / 曲げエネルギー / 平均曲率 / ウィルモア汎函数 / Hopf algebra / fusion algebra / Takesaki duality / orbifold / Mackey theory / tensor category / 射影的正規性 / 定義イデアル / トーリック多様体 / 交叉性定理 / 剛性 / 部分多様体 / 超準的手法 / 逆数学 / 2階算術 / 数学基礎論 / 発展方程式 / ハンケル作用素 / ティープリッツ作用素 / ジョーンズ指数 / 形式群 / エータ関数 / リー群 / 符号数不足指数 / リーマン面の退化 / dominaut operators / M-byponormal operators / Fuglede′s theorem / class Y operators / Toeplitz operators / Hankel operators / 主束 / 等長変換群 / リーマン幾何 / parabolic equation / analytie Ramsey theorem / heat kernel / singular integral / hyponormality / Parabolic equation / Analytic Ramsey theorem / Bimodule / Graph network / Heat kernel / Hyponormality / Singular integral / Saturation / Nonlinear diffusion ineq. / Cusp singularity / Cyclic inequality / Matrix algebra / Nevanlinna class / たたみこみ / 特異積分 / ハ-ディ-空間 Less
  • Research Projects

    (46 results)
  • Research Products

    (129 results)
  • Co-Researchers

    (97 People)
  •  Analysis of variational problems in topological geometry using Sobolev manifoldsPrincipal Investigator

    • Principal Investigator
      Nagasawa Takeyuki
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Saitama University
  •  非単純閉曲線に対する幾何学流の爆発のメカニズム解明と漸近解析Principal Investigator

    • Principal Investigator
      長澤 壯之
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Saitama University
  •  Research on the Moebius energy by analytic methodPrincipal Investigator

    • Principal Investigator
      Nagasawa Takeyuki
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Saitama University
  •  Research on the variational problems for the functionals with non-standard growth

    • Principal Investigator
      Tachikawa Atsushi
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tokyo University of Science
  •  The generalized rotational hypersurfaces and their geomteric evolution problemsPrincipal Investigator

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Saitama University
  •  Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to Synthesis

    • 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
  •  Research on the regularity of solutions for nonlinear partial differential equations related to variational problems

    • Principal Investigator
      TACHIKAWA Atsushi
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo University of Science
  •  Analysis of gradient flow for the bending energy of plane curves under multiple constraintsPrincipal Investigator

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Saitama University
  •  Stability analysis on solitary wave solutions for systems of nonlinear wave equations

    • Principal Investigator
      OHTA Masahito
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern Formation

    • 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
  •  An arithmetic study of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  STUDIES ON STABILITY OF SOLITARY WAVES AND BLOWUP OF SOLUTIONS FORNONLINEAR WAVE EQUATIONS

    • Principal Investigator
      OHTA Masahito
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Reserch on the stability of solutions of geometric evolution equation using group equivariancePrincipal Investigator

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Saitama University
  •  Research on geometric evolution equations for hypersurfaoesPrincipal Investigator

    • 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
  •  Research on structures of solutions for geometric variational problems

    • Principal Investigator
      TACHIKAWA Atsushi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  ホイヘンス作用素の研究

    • Principal Investigator
      SHIMAKURA Norio
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Nonlinear elliptic and parabolic PDEs, theories and applications

    • Principal Investigator
      ARISAWA Mariko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • 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
  •  Autonomous Formation of Spatial Structures in Solutions of Parabolic Partial Differential Equations

    • 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
  •  Research on constant mean curvature surfaces

    • Principal Investigator
      KENMOTSU Katsuei
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • 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 equationsPrincipal Investigator

    • 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
  •  Research on the Regularity of Solutions for Geometric Variational Problems

    • Principal Investigator
      TACHIKAWA Atsushi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  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
  •  過剰決定系楕円型方程式の解の存在と領域の対称性に関する研究Principal Investigator

    • Principal Investigator
      長澤 壯之
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • 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
  •  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
      TAKAGI Izumi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Singularly perturbed solutions of reaction-diffusion systems and concentration phenomena

    • 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
  •  Study of group actions on complex manifolds

    • Principal Investigator
      SHIMIZU Satoru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
      The University of Tokyo
  •  Research of Nonlinear Partial Differential Equations Using Variational Methods and Time-discretization Schemes (1999)

    • Principal Investigator
      TACHIKAWA Atsushi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Science University of Tokyo
  •  部分多様体の剛性の研究

    • Principal Investigator
      剱持 勝衛
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  トーリック多様体とその部分多様体の研究

    • Principal Investigator
      尾形 庄悦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  関数解析学における組み合わせ構造

    • Principal Investigator
      山上 滋
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  離散的勾配流を用いた発展方法式の解の構成と正則性の研究Principal Investigator

    • Principal Investigator
      長澤 壯之
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  リーマン面の退化と実3次元多様体の研究

    • Principal Investigator
      尾形 庄悦
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tohoku University
  •  複測度有界領域の幾何

    • Principal Investigator
      清水 悟
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  算術の部分体系とそのモデルについての研究

    • Principal Investigator
      田中 一之
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University
  •  関数空間上の線形作用素の代数学的研究

    • Principal Investigator
      吉野 崇
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  自然な計量をもった主束の等長変換群

    • Principal Investigator
      高木 斉
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  非線形微分方程式の解の構造の研究Principal Investigator

    • Principal Investigator
      長澤 壮之
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  関数近似論における飽和理論の研究

    • Principal Investigator
      鈴木 義也
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  作用素の不等式とその応用

    • Principal Investigator
      吉野 崇
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  正則関数に関連した関数空間

    • Principal Investigator
      望月 望
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  特異積分作用素のノルム評価の研究

    • Principal Investigator
      内山 明人
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2003 Other

All Journal Article Presentation Book

  • [Book] 結び目のエネルギー:入門と最近の話題2022

    • Author(s)
      長澤 壯之
    • Total Pages
      63
    • Publisher
      大学院レクチャーノートシリーズ
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Book] 東北大学大学院理学研究科2011

    • Author(s)
      長澤壯之
    • Total Pages
      69
    • Publisher
      条件付き勾配流,大学院レクチャーノートシリーズTML25
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Book] 条件付き勾配流2011

    • Author(s)
      長澤壮之
    • Total Pages
      69
    • Publisher
      東北大学大学院理学研究科
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] A Mobius invariant discretization of O’Hara’s Mobius energy2022

    • Author(s)
      Blatt Simon、Ishizeki Aya、Nagasawa Takeyuki
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 31 Issue: 03

    • DOI

      10.1142/s021821652250016x

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Journal Article] Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number2021

    • Author(s)
      T. Nagasawa & K. Nakamura
    • Journal Title

      Math. Eng.

      Volume: 3 Issue: 6 Pages: 1-26

    • DOI

      10.3934/mine.2021047

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K20221
  • [Journal Article] Decomposition of generalized O'Hara's energies2021

    • Author(s)
      Aya Ishizeki, Takeyuki Nagasawa
    • Journal Title

      Math. Z.

      Volume: 298 Pages: 1049-1076

    • DOI

      10.1007/s00209-020-02601-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Journal Article] Upper and lower bounds and modulus of continuity of decomposed Mobius energies2021

    • Author(s)
      Aya Ishizeki, Takeyuki Nagasawa
    • Journal Title

      J. Geom. Anal.

      Volume: 31 Issue: 6 Pages: 5659-5686

    • DOI

      10.1007/s12220-020-00496-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Journal Article] Variational formulae and estimates of O'Hara's knot energies2020

    • Author(s)
      Shoya Kawakami, Takeyuki Nagasawa
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 29 Issue: 04 Pages: 2050016-2050016

    • DOI

      10.1142/s0218216520500169

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05310, KAKENHI-PROJECT-17K05261, KAKENHI-PROJECT-17H02843
  • [Journal Article] Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows2019

    • Author(s)
      Takeyuki Nagasawa, Kohei Nakamura
    • Journal Title

      Advances in Differential Equations

      Volume: 24 Pages: 581-608

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Journal Article] On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in Euclidean spaces, II2017

    • Author(s)
      Takeyuki Nagasawa
    • Journal Title

      Saitama Math. J.

      Volume: 31

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Journal Article] The L2-gradient of decomposed Mobius energies2016

    • Author(s)
      Aya Ishizeki, Takeyuki Nagasawa
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 55 Issue: 3 Pages: 1-31

    • DOI

      10.1007/s00526-016-0993-8

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15J09156, KAKENHI-PROJECT-25400156
  • [Journal Article] The invariance of the decomposed Mobius energies under the inversions with center on curves2016

    • Author(s)
      Aya Ishizeki、Takeyuki Nagasawa
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 26 Issue: 02 Pages: 1650009-1650009

    • DOI

      10.1142/s0218216516500097

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400156, KAKENHI-PROJECT-15J09156
  • [Journal Article] A decomposition theorem of the Moebius energy II: Variational formulae and estimates2015

    • Author(s)
      Aya Ishizeki and Takeyuki Nagasawa
    • Journal Title

      Math. Ann.

      Volume: 印刷中 Issue: 1-2 Pages: 617-635

    • DOI

      10.1007/s00208-015-1175-2

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-22244010, KAKENHI-PROJECT-25400156
  • [Journal Article] A decomposition theorem of the Moebius energy I: Decomposition and Moebius invariance2014

    • Author(s)
      Aya Ishizeki and Takeyuki Nagasawa
    • Journal Title

      Kodai Math. J.

      Volume: 37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Journal Article] A global model for impact of elastic shells and its numerical implementation2013

    • Author(s)
      Masaki Kazama, Seiro Omata, Takeyuki Nagasawa, Akira Kikuta, Karel Svadlenka
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 23 Pages: 93-108

    • Data Source
      KAKENHI-PROJECT-22244010
  • [Journal Article] Existence and uniqueness of the n-dimensional Helfrich flow2013

    • Author(s)
      T. Nagasawa
    • Journal Title

      Geometric Properties for Parabolic and Elliptic PDE's, Springer INdAM Series

      Volume: 2 Pages: 237-250

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] A global model for impact of elastic shells and its numerical implementation2013

    • Author(s)
      Masaki Kazama, Seiro Omata, Takeyuki Nagasawa, Akira Kikuta, Karel Svadlenka
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 23 Pages: 93-108

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Journal Article] Existence and uniqueness of the n-dimensional Helfrich flow2013

    • Author(s)
      T.Nagasawa
    • Journal Title

      Springer INdAM Series "Geometric Properties for Parabolic and Elliptic PDE's"

      Volume: 2 Pages: 237-250

    • DOI

      10.1007/978-88-470-2841-8_15

    • ISBN
      9788847028401, 9788847028418
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244010, KAKENHI-PROJECT-22540219
  • [Journal Article] Local existence and uniqueness for the n-dimensional Helfrich flow as a projected gradient flow2012

    • Author(s)
      T. Nagasawa
    • Journal Title

      Hokkaido Math. Journal

      Volume: 41 Pages: 209-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Local existence and uniqueness for the n-dimensional Helfrich flow as a projected gradient flow2012

    • Author(s)
      T. Nagasawa & T. Yi
    • Journal Title

      Hokkaido Math. J.

      Volume: 41 Pages: 209-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Local existence and uniqueness for the n-dimensional Helfrich flow as a projected gradient flow2012

    • Author(s)
      T.Nagasawa, T.Yi
    • Journal Title

      Hokkaido Math.J.

      Volume: 41(印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Asymptotic distribution of eigenvalues of Hill's equation with integrable potential under periodic condition2011

    • Author(s)
      T.Nagasawa, T.Ohrui
    • Journal Title

      Saitama Mathematical Journal

      Volume: 27 Pages: 1-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Journal Article] Asymptotic distribution of eigenvalues of Hill's equation with integrable potential under periodic condition2011

    • Author(s)
      T.Nagasawa, T.Ohrui
    • Journal Title

      Saitama Mathematical Journal

      Volume: 27 Pages: 1-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Gradient flow for theHelfrich variational problem2011

    • Author(s)
      T. Nagasawa
    • Journal Title

      変分問題の展開-幾何学的勾配流と臨界点理論の新潮流, 京都大学数理解析研究所考究録

      Volume: 1740 Pages: 11-23

    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Asymptotic distribution of eigenvalues of Hill's equation with integrable potential under periodic condition2011

    • Author(s)
      T. Nagasawa & T. Ohrui
    • Journal Title

      Saitama Mathematical Journal

      Volume: 27 Pages: 1-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Asymptotic distribution of eigenvalues of Hill's equation with integrable potential under periodic condition2010

    • Author(s)
      T.Nagasawa, H.Ohrui
    • Journal Title

      Saitama Math.J. 27(掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] How to unify the total/local-length-constraints of the gradient flow for the bending energy of plane curves2009

    • Author(s)
      Y. Miyamoto, T. Nagasawa, F. Suto
    • Journal Title

      Kybernetika 45(4)

      Pages: 615-624

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On the gradient flow for a shape optimization problem of plane curves as a singular limit2008

    • Author(s)
      T. Nagasawa
    • Journal Title

      Proc. Ryukoku Workshop 2007 : Recent Advances on Nonlinear Parabolic and Elliptic Differential Equations

      Pages: 64-73

    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On the gradient flow for a shape optimization problem of plane curves as a singular limit2007

    • Author(s)
      Tomohiko Kurihara and Takeyuki Nagasawa
    • Journal Title

      Saitama Mathematical Journal 24

      Pages: 43-75

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On the gradient flow for a shape optmization problem of plane curves as a SingUlar limit2007

    • Author(s)
      T. Kurihara & T. Nagasawa
    • Journal Title

      Saitama Math. J 24

      Pages: 43-75

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On the gradient flow for a shape optimization problem of plane curves as a singular limit2007

    • Author(s)
      T. Kurihara & T. Nagasawa
    • Journal Title

      Saitama Math. J. 24

      Pages: 43-75

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On the existence of solutions of the Helfrich flow and its center manifold near spheres2006

    • Author(s)
      Y.Kohsaka, T.Nagasawa
    • Journal Title

      Differential Integral Equations 19(2)

      Pages: 121-142

    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] On the existence of solutions of the Helfrich flow and its center manifold near spheres2006

    • Author(s)
      Y. Kohsaka & T, Nagasawa
    • Journal Title

      Differential Integral Equations 19

      Pages: 121-142

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On the existence of so-lutions of the Helfrich flow and its center manifold near spheres2006

    • Author(s)
      Y. Kohsaka & T, Nagasawa
    • Journal Title

      Differential Integral Equations 19

      Pages: 121-142

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On the existence of solutions of the Helfrich flow and its center manifold near spheres2006

    • Author(s)
      Y.Kohsaka, T.Nagasawa
    • Journal Title

      Differential Integral Equations 19・2

      Pages: 121-142

    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On the existence of solutions ofthe Helfrich flow and its center manifoldnear sheres2006

    • Author(s)
      Yoshihito Kohsawa and Takeyuki Nagasawa
    • Journal Title

      Differential IntegralEquations 19

      Pages: 121-142

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540013
  • [Journal Article] On the existence of solutions of the Helfrich flow and its center manifold near spheres2006

    • Author(s)
      Yoshihiko Kosaka, Takeyuki Nagasawa
    • Journal Title

      Differential and Integral Equations 19.2

      Pages: 121-142

    • Data Source
      KAKENHI-PROJECT-18540161
  • [Journal Article] On the existence of solutions of the Helfrich flow and itscenter manifold near spheres2006

    • Author(s)
      Yoshihito Kohsaka, Takeyuki Nagasawa
    • Journal Title

      Differential Integral Equations 19

      Pages: 121-142

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] On the existence of solutions of the Helfrich flow and Its center manifold near spheres2006

    • Author(s)
      Yoshihito Kohsaka, Takeyuki Nagasawa
    • Journal Title

      Differential Integral Equations 19

      Pages: 121-142

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540214
  • [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] On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces, I

    • Author(s)
      K.Kenmotsu, T.Nagasawa
    • Volume
      (印刷中)
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Existence and uniqueness of the n-dimensional Helfrich flow

    • Author(s)
      T.Nagasawa
    • Volume
      (印刷中)
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Journal Article] Gradient flow for the Helfrich variational problem

    • Author(s)
      T.Nagasawa
    • Journal Title

      京都大学数理解析研究所考究録

      Volume: 印刷中

    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] A new formulation of the variational problem of the Mobius energy (注: Mobiusのoはウムラウト付き)2024

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      International Workshop - Regularity and Singularity for Geometric PDE and related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] The Mobius energy for knots as a limit of that for links2023

    • Author(s)
      T. Nagasawa
    • Organizer
      Workshop Critical Exponent and Nonlinear Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] Mobiusエネルギーの分解と波動写像2023

    • Author(s)
      長澤 壯之
    • Organizer
      日本数学会2023年度年会函数方程式分科会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] Decomposition of the O'Hara energy2023

    • Author(s)
      T. Nagasawa
    • Organizer
      "Energies of Knots, Residues of Manifolds and Related Topics"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] 非局所曲率流の存在時間の下界評価と爆発レート2023

    • Author(s)
      長澤 壯之
    • Organizer
      日本数学会 2023年度年会
    • Data Source
      KAKENHI-PROJECT-23K20221
  • [Presentation] メビウス・エネルギーと調和写像2023

    • Author(s)
      長澤 壯之
    • Organizer
      研究集会「多様体上の微分方程式」
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] The relevance of the Mobius energy to harmonic maps (注: Mobiusのoはウムラウト付き)2023

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      発展方程式とその周辺 -エネルギー構造と解の定量的解析-
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] 結び目と絡み目に対するメビウス・エネルギーと波動写像2022

    • Author(s)
      長澤 壯之
    • Organizer
      九州関数方程式セミナー
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] The Mobius energies of knots and links: Decomposition, the cosine formula, and their Mobius invariance2022

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      The 13th Nagoya Workshop on Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] 結び目と絡み目Mobiusエネルギー: 分解定理、余弦公式とMobius不変性2022

    • Author(s)
      石関 彩、長澤 壯之
    • Organizer
      日本数学会 2022年度年会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] 絡み目のMobiusエネルギーの極限としての結び目のMobiusエネルギー2022

    • Author(s)
      石関 彩、長澤 壯之
    • Organizer
      日本数学会 2022年度年会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] 結び目と絡み目に対するエネルギーについて:分解定理、余弦公式とメビウス不変性2022

    • Author(s)
      長澤 壯之
    • Organizer
      RIMS共同研究(公開型)「偏微分方程式の臨界現象と正則性理論及び漸近解析」
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] 結び目と絡み目に対するメビウス・エネルギーのメビウス不変分解について2022

    • Author(s)
      長澤 壯之
    • Organizer
      第64回早稲田双曲幾何幾何学的群論セミナー
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] 結び目と絡み目に対するメビウス・エネルギーと波動写像2022

    • Author(s)
      長澤 壯之
    • Organizer
      第37回さいたま数理解析セミナー
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] Mobius energy for knots and links, and wave maps2022

    • Author(s)
      A. Ishizeki, T. Nagasawa
    • Organizer
      The 13th MSJ-SI "Differential Geometry and Integrable Systems": The 5th International Workshop Geometry of Submanifolds and Integrable Systems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18583
  • [Presentation] O'Haraエネルギーの変分公式の評価について2020

    • Author(s)
      川上 翔矢, 長澤 壯之
    • Organizer
      日本数学会 2020年度年会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] Asymptotic analysis for non-local curvature flows for plane curves with general rotation number2020

    • Author(s)
      T. Nagasawa
    • Organizer
      Mini-symposium: Nonlinear Geometric Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 分解されたMoebiusエネルギーの上界・下界と連続度評価2020

    • Author(s)
      石関 彩, 長澤 壯之
    • Organizer
      日本数学会 2020年度年会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 一般回転数の平面閉曲線に対する非局所曲率流の漸近解析2020

    • Author(s)
      長澤 壯之
    • Organizer
      応用解析研究会, 早稲田大学
    • Data Source
      KAKENHI-PROJECT-23K20221
  • [Presentation] 一般回転数の平面閉曲線に対する非局所曲率流の漸近解析2020

    • Author(s)
      長澤 壯之, 中村 恒平
    • Organizer
      日本数学会 2020年度年会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 解析学的手法による結び目のエネルギーへのアプローチ2019

    • Author(s)
      長澤 壯之
    • Organizer
      研究集会「微分方程式の総合的研究」
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 一般化されたO'Haraエネルギーに対する余弦公式2019

    • Author(s)
      長澤 壯之
    • Organizer
      第49回南大阪応用数学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 一般化されたO'Haraエネルギーに対する余弦公式2019

    • Author(s)
      長澤 壯之
    • Organizer
      日本数学会2019年度秋季総合分科会, 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] O'Haraエネルギー: 入門と最近の話題2019

    • Author(s)
      長澤 壯之
    • Organizer
      第41回発展方程式若手セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 一般回転数の平面閉曲線に対する非局所曲率流の漸近解析2019

    • Author(s)
      長澤 壯之
    • Organizer
      第15回非線型の諸問題
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] MoebiusエネルギーのMoebius不変な離散化と分解2018

    • Author(s)
      長澤 壯之
    • Organizer
      東京大学数値解析セミナー #107
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 一般化されたO'Haraエネルギーの分解とその帰結2018

    • Author(s)
      長澤 壯之
    • Organizer
      第16回浜松偏微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] Recent topics on O'Hara's energies of knots2018

    • Author(s)
      T. Nagasawa
    • Organizer
      Saga Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] メビウス・エネルギーの構造保存離散化と分解2018

    • Author(s)
      長澤 壯之
    • Organizer
      研究集会「数学と現象in長瀞」
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 一般化されたO'Haraエネルギーの分解について2018

    • Author(s)
      石関 彩, 長澤 壯之
    • Organizer
      日本数学会2018年度年会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] Interpolation between the isoperimetric ratio and curvature for plane curves and an application to curvature flows with non-local terms2018

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Viscosity Solutions and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] Large-time behavior of curvature flows with non-local terms for plane curves -- an application of interpolation between the isoperimetric ratio and curvature2018

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Salzburg University Analysis Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] Moebiusエネルギー: 入門と最近の話題2018

    • Author(s)
      長澤 壯之
    • Organizer
      界面現象の数理・モデリング研究合宿2018
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] A Moebius invariant descretization and decomposition of the Mobius energy2017

    • Author(s)
      T. Nagasawa
    • Organizer
      1st Workshop on Geometric Curvature Functionals and Discretization
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] A Moebius invariant descretization and decomposition of the Moebius energy2017

    • Author(s)
      T. Nagasawa
    • Organizer
      Recent Topics on Energy of Knots
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] MoebiusエネルギーのMoebius不変な離散化と分解2017

    • Author(s)
      長澤 壯之
    • Organizer
      第7回室蘭非線形解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] O'Haraエネルギーの分解とその帰結2017

    • Author(s)
      長澤 壯之
    • Organizer
      第7回室蘭非線形解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] 分解されたMoebiusエネルギーのMoebius不変なエネルギー密度による別表現2017

    • Author(s)
      S. Blatt, 長澤 壯之
    • Organizer
      日本数学会2017年度秋季総合分科会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] A Moebius invariant discretization and decoposition of Moebius energy2017

    • Author(s)
      長澤 壯之
    • Organizer
      Second Workshop on Mathematical Analysis on Nonlinear Phenomena
    • Place of Presentation
      慶應義塾大学 (神奈川県・横浜市)
    • Year and Date
      2017-01-21
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] MoebiusエネルギーのMoebius不変な離散化と分解2017

    • Author(s)
      S. Blatt, 長澤 壯之
    • Organizer
      日本数学会2017年度秋季総合分科会 函数方程式分科会
    • Data Source
      KAKENHI-PROJECT-17K05310
  • [Presentation] A Moebius invariant discretization and decoposition of Moebius energy2016

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Mathematisches Oberseminar Spezielle Probleme der Analysis
    • Place of Presentation
      RWTH Aachen University (ドイツ)
    • Year and Date
      2016-12-12
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] A Moebius invariant discretization and decoposition of Moebius energy2016

    • Author(s)
      Tekeyuki Nagasawa
    • Organizer
      Analysis Seminar
    • Place of Presentation
      Salzburg University (オーストリア)
    • Year and Date
      2016-12-14
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] A Moebius invariant decomposition of the Moebius energy2016

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Geometric Analysis-Seminar
    • Place of Presentation
      Freiburg University (ドイツ)
    • Year and Date
      2016-07-05
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] Analytic approaches to the Mobius energy: History and recent topics2015

    • Author(s)
      長澤 壯之
    • Organizer
      Pattern formation and interface dymanics
    • Place of Presentation
      京都大学数理解析研究所 (京都府)
    • Year and Date
      2015-01-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] 分解されたメビウス・エネルギーのメビウス不変性について2015

    • Author(s)
      石関 彩・長澤 壯之
    • Organizer
      日本数学会2015年度秋季総合分科会幾何学分会
    • Place of Presentation
      京都産業大学 (京都府京都市)
    • Year and Date
      2015-09-15
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] Decomposition of the Moebius energy and its consequences2015

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      The 32nd Kyushu Symposium on Partial Differential Equations
    • Place of Presentation
      九州大学,福岡
    • Year and Date
      2015-01-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Presentation] A decomposition of the Mobius enery and consequences2015

    • Author(s)
      Aya Ishizeki and Takeyuki Nagasawa
    • Organizer
      Geomteric Properties for Parabolic and Elliptic PDE's 4th Italian-Japanese Workshop
    • Place of Presentation
      Palinuro (イタリア)
    • Year and Date
      2015-05-25
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] Decomposition of the Mobius energy and its consequences2015

    • Author(s)
      長澤 壯之
    • Organizer
      The 32nd Kyushu Symposium on Partial Differential Equations
    • Place of Presentation
      九州大学 (福岡県)
    • Year and Date
      2015-01-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] A decomposition of the Mobius energy: Recent progress, consequences, and open problems2015

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Geometric Energies with Kinks to Applications, Topology and Open Problems
    • Place of Presentation
      Basel大学 (スイス)
    • Year and Date
      2015-09-02
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] A decomposition of the Mobius enery and consequences2015

    • Author(s)
      Aya Ishizeki and Takeyuki Nagasawa
    • Organizer
      Geometric Energies with Kinks to Applications, Topology and Open Problems
    • Place of Presentation
      Basel大学 (スイス)
    • Year and Date
      2015-08-31
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] 分解されたメビウス・エネルギーの変分公式とその評価2014

    • Author(s)
      石関 彩・長澤 壯之
    • Organizer
      日本数学会函数方程式分科会
    • Place of Presentation
      広島大学 (広島県)
    • Year and Date
      2014-09-26
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] Decomposition of Moebius energy and Moebius invariance of decomposed energies2014

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Mathematical Approaches to Pattern Formation
    • Place of Presentation
      東北大学,仙台
    • Year and Date
      2014-10-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Presentation] Variational formulae and estimates for decomposed Mobius energies2014

    • Author(s)
      長澤 壯之
    • Organizer
      Shapes and other properties of solutions of PDEs
    • Place of Presentation
      京都大学数理解析研究所 (京都府)
    • Year and Date
      2014-11-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] メビウス・エネルギーの分解定理:幾何学的意味と解析的効用2014

    • Author(s)
      長澤 壯之
    • Organizer
      東京大学応用解析セミナー
    • Place of Presentation
      東京大学 (東京都)
    • Year and Date
      2014-07-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] Variational formulae and estimates for decomposed Moebius energies2014

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Shapes and other properties of solutions of PDEs
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2014-11-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Presentation] A decomposition theorem of the Mobius energy II: Variational formulas and their estimates2014

    • Author(s)
      長澤 壯之
    • Organizer
      Variational Problems and Nonlinear Partial Differential Equations
    • Place of Presentation
      東京理科大学 (千葉県)
    • Year and Date
      2014-09-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] メビウス・エネルギーの分解定理:幾何学的意味と解析的効用2014

    • Author(s)
      長澤 壯之
    • Organizer
      九州大学幾何セミナー
    • Place of Presentation
      九州大学 (福岡県)
    • Year and Date
      2014-05-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] Decomposition of Mobius energy and Mobius invariance of decomposed energies2014

    • Author(s)
      長澤 壯之
    • Organizer
      Mathematical Approaches to Pattern Formation
    • Place of Presentation
      東北大学 (宮城県)
    • Year and Date
      2014-10-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] メビウス・エネルギーの分解定理:幾何学的意味と解析的紅葉2014

    • Author(s)
      長澤壯之
    • Organizer
      東京大学応用解析セミナー
    • Place of Presentation
      東京大学,東京
    • Year and Date
      2014-07-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Presentation] 与えられた関数を平均曲率に持つEuclid空間内の一般化された回転超曲面の大域的存在について2012

    • Author(s)
      長澤 壯之
    • Organizer
      研究集会「界面と数理の幾何解析」
    • Place of Presentation
      芝浦工業大学(埼玉県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] 与えられた関数を平均曲率に持つEuclid空間内の一般化された回転超曲面の大域的存在について2012

    • Author(s)
      長澤壯之
    • Organizer
      研究集会「界面と数理の幾何解析」
    • Place of Presentation
      芝浦工業大学この結果を引き継ぎ、当初の予想の解明に
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces2011

    • Author(s)
      長澤壮之
    • Organizer
      Workshop on Differential Geometry and Geometric Analysis
    • Place of Presentation
      東北大学大学院理学研究科(宮城県)
    • Year and Date
      2011-12-20
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] Existence and uniquenessof the n-dimensional Helfrich flow, INdAM Workshop (Second Italian-Japanese Workshop)2011

    • Author(s)
      T. Nagasawa
    • Organizer
      Geometric Properties for Parabolic and Elliptic PDE's
    • Place of Presentation
      Palazzone in Cortona (イタリア)
    • Year and Date
      2011-06-23
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] Existence and uniqueness of the n-dimensional Helfrich flow2011

    • Author(s)
      T.Nagasawa
    • Organizer
      INdAM Workshop (Second Italian-Japanese Workshop) "Geometric Properties for Parabolic and Elliptic PDE's"
    • Place of Presentation
      Palazzone in Cortona(イタリア)
    • Year and Date
      2011-06-23
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces2011

    • Author(s)
      長澤壯之
    • Organizer
      Workshop on Differential Geometry and Geometric
    • Place of Presentation
      東北大学
    • Year and Date
      2011-12-20
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] The n-dimensional Henfrich flow2010

    • Author(s)
      長澤壮之
    • Organizer
      International Workshop on PDE "Concentration and Related Topics in Nonlinear Problems"
    • Place of Presentation
      東北大学大学院理学研究科
    • Year and Date
      2010-11-22
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] The n-dimensional Helfrich flow2010

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      International Workshop on PDE "Concentration and Related Topics in Nonlinear Problems"
    • Place of Presentation
      東北大学理学部
    • Year and Date
      2010-11-22
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Presentation] n-dimensional Henfrich flow2010

    • Author(s)
      長澤壯之
    • Organizer
      The Sixth "Topics in Nonliner Problems"
    • Place of Presentation
      山口大 学理学部
    • Year and Date
      2010-09-18
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] Gradient flow for the Helfrich variational problem2010

    • Author(s)
      長澤壯之
    • Organizer
      New Trends of Variational Problems
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-06-07
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Presentation] n-dimensional Helfrich flow2010

    • Author(s)
      長澤壯之
    • Organizer
      The Sixth "Topics in Nonlinear Problems"
    • Place of Presentation
      山口大学理学部
    • Year and Date
      2010-09-18
    • Data Source
      KAKENHI-PROJECT-22244010
  • [Presentation] Gradient flow for the Helfrich variational problem2010

    • Author(s)
      長澤壯之
    • Organizer
      New Trends of Variational Problems
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-06-07
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] The n-dimensional Henfrich flow2010

    • Author(s)
      長澤壯之
    • Organizer
      International Workshop on PDE "Concentration and Related Topics inNonlinear Problems"
    • Place of Presentation
      東北大学大学院理学研究科
    • Year and Date
      2010-11-22
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] n-dimensional Henfrich flow2010

    • Author(s)
      長澤壮之
    • Organizer
      The Sixth " Topics in Nonliner Problems"
    • Place of Presentation
      山口大学理学部
    • Year and Date
      2010-09-18
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] Constrained gradient flows of bending energy for plane curves : Total-length constraint versus local-length constraint2009

    • Author(s)
      T. Nagasawa
    • Organizer
      国際研究集会「Variational Problems for Curves and Surfaces and Related Topics」
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2009-07-02
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] Constrained gradient flows of bending energy for plane curves : Total-length constraint versus local-length constaint2009

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Variational Problems for Curves and Surfaces and Related Topics
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2009-07-02
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] How to unify the total/local length-constraints of the gradient flow for the bending energy of plane curves2008

    • Author(s)
      長澤壯之
    • Organizer
      Czech-Japanese Seminar in Applied Math ematics 2008
    • Place of Presentation
      宮崎
    • Year and Date
      2008-09-02
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] 条件付変分問題 : Lagrangeの未定乗数法と勾配流I・II2008

    • Author(s)
      長澤壯之
    • Organizer
      Encounter with Mathematics第46回幾何学的変分問題
    • Place of Presentation
      中央大学
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] On the gradient flow for a shape optimization problem of plane curves as a singular limit2007

    • Author(s)
      長澤壯之
    • Organizer
      Recent Advances on Nonlinear Parabolic and Elliptic Differential Equations
    • Place of Presentation
      龍谷大学瀬田キャンパス
    • Year and Date
      2007-12-05
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] On the evolution equation for a shape optimization promlem and its singular limit2007

    • Author(s)
      T. Nagasawa
    • Organizer
      Annual meeting of Japan Mathe-matical Society
    • Place of Presentation
      Saimata Univ
    • Year and Date
      2007-03-28
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Presentation] あるshape optimization problemに対する発展方程式とその特異極限2007

    • Author(s)
      長澤壯之
    • Organizer
      日本数学会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Presentation] メビウス・エネルギーの分解定理:幾何学的意味と解析的効用

    • Author(s)
      長澤 壯之
    • Organizer
      応用解析研究会
    • Place of Presentation
      早稲田大学
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] メビウス・エネルギーの分解定理:幾何学的意味と解析的効用

    • Author(s)
      長澤 壯之
    • Organizer
      山口大学講演会
    • Place of Presentation
      山口大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] メビウス・エネルギーの分解とメビウス不変性について

    • Author(s)
      長澤 壯之
    • Organizer
      日本数学会 幾何学分科会
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] A decomposition theorem of the Möbius energy II: Variational formulas and their estimates

    • Author(s)
      Takeyuki Nagasawa
    • Organizer
      Curvature-Application-Knots-Energies
    • Place of Presentation
      Max Planck Instiute (ドイツ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400156
  • [Presentation] 与えられた関数を平均曲率に持つEuclid空間内の一般化された回転超曲面の大域的存在について

    • Author(s)
      長澤 壯之
    • Organizer
      日本数学会
    • Place of Presentation
      九州大学(福岡県)
    • Data Source
      KAKENHI-PROJECT-22540219
  • [Presentation] メビウス・エネルギーの分解と変分公式について

    • Author(s)
      長澤 壯之
    • Organizer
      日本数学会 函数方程式分科会
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-25400156
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