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Tachikawa Atsushi  立川 篤

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TACHIKAWA Atsushi  立川 篤

立川 篤  タチカワ アツシ

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Researcher Number 50188257
Other IDs
Affiliation (Current) 2025: 東京理科大学, 創域理工学部数理科学科, 教授
Affiliation (based on the past Project Information) *help 2023: 東京理科大学, 創域理工学部数理科学科, 嘱託教授
2022: 東京理科大学, 理工学部数学科, 嘱託教授
2021: 東京理科大学, 理工学部数学科, 教授
2020: 東京理科大学, 理工学部数学科, 嘱託教授
2020: 東京理科大学, 理工学部数学科, 嘱託教授(非常勤) … More
2016 – 2019: 東京理科大学, 理工学部数学科, 教授
2011 – 2016: 東京理科大学, 理工学部, 教授
2010: 東京理科大学, 東京理科大学理工学部, 教授
2002 – 2008: Tokyo University of Science(T.U.S.), Faculty of Science and Technology, Professor, 理工学部, 教授
1997 – 2003: 東京理科大学, 理工学部, 助教授
1995: 静岡大学, 工学部, 助教授
1993 – 1994: 静岡大学, 教養部, 助教授
1991: 静岡大学, 教養部, 助教授
1988 – 1989: 静岡大学, 教養部, 助教授
1988: 慶應義塾大学, 商学部, 助手 Less
Review Section/Research Field
Principal Investigator
Mathematical analysis / 解析学 / Basic Section 12020:Mathematical analysis-related / Global analysis / Global analysis / Basic analysis
Except Principal Investigator
解析学 / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) … More / Mathematical analysis / Basic analysis / Geometry / Geometry Less
Keywords
Principal Investigator
変分問題 / p(x)-growth / 調和写像 / 解の正則性 / 正則性 / 弱解の正則性 / double phase / double phase functional / VMO / 部分正則性 … More / Harmonic maps / Non-standard growth / Φ-growth / partial regularity / non-standard growth / 関数方程式論 / non-standard grwoth / 解析学 / 変分法 / 変動する指数をもつ汎関数 / 変動指数 / 非標準的増大度 / Orlicz空間 / 変動指数を持つ汎関数 / Double phase / Partial regularity / Variational problems / 変分間題 / energy functional / Finsler manifold / regularity / Variattional Problems / エネルギー汎関数 / フィンスラー多様体 / 差分法 / Harmonic Maps / Discretization / Variational Method / p(x)-energy / boundary regularity / 偏微分方程式 / 非線形偏微分方程式 / p(x)-growth functional / Finsler多様体 / 関数方程式 / 解の漸近挙動 / マルコフ過程 / 擬微分作用素 / ヴァリフォルド / 弱解 / 双曲型微分方程式 / 離散的勾配流 … More
Except Principal Investigator
調和写像 / 変分問題 / bifurcation equation / bifurcation theory / center manifold / Helfrich variational problem / Willmore functional / 正則性 / 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 / Kirchhoff方程式 / 消散項 / 双曲型偏微分方程式 / 変分法 / 漸近値 / 関数系(system) / 分解定理 / 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 / 変分公式 / メビウス不変性 / メビウス・エネルギー / 一般化された回転超曲面 / gradient flow / geometric evolution equations / 安定性 / 条件付勾配流 / 勾配流 / 幾何学的発展方程式 / quasilinear hyperbolic equation / asymptotic behavior / damping term / abstract wave equation / 準線型方程式 / 減衰 / 準線型双曲型方程式 / 漸近挙動 / 摩擦項 / 抽象波動方程式 / Crystal Lattices / Variational Problems / Harmonic Map / Differential Geometry / Yang-Mills接続 / 熱方程式 / 非線形偏微分方程式 / 結晶格子 / 微分幾何学 / 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 / decay estimate / linear wave equations / spectral decomposition / forcing term / dissipative term / hyperbolic equations / global solvability / Kirchhoff equations / 減衰評価 / 線形波動方程式 / スペクトラル分解 / 外力 / 大域的可解性 / 高木関数 / フラクタル / scrambled set / カオス / 大域解析学 / 低次元トポロジー / 位相力学 / ハミルトン系の周期解 / 自由境界問題 / 圧縮性流体方程式 / 連続体力学 / 非線形放物型偏微分方程式 / 極小曲面 / 非線形解析 / 関数方程式論 / 解析学 / 特異摂動問題 / 双曲型方程式 / 解の正則性 / エネルギー汎関数 / 極小部分集合 / 複素フィンスラー幾何学 / フィンスラー計量 / ハーツホーン予想 / フィンスラー多様体 / 内心定理 / 折り紙 / 双曲型微分方程式 / 離散的勾配流 / holomorphic curve / 完全グラフ / 時間離散化 / 因子分解 / 正則曲線 / ローレンツ多様体 / 山辺計量 / value distribution / Riesz homomorphism / locally solid topology / Riesz space / pseudoーdifferential operator / stableーlike process / stationary distribution / castrophe process / limiting amplitude / Hadamard manifold / harmonic maps / analitic function / limiting amplidude / harmonic marping / nearly continuous / weakly compact / Riesj Space Less
  • Research Projects

    (24 results)
  • Research Products

    (80 results)
  • Co-Researchers

    (51 People)
  •  Research on variational problems for the functionals with variable exponentsPrincipal Investigator

    • Principal Investigator
      立川 篤
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tokyo University of Science
  •  Research on the variational problems under various growth conditions on the functionalsPrincipal Investigator

    • Principal Investigator
      Tachikawa Atsushi
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tokyo University of Science
  •  Research on the variational problems for the functionals with non-standard growthPrincipal Investigator

    • 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 problems

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

    • 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
  •  Nonlinear hyperbolic-parabolic singular perturbation

    • Principal Investigator
      YAMAZAKI Taeko
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo University of Science
  •  複素フィンスラー幾何学における調和写像論の構築

    • Principal Investigator
      西川 青季
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Asymptotic behavior for wave equations with damping term

    • Principal Investigator
      YAMAZAKI Taeko
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo University of Science
  •  Reserch on the stability of solutions of geometric evolution equation using group equivariance

    • 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
  •  Nonlinear partial differntial equations related to geometric variational problems

    • Principal Investigator
      NAITO Hisashi
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya 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
  •  Research on structures of solutions for geometric variational problemsPrincipal Investigator

    • 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
  •  フィンスラー多様体への調和写像とハーツホーン予想の証明

    • Principal Investigator
      西川 青季
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Research on the time global solutions for the partial differential equations of Kirchhoff type

    • Principal Investigator
      YAMAZAKI Taeko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo University of Science
  •  Research on the Regularity of Solutions for Geometric Variational ProblemsPrincipal Investigator

    • 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
  •  Research of Nonlinear Partial Differential Equations Using Variational Methods and Time-discretization Schemes (1999)Principal Investigator

    • 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
  •  解析関数の値分布論とその微分方程式への応用,並びにその関連分野の研究

    • Principal Investigator
      加藤 正公
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Shizuoka University
  •  時間離散化スキームと変分法を用いた双曲型微分方程式の研究Principal Investigator

    • Principal Investigator
      立川 篤
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Shizuoka University
  •  解析関数の値分布論とその微分方程式への応用,並びにその関連分野の研究

    • Principal Investigator
      加藤 正公
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Shizuoka University
  •  位相空間における関数空間・測度論とその関連分野の研究

    • Principal Investigator
      大野 武
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Shizuoka University
  •  gumpのある確率過程とその関連分野の研究

    • Principal Investigator
      根来 彬
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Shizuoka University
  •  位相空間における関数空間・測度論とその関連分野の研究

    • Principal Investigator
      大野 武
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Shizuoka University
  •  カオスとその関連分野の研究

    • Principal Investigator
      馬場 良和
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Shizuoka University
  •  変分問題と大域解解析学

    • Principal Investigator
      菊池 紀夫
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University

All 2024 2023 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2008 2007 2005 2004 2003 Other

All Journal Article Presentation

  • [Journal Article] Partial regularity of minimizers for double phase functionals with variable exponents2024

    • Author(s)
      Tachikawa Atsushi
    • Journal Title

      Nonlinear Differential Equations and Applications NoDEA

      Volume: 31 Issue: 2

    • DOI

      10.1007/s00030-023-00919-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03707
  • [Journal Article] Boundary regularity of minimizers of double phase functionals2020

    • Author(s)
      Tachikawa Atsushi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: - Issue: 1 Pages: 123946-123946

    • DOI

      10.1016/j.jmaa.2020.123946

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05337, KAKENHI-PROJECT-20K03707
  • [Journal Article] Regularity for minimizers for functionals of double phase with variable exponents2019

    • Author(s)
      Ragusa Maria Alessandra、Tachikawa Atsushi
    • Journal Title

      Advances in Nonlinear Analysis

      Volume: 9 Issue: 1 Pages: 710-728

    • DOI

      10.1515/anona-2020-0022

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05337
  • [Journal Article] Partial and full boundary regularity for non-autonomous functionals with Φ-growth conditions2019

    • Author(s)
      Giannetti Flavia、Passarelli di Napoli Antonia、Tachikawa Atsushi
    • Journal Title

      Forum Mathematicum

      Volume: 31 Issue: 4 Pages: 1027-1050

    • DOI

      10.1515/forum-2019-0039

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05337
  • [Journal Article] New challenges on the regularity of minimizers of functionals2018

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      JOURNAL OF CONVEX ANALYSIS

      Volume: 25

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05337
  • [Journal Article] Regularity results up to the boundary for minimizers of p(x)-energy with p(x)>12017

    • Author(s)
      Atsushi Tachikawa, Kunihiro Usuba
    • Journal Title

      MANUSCRIPTA MATHEMATICA

      Volume: 152 Issue: 1-2 Pages: 127-151

    • DOI

      10.1007/s00229-016-0855-x

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400177
  • [Journal Article] Partial regularity for minimizers of a class of non autonomous functionals with nonstandard growth2017

    • Author(s)
      Giannetti Flavia、Passarelli di Napoli Antonia、Ragusa Maria Alessandra、Tachikawa Atsushi
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 56 Issue: 6

    • DOI

      10.1007/s00526-017-1248-z

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05337
  • [Journal Article] Partial regularity results for non-autonomous functionals with Φ-growth conditions2017

    • Author(s)
      Falvia Giannetti, Antonia Passarelli di Napoli, Atsushi Tachikawa
    • Journal Title

      Annali di Matematica Pura ed Applicata. Series IV

      Volume: 196 Issue: 6 Pages: 2147-2165

    • DOI

      10.1007/s10231-017-0658-z

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05337
  • [Journal Article] Boundary regularity of minimizers of p(x)-energy functionals2016

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      Annales de l'Institut Henri Poincare (C) Non Linear Analysis

      Volume: ? Issue: 2 Pages: 451-476

    • DOI

      10.1016/j.anihpc.2014.11.003

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400177
  • [Journal Article] Partial regularity of p(x)-harmonic maps2015

    • Author(s)
      Maria Alessandra Rgusa, Atsushi Tachikawa
    • Journal Title

      RIMS Kokyuroku(数理解析研究所講究録)

      Volume: 1969

    • Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400177
  • [Journal Article] On the singular set of minimizers of p(x)−energies2014

    • Author(s)
      A. Tachikawa
    • Journal Title

      Carc. Val. Partial Differ. Equ.

      Volume: 50(1-2) Issue: 1-2 Pages: 145-169

    • DOI

      10.1007/s00526-013-0631-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207, KAKENHI-PROJECT-26400177
  • [Journal Article] $C^{1,\alpha}$-regularity of energy minimizing maps from a 2-dimentional domain into a Finsler space2013

    • Author(s)
      Atsushi Tachikawa
    • Journal Title

      Houston Journal of Mathematics

      Volume: 39

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] Partial regularity of p(x)-harmonic maps2013

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa, Hiroshi Takabayashi, (Maria Alessandra Ragusa)
    • Journal Title

      Transactions of America Mathematical Society

      Volume: 365

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] On interior regularity of minimizers of p(x)-energy functionals2013

    • Author(s)
      M.A. Ragusa and A. Tachikawa
    • Journal Title

      Nonlinear Anal.

      Volume: 93 Pages: 162-167

    • DOI

      10.1016/j.na.2013.07.023

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] C^1,α-regularity of energy minimizing maps from a 2-dimentional domain into aフィンスラーspace2013

    • Author(s)
      A. Tachikawa
    • Journal Title

      Houston J. Math.

      Volume: 39(4) Pages: 1175-1186

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] C1,α-Regularity of energy minimizing maps from a 2-dimensional domain into a Finsler space2013

    • Author(s)
      Atsushi Tachikawa (Atsushi Tachikawa)
    • Journal Title

      Houston Journal of Mathematics

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] Partial regularity of p(x)-harmonic maps2013

    • Author(s)
      M.A. Ragusa, A. Tachikawa, and H. Takabayashi
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 365(6) Issue: 6 Pages: 3329-3353

    • DOI

      10.1090/s0002-9947-2012-05780-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] Existence and regularity of weakly harmonic maps into a Finsler manifold with a special structure2012

    • Author(s)
      A. Tachikawa
    • Journal Title

      Bull. Lond. Math. Soc.

      Volume: 44(5) Issue: 5 Pages: 1020-1033

    • DOI

      10.1112/blms/bds030

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] Estimates of the derivatives of minimizers of a special class of variational integrals2011

    • Author(s)
      M.A. Ragusa and A. Tachikawa
    • Journal Title

      Discrete Contin. Dyn. Syst.

      Volume: 31(4) Issue: 4 Pages: 1411-1425

    • DOI

      10.3934/dcds.2011.31.1411

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] Estimates of the derivatives of minimizers of a special class of variational integrals2011

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      Discrete Contin.Dyn.Syst.Ser.A

      Volume: 31 Pages: 1411-1425

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Journal Article] Regularity of minimizers of some variational integrals with discontinuity2008

    • Author(s)
      Maria Alessandra Ragusa and Atsushi Tachikawa
    • Journal Title

      Z. Anal. Anwend Vol.27, No.4

      Pages: 469-482

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540199
  • [Journal Article] Regularity of minimizers of some variational integrals with discontinuity2008

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      Z. Anal. Anwend. 27

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540199
  • [Journal Article] On continuity of minimizers for certain quadratic growth functionals2005

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 691-700

    • NAID

      10017177729

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540173
  • [Journal Article] Partial regularity of the mimmizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      J. Lond. Math. Soc., II. Ser. 72

      Pages: 609-620

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540173
  • [Journal Article] Partial regularity of the miniraizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      Journal of the London Mathematical Society 72

      Pages: 609-620

    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] On continuity of minimizers for certain quadratic functionals2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 691-700

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540173
  • [Journal Article] On continuity of minimizers for certain quadratic functionals2005

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 691-700

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] On continuity of minimizers for certain quadratic functionals,2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      J.Math.Soc.Japan 57・3

      Pages: 691-700

    • Data Source
      KAKENHI-PROJECT-17540173
  • [Journal Article] Partial regularity of the minimizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      J.London Math.Soc. 72

      Pages: 609-620

    • Data Source
      KAKENHI-PROJECT-17540173
  • [Journal Article] Partial regularity of the minimizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      J. Lond. Math. Soc., II. Ser. 72-3

      Pages: 609-620

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540173
  • [Journal Article] On continuity of minimizers for certain quadratic Functionals2005

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      J.Math.Soc.Japan 57

      Pages: 691-700

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] Partial regularity of the minimizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      J.London Math.Soc. 72・3

      Pages: 609-620

    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On continuity of min-imizers for certain quadratic functionals2005

    • Author(s)
      M. A. Ragusa & A. Tachikawa
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 691-100

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On continuity of minimizers for certain quadratic functionals2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      J.Math.Soc.Japan 57・3

      Pages: 691-700

    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Partial regularity of the minimizers of quadratic functions with VMO coefficients2005

    • Author(s)
      M.A.Ragusa, Atsushi Tachikawa
    • Journal Title

      Journal of the London Mathematical Society 72・3

      Pages: 609-620

    • Data Source
      KAKENHI-PROJECT-17654010
  • [Journal Article] Partial regularity for the minimizer of quadratic functionals with VMO coefficients2005

    • Author(s)
      M. A. Ragusa, A. Tachikawa
    • Journal Title

      J. London Math. Soc.(2) 72

      Pages: 609-620

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540188
  • [Journal Article] On continuity of minimizers for certain quadratic growth functionals2005

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      Journal of the Mathematical Society of Japan 57

      Pages: 691-700

    • NAID

      10017177729

    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] Partial regularity for the minimizer of quadratic functional with VMO coefficients2005

    • Author(s)
      M. A. Regusa, A. Tachikawa
    • Journal Title

      J. London Math. Soc. (2) Vol.72(CONCERNED)

      Pages: 609-620

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540188
  • [Journal Article] On continuity of minimizers for certain quadratic functionals2005

    • Author(s)
      M. A. Ragusa & A. Tachikawa
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 691-700

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Partial regularity of the minimizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      J. Lond. Math. Soc., II. Ser. 72

      Pages: 609-620

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] Partial regularity of the minimizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      Maria Alessandra Ragusa, Atsushi Tachikawa
    • Journal Title

      J.Lond.Math.Soc., II.Ser. 72

      Pages: 609-620

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] On continuity of minimizers for certain quadratic functionals2005

    • Author(s)
      M.A.Ragusa, Atsushi Tachikawa
    • Journal Title

      Journal of the Mathematical Society of Japan 57・3

      Pages: 691-700

    • Data Source
      KAKENHI-PROJECT-17654010
  • [Journal Article] Partial regularity of the minimizers of quadratic functionals with VMO coefficients2005

    • Author(s)
      M. A. Ragusa & A. Tachikawa
    • Journal Title

      J. London Math. Soc. 72

      Pages: 609-620

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Partial regularity of the minimizers of quadratic functionalswith VMO coefficients2005

    • Author(s)
      M. A. Ragusa & A. Tachikawa
    • Journal Title

      J. London Math. Soc. 72

      Pages: 609-620

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Partial reguraliry of the minimizer of quadratic functionals with VMO coefficients2005

    • Author(s)
      Atsushi Tachikawa et al.
    • Journal Title

      J.London Math.Soc.(2) 72

      Pages: 609-620

    • Data Source
      KAKENHI-PROJECT-16540188
  • [Journal Article] Interior estimates in Campanato spaces related to quadratic functionals2004

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      京都大学数理解析研究所講究録 1405

      Pages: 54-65

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Interior estimates in Campanato spaces related to quadratic functionals2004

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      数理解析研究所講究録 1405

      Pages: 54-65

    • Data Source
      KAKENHI-PROJECT-15540214
  • [Journal Article] Interior estimates in Campanato spaces related to quadratic functionals2004

    • Author(s)
      M.A.Ragusa, Atsushi Tachikawa
    • Journal Title

      数理解析研究所講究録 1405

      Pages: 54-65

    • Data Source
      KAKENHI-PROJECT-14654011
  • [Journal Article] Interior estimates in Campanato spaces related to quadratic functional2004

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      Surikaisekikenkyusho Kokyuroku 1405

      Pages: 54-65

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] A partial regularity result for harmonic maps into Finsler manifolds2003

    • Author(s)
      A.Tachikawa
    • Journal Title

      Calc.Var.Partial Differential Equations 16

      Pages: 217-224

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] A partial regularity result for harmonic maps into Finsler manifolds2003

    • Author(s)
      A.Tachikawa
    • Journal Title

      Calc.Var.Partial Differential Equations 16(2)

      Pages: 217-224

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] A partial regularity result for harmonic maps into Finsler manifolds2003

    • Author(s)
      A.Tachikawa
    • Journal Title

      Calc.Var.Partial Differential Equations 16・2

      Pages: 217-224

    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] A partial Holder regularity result for harmonic maps into a Finsler manifold2003

    • Author(s)
      A.Tachikawa
    • Journal Title

      Surikaisekikenkyusho Kokyuroku 1347

      Pages: 167-178

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] A partial Holder regularity result for harmonic maps into a Finsler manifold2003

    • Author(s)
      A.Tachikawa
    • Journal Title

      京都大学数理解析研究所講究録 1347

      Pages: 167-178

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Regularity of minimizers of some variational integrals with discontinuity

    • Author(s)
      M.A.Ragusa, A.Tachikawa
    • Journal Title

      Z. Anal. Anwendungen (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Regularity of minimizers of some variational integrals with discontinuity

    • Author(s)
      M. A. Ragusa & A. Tachikawa
    • Journal Title

      Z. Anal. Anwendungen (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Regularity of minimizers of some variational integralswith discontinuity

    • Author(s)
      M. A. Ragusa & A. Tachikawa
    • Journal Title

      Z. Anal. Anwendungen (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Presentation] Some regularity results for minimizers of double phase functionals with variable exponents2024

    • Author(s)
      Atsushi Tachikawa
    • Organizer
      International workshop Regularity and Singularity for Geometric PDE and related topics -in honor of Professor Masashi Misawa’s 60th birthday-
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03707
  • [Presentation] Partial regularity of minimizers for double phase functionals with variable exponents2023

    • Author(s)
      立川 篤
    • Organizer
      東京理科大学理工学部数学科談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03707
  • [Presentation] Boundary regularity of minimizers of double phase functionals2021

    • Author(s)
      立川 篤
    • Organizer
      第46回偏微分方程式札幌シンポジウム
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03707
  • [Presentation] Boundary regularity of minimizers of double phase functionals2020

    • Author(s)
      Atsushi Tachikawa
    • Organizer
      Monday's Nonstandard Seminar 2020/21 (University of Warsaw, online seminar)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03707
  • [Presentation] Partial regularity results for minimizers of a class of functionals with nonstandard growth2018

    • Author(s)
      立川 篤
    • Organizer
      松山解析セミナー2018
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05337
  • [Presentation] Some regularity results for energy minimizing maps into Finsler manifolds2017

    • Author(s)
      Atsushi Tachikawa
    • Organizer
      Seminario di Analisi (ナポリ大学における公開セミナー)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05337
  • [Presentation] p(x)-エネルギーを最小化する写像の正則性について2015

    • Author(s)
      立川 篤
    • Organizer
      熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学黒髪南キャンパス 大学院自然科学研究科棟
    • Year and Date
      2015-03-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400177
  • [Presentation] PARTIAL REGULARITY OF MINIMIZERS FOR p(x)-ENERGY2015

    • Author(s)
      Atsushi Tachikawa
    • Organizer
      Seminario di Analisi
    • Place of Presentation
      Dipartimento di Matematica e Applicazioni “Renato Caccioppoli” Universit`a degli Studi di Napoli Federico II
    • Year and Date
      2015-10-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400177
  • [Presentation] p(x)-調和写像の正則性について2014

    • Author(s)
      立川 篤
    • Organizer
      日本数学会2014年度年会・関数方程式分科会・特別講演
    • Place of Presentation
      学習院大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] p(x)-調和写像の正則性について2014

    • Author(s)
      立川篤
    • Organizer
      日本数学会2014年度年会関数方程式分科会特別講演
    • Place of Presentation
      学習院大学
    • Year and Date
      2014-03-17
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] Partial regularity of p(x)-harmonic maps2012

    • Author(s)
      立川篤
    • Organizer
      RIMS研究集会"幾何学的偏微分方程式に対する保存則と正則性特異性の研究"
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-06-13
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] Partial regularity of p(x)-harmonic maps2012

    • Author(s)
      立川 篤 (立川 篤)
    • Organizer
      RIMS研究集会”幾何学的偏微分方程式に対する保存則と正則性特異性の研究"
    • Place of Presentation
      RIMS(京都大学数理解析研究所)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] p(x)-調和写像の正則性について2012

    • Author(s)
      立川篤
    • Organizer
      仙台小研究集会–西川青季教授定年退職記念–
    • Place of Presentation
      東北大学理学部数理科学記念館(川井ホール)
    • Year and Date
      2012-03-16
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] フィンスラー多様体への調和写像の部分正則性について2011

    • Author(s)
      立川篤
    • Organizer
      神楽坂解析セミナー
    • Place of Presentation
      東京理科大学神楽坂校舎
    • Year and Date
      2011-04-23
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] p(x)-調和写像の部分正則性について2011

    • Author(s)
      立川篤
    • Organizer
      北海道大学偏微分方程式セミナー
    • Place of Presentation
      北海道大学理学部3号館202教室
    • Year and Date
      2011-11-07
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] On the regularity of energy minimizing maps into Finsler manifolds2011

    • Author(s)
      立川篤
    • Organizer
      Workshop on Geometric Analysis, Sendai 2011
    • Place of Presentation
      東北大学理学部数学棟
    • Year and Date
      2011-02-23
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] On the regularity of harmonic maps from a 2 dimensionalリーマンmanifold into aフィンスラーmanifold2011

    • Author(s)
      立川篤
    • Organizer
      さいたま数理解析セミナー(第8回)
    • Place of Presentation
      埼玉大学大宮ソニックシティカレッジ
    • Year and Date
      2011-07-29
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] On the regularity of harmonic maps from a 2 dimensional Riemannian manifold into a Finsler manifold2011

    • Author(s)
      立川篤
    • Organizer
      さいたま数理解析セミナー
    • Place of Presentation
      埼玉大学大宮ソニックシティカレッジ
    • Year and Date
      2011-07-29
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] On the regularity of harmonic maps into Finsler manifolds2010

    • Author(s)
      立川篤
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      京都大学大学院理学研究科
    • Year and Date
      2010-12-18
    • Data Source
      KAKENHI-PROJECT-22540207
  • [Presentation] Partial regularity of harmonic maps into Finsler spaces2007

    • Author(s)
      A. Tachikawa
    • Organizer
      International conference "Variational Problems in Geometry"
    • Place of Presentation
      仙台国際センター
    • Year and Date
      2007-09-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540188
  • [Presentation] Partial regularity of harmonic maps into Finsler spaces2007

    • Author(s)
      Atushi Tachikawa
    • Organizer
      International Conference 'Variational Problems in Geometry'
    • Place of Presentation
      仙台国際センター
    • Year and Date
      2007-09-19
    • Data Source
      KAKENHI-PROJECT-19540199
  • [Presentation] Partial regularity for the minimizer of harmonic maps into Finsler spaces2007

    • Author(s)
      A. Tachikawa
    • Organizer
      International conferences "Variational Problems in Geometry
    • Place of Presentation
      SENDAI
    • Year and Date
      2007-09-19
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540188
  • [Presentation] Partial regularity of harmonic maps into Finsler spaces2007

    • Author(s)
      立川 篤
    • Organizer
      International Conference"Variational Problems in Geometry"
    • Place of Presentation
      仙台国際センター
    • Year and Date
      2007-09-19
    • Data Source
      KAKENHI-PROJECT-19540199
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    # of Collaborated Projects: 1 results
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  • 39.  松山 登喜夫 (70249712)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  菊池 紀夫 (80090041)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  林 喜代司 (00102004)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  石井 一平 (90051929)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  谷 温之 (90118969)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  細尾 敏男 (30130339)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  浜畑 芳紀 (90260645)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  吾郷 孝視 (60112893)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  松田 真美 (90339127)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  笹原 康浩 (90235292)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  Maria Alessandra Ragusa
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  Antonia Passarelli di Napoli
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  Flavia Giannetti
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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