TACHIKAWA Atsushi 立川篤

Researcher Number	50188257
Other IDs
Affiliation *help	2016 – 2018 : 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 … More
Review Section/Research Field	Principal Investigator Mathematical analysis / 解析学 / Global analysis / Basic analysis / Global analysis Except Principal Investigator 解析学 / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Mathematical analysis / Geometry / Geometry / Basic analysis
Keywords	Principal Investigator 変分問題 / 調和写像 / 正則性 / 変分法 / 部分正則性 / Non-standard growth / non-standard grwoth / Harmonic maps / p(x)-growth / 関数方程式論 … More Except Principal Investigator 調和写像 / 変分問題 / 変分法 / Willmore functional / 正則性 / 超曲面の発展方程式 / 双曲型偏微分方程式 / ヘルフリッヒ変分問題 / Helfrich variational problem / 消散項 / 分岐方程式 / 中心多様体 / 分岐理論 / 漸近値 / Kirchhoff方程式 / 関数系(system) / ウィルモア汎関数 / center manifold / bifurcation theory / bifurcation equation / フラクタル / 大域的可解性 / 双曲型方程式 / 自由境界問題 / stableーlike process / geometric evolution equations / ローレンツ多様体 / Crystal Lattices / weakly compact / 折り紙 / 減衰評価 / 微分幾何学 / 完全グラフ / 位相力学 / hyperbolic equations / 離散的勾配流 / カオス / analitic function / 漸近挙動 / 解の正則性 / ヘルフリッチ変分問題 / 非線形解析 / 粘性解 / Riesz homomorphism / 非線形偏微分方程式 / メビウス不変性 / ハーツホーン予想 / 幾何学的発展方程式 / 条件付勾配流 / フィンスラー計量 / 摩擦項 / 準線型方程式 / クレブシュ・ゴルダン係数 / gradient flow / 準線型双曲型方程式 / 極小部分集合 / ハミルトン系の周期解 / 双曲型微分方程式 / stationary distribution / asymptotic behavior / 減衰 / 因子分解 / Hadamard manifold / dissipative term / 変分公式 / Harmonic Map / Yang-Mills接続 / 一般化された回転超曲面 / 非線形放物型偏微分方程式 / エネルギー汎関数 / decay estimate / 勾配流 / 連続体力学 / 圧縮性流体方程式 / forcing term / 高木関数 / 正則曲線 / 内心定理 / holomorphic curve / nearly continuous / 線形波動方程式 / 一般化された超曲面 / limiting amplidude / value distribution / limiting amplitude / 分解定理 / 外力 / Evolution equations for hypersurfaces / 結晶格子 / 抽象波動方程式 / harmonic maps / quasilinear hyperbolic equation / regularity / Riesz space / 関数方程式論 / 低次元トポロジー / 大域解析学 / 分解されたメビウス・エネルギー / スペクトラル分解 / abstract wave equation / 複素フィンスラー幾何学 / spectral decomposition / 離散エネルギー / 時間離散化 / 山辺計量 / scrambled set / castrophe process / locally solid topology / 極小曲面 / Kirchhoff equations / 安定性 / linear wave equations / damping term / Riesj Space / pseudoーdifferential operator / harmonic marping / Variational Problems / メビウス・エネルギー / global solvability / 解析学 / 特異摂動問題 / フィンスラー多様体 / Differential Geometry / 熱方程式 Less

Research on the variational problems under various growth conditions on the functionalsPrincipal InvestigatorOngoing
- Principal Investigator
  
  立川篤
- 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 2017 2016 2015 2014 2013 2012 2011 2010 2008 2007 2005 2004 2003 Other

All Journal Article Presentation

[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
- DOI
  10.1007/s00229-016-0855-x
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400177
[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 : ?
- DOI
  10.1016/j.anihpc.2014.11.003
- Peer Reviewed / Open Access / Acknowledgement Compliant
- 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
- Open Access / Acknowledgement Compliant / 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
  
  CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  
  Volume : 50(1-2) Pages : 145-169
- DOI
  10.1007/s00526-013-0631-7
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-22540207, KAKENHI-PROJECT-26400177
[Journal Article] PARTIAL REGULARITY OF p(x)-HARMONIC MAPS2013
- Author(s)
  M.A. Ragusa, A. Tachikawa, and H. Takabayashi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume : 365(6) Pages : 3329-3353
- DOI
  10.1090/S0002-9947-2012-05780-1
- 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)
  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] $C^{1,\alpha}$-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] 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] 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] 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) 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) 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 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] 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] 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 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] 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] 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] 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
- 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 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・3
  
  Pages : 691-700
- 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] 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] 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] 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] 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 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 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 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)
  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 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] 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 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 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] 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
- 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 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 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] 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] 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 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 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
  
  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] 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] 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] 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
- Year and Date
  2014-03-17
- 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
- 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] 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] 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] 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] 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] 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] 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 spaces2008
- 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
  2008-09-19
- 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)
  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)
  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

1. NAGASAWA Takeyuki (70202223)

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TACHIKAWA Atsushi 立川 篤

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Research on the variational problems under various growth conditions on the functionalsPrincipal InvestigatorOngoing

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Research on the variational problems for the functionals with non-standard growthPrincipal Investigator

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

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Research on structures of solutions for geometric variational problemsPrincipal Investigator

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Research on the Regularity of Solutions for Geometric Variational ProblemsPrincipal Investigator

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

TACHIKAWA Atsushi 立川篤