OUCHI Sunao 大内忠

… Alternative Names

大内忠オオウチスナオ

Less

Researcher Number	00087082
Affiliation (based on the past Project Information) *help	1996 – 2010: 上智大学, 理工学部, 教授 1989 – 1994: 上智大学, 理工学部, 教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis Except Principal Investigator 解析学 / Basic analysis / Basic analysis / Geometry
Keywords	Principal Investigator 漸近展開 / 複素偏微分方程式 / 形式解 / Gevrey estimate / multisummability / p-Laplace equation / generalized functions / formal solutions / asymptotic behavior / singularity of solutions … More / complex partial differential equations / 正定符号超関数 / 特異点をもつ解 / ゲルファントーシロフ空間 / CDF系 / Daubeschies Operator / Gevrey型誤差評価 / Gevrey評価 / 多重和可能 / p-ラプラス方程式 / 超関数 / 漸近挙動 / 解の特異点 / singularity / Asymptotic expansion / Partial differential equations in the complex domain / 複素編微分方程式 / 特異点 / 特異摂動 / ジュヴレイ族 / 特異解 … More Except Principal Investigator 複素領域 / 特異点 / complex domain / 漸近展開 / singularity / 正則解 / 偏微分方程式 / 特異摂動 / holomorphic solution / asymptotic analysis / 漸近解析 / 形式解 / 解析汎関数 / Fuchs型 / 錐に台をもつ超関数 / multi-summability / p楕円型 / Maillet / Briot-Bouquet / 積分表示 / 超関数 / フックス型 / differential equation / 微分方程式 / 変換の方程式 / 非線形偏微分方程式 / リ-球 / 双曲型偏微分方程式 / 代数的整数 / 複素球面 / 数式処理 / 複素力学系 / equation of transformation / formal solution / partial differential equation / stochastic complexity / distribution with support in a cone / A-elliptic / totally characteristic / Fuchsian equation / multi-summable / Borel summable / 熱核の方法 / 指数型超関数 / p楕円型方程式 / Borel総和可能 / nonlinear totally characteristic / 正の定符号型超関数 / 確定特異点型 / 形式級数解 / 確率的複雑さ / 全特性的 / フックス型方程式 / 多重総和可能 / ボレル総和可能 / analytic continuation / PDE / 解析接続 / multi summability / integral representation / 熱方程式 / 解の特異点 / 解の特異性 / Backlund変換 / Maillet型定理 / Fuchs型偏微分方程式 / 多重総和 / 特異性 / Fuchsiar type / linear PDE / nonlinear PDE / 確定特異点 / フーリエ変換 / フックス型偏微分方程式 / 線型偏微分方程式 / 非線型偏微分方程式 / nonlinear / saddle point / Stokes phenomenon / singular point / 非線形 / 鞍点 / ストークス現象 / Algebra / Integer theory / Computer / asymptotic Expansion / Singularity / Partial Differential Equation / Analytic Functional / Complex Manifold / フーリエ-ボレル変換 / ディリクレ級数 / フーリエ・ボレル変換 / 代数学 / 整数論 / 複素多様体 / 異種微分構造 / ゲージ理論的不変量 / ゲージ理論 / Seiberg-Witten不変量 / リッチフロー / アインシュタイン計量 / 合成積方程式 / 正則性 / 関数方程式 / ディジタル信号 / 調和関数 / フラクタル / 表現論 / 調和解析 / 古典群 / 特殊関数 / 対称空間 / 等質空間 / 積分変換 / 特異遍微分方程式 / 特異解 / 局所類体論 / 量子等質空間 / Briot・Bouquet微分方程式 / 特異解の積分表示 / ジュリア集合 / 素因数分解 / 因数分解 / 解の積分表示 / フックス型微分方程式 / 分岐現象 Less

Gauge theoretical approach to Einstein metrics and Ricci flow
- Principal Investigator
  
  ISHIDA Masashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Sophia University
A STUDY OF SINGULARITIES IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN THE COMPLEX DOMAIN
- Principal Investigator
  
  TAHARA Hidetoshi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Study of singularities of partial differential equations in the complex domain
- Principal Investigator
  
  TAHARA Hidetoshi
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Study of the structure of solutions of partial differential equations in the complex domainPrincipal Investigator
- Principal Investigator
  
  OUCHI Sunao
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Asymptotic analytical study of differential equations
- Principal Investigator
  
  UCHIYAMA Koichi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Study of singularities of solutions of partial differential equations in the complex domain
- Principal Investigator
  
  TAHARA Hidetoshi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Study on differential equations by asymptotic analysis
- Principal Investigator
  
  UCHIYAMA Koichi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SOPHIA UNIVERSITY
Study of singularities in partial differential equations
- Principal Investigator
  
  TAHARA Hidetoshi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Study on asymptotic analysis of differential equations
- Principal Investigator
  
  UCHIYAMA Koichi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Study of structure of solution to partial differential equationsPrincipal Investigator
- Principal Investigator
  
  OUCHI Sunao
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
漸近解析と微分方程式の研究
- Principal Investigator
  
  内山康一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
CONSTRUCTION OF ANALYSIS ON COMPLEX MANIFOLD
- Principal Investigator
  
  YOSINO Kunio, 森本光生
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  SOPHIA UNIVERSITY
複素多様体上の解析学の構築
- Principal Investigator
  
  森本光生
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
微分方程式の解のもつ性質の研究Principal Investigator
- Principal Investigator
  
  大内忠
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
微分方程式の漸近解析
- Principal Investigator
  
  内山康一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
等質空間の調和解析
- Principal Investigator
  
  高橋禮司
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
漸近解析の総合研究
- Principal Investigator
  
  UCHIYAMA Koichi
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
複素力学系の基礎研究
- Principal Investigator
  
  MORIMOTO Mitsuo
- Project Period (FY)
  1989 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Sophia University

All 2009 2008 2006 2005

All Journal Article Presentation

[Journal Article] The asymptotic bahavior of singular solutions of some nonlinear partial differenlial equations in the complex domain2008
- Author(s)
  Sunao Ouchi
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences 40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] The asymptotic behavior of singular solutions of some nonlinear partial differential equations in the complex domain.2008
- Author(s)
  Sunao Ouchi
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 44
  
  Pages: 973-1026
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540197
[Journal Article] Multisummability of formal power series solutions of nonlinear partial differential equations in the compex domain2006
- Author(s)
  S.Ouchi
- Journal Title
  
  Asymptotic Analysis 47
  
  Pages: 187-225
- Data Source
  KAKENHI-PROJECT-16540169
[Journal Article] Formal solutions of some nonlinear partial differential equations and their mutisummability2006
- Author(s)
  S.Ouchi
- Journal Title
  
  Asymptotic Analysis 47
  
  Pages: 187-226
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540169
[Journal Article] Formal solutions of some nonlinear partial Differential equations and their mutisummability2006
- Author(s)
  S.Ouchi
- Journal Title
  
  Asymptotic Analysis 47
  
  Pages: 187-226
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] Formal solutions of some nonlinear partial differential equations and their mutisummability2006
- Author(s)
  S.Ouchi
- Journal Title
  
  Asymptotic Analysis 47
  
  Pages: 187-226
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields2005
- Author(s)
  Sunao OUCHI
- Journal Title
  
  J.Math.Soc.Japan 57.2(to appear)
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields2005
- Author(s)
  S.Ouchi
- Journal Title
  
  J.Math.Soc.Japan (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Normal forms of some vector fields by transformations with Borel summable functions.2005
- Author(s)
  Sunao Ouchi
- Journal Title
  
  京都大学数理解析研究所講究録 1412
  
  Pages: 168-175
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields partial differential equations and normal forms of vector fields2005
- Author(s)
  S.Ouchi
- Journal Title
  
  J.Math.Soc.Japan 57
  
  Pages: 415-460
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] Normal forms of some vector fields by transformations with Borel summable functions2005
- Author(s)
  S.Ouchi
- Journal Title
  
  数理解析研究所講究録 1431
  
  Pages: 81-90
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540169
[Journal Article] Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields partial differential equations and normal forms of vector fields2005
- Author(s)
  Sunao OUCHI
- Journal Title
  
  J. Math. Soc. Japan 57.2
  
  Pages: 415-460
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] Formal power series solutions of nonlinear partial differential equations and their multisummability2005
- Author(s)
  S.Ouchi
- Journal Title
  
  京都大学数理解析研究所講究録 1431
  
  Pages: 81-90
- Data Source
  KAKENHI-PROJECT-16540169
[Journal Article] Borel summability of formal solutions of some first order singular patial differential equations and normal …2005
- Author(s)
  S.Ouchi
- Journal Title
  
  J.Math.Soc.Japan (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Borel summability of formal solutions of some first order singular partial differential equations in the complex domain2005
- Author(s)
  S.Ouchi
- Journal Title
  
  J.Math.Soc.Japan (To appear)
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields2005
- Author(s)
  S.Ouchi
- Journal Title
  
  J.Math.Soc.Japan 57-2
  
  Pages: 415-460
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540169
[Journal Article] Formal power series solutions of nonlinear partial differentia equations and their multisummability2005
- Author(s)
  Sunao Ouchi
- Journal Title
  
  京都大学数理解析研究所講究録 1431
  
  Pages: 81-90
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] Normal forms of vector fields by transformations with Borel summable functions2005
- Author(s)
  S.Ouchi
- Journal Title
  
  京都大学数理解析研究所講究録 1412
  
  Pages: 168-175
- Data Source
  KAKENHI-PROJECT-16540169
[Journal Article] Borel summability of formal solutions of some first order singular PDEs and normal forms of vector fields2005
- Author(s)
  S.Ouchi
- Journal Title
  
  J. Math. Soc. Japan 57・2
  
  Pages: 415-460
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540169
[Presentation] 1階非線形偏微分方程式の特性的な点の近傍での古典解の存在について2009
- Author(s)
  Sunao Ouchi
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-20540090

1. YOSHINO Kunio (60138378)

# of Collaborated Projects: 17 results

# of Collaborated Products: 0 results
2. UCHIYAMA Koichi (20053689)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
3. TAHARA Hidetoshi (60101028)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
4. MORIMOTO Mitsuo (80053677)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
5. HIRATA Hitoshi (20266076)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
6. 西沢清子 (90053686)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. GOTO Satoshi (00286759)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. YAMANE Hideshi (80286145)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. OKADA Yasunori (60224028)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. KANEYUKI Souji (40022553)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. SAITO Tomokatsu (00119132)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. AOYAGI Miki (90338434)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 関口晃司 (80163096)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 和田秀男 (10053662)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 高橋禮司 (80159003)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 篠田健一 (20053712)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 長野正 (10189144)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. KATO Masahide (90062679)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. ISHIDA Masashi (50349023)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. TSUZUKI Masao (80296946)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

OUCHI Sunao 大内 忠

大内 忠 オオウチ スナオ

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of the structure of solutions of partial differential equations in the complex domainPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of structure of solution to partial differential equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

微分方程式の解のもつ性質の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

OUCHI Sunao 大内忠

大内忠オオウチスナオ