OUCHI Sunao 大内忠

… Alternative Names

大内忠オオウチスナオ

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

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Study of structure of solution to partial differential equationsPrincipal Investigator

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OUCHI Sunao 大内忠

大内忠オオウチスナオ