UCHIYAMA Koichi 内山康一

… Alternative Names

UCHIYAMA Kouichi 内山康一

内山康一ウチヤマコウイチ

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Researcher Number	20053689
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2009: 上智大学, 理工学部, 名誉教授 1997 – 2007: 上智大学, 理工学部, 教授 1992 – 1996: 上智大学, 理工学部, 助教授 1990: 上智大学, 理工学部, 助教授 1988: 上智大学, 理工学部数学科, 助教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic analysis Except Principal Investigator 解析学 / Basic analysis / Basic analysis / Geometry / 代数学・幾何学
Keywords	Principal Investigator 漸近展開 / 特異摂動 / asymptotic analysis / 漸近解析 / 複素領域 / Fuchs型 / 錐に台をもつ超関数 / multi-summability / p楕円型 / Maillet … More / Briot-Bouquet / differential equation / complex domain / 微分方程式 / 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 / 非線形偏微分方程式 / 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 / multi summability / integral representation / singularity / 熱方程式 / 超関数 / 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 / 積分表示 / 特異性 / nonlinear / saddle point / Stokes phenomenon / singular point / 非線形 / 鞍点 / ストークス現象 / 特異点 / 指数型正則関数 / 大域解の存在 / ジュヴレイ級関数族 / フーリエ・ボレル変換 / 解析汎関数 / 形式解 / 双曲型偏微分方程式 / 複素力学系 / 代数的整数 / 積分変換 / 特異遍微分方程式 / 特異解 … More Except Principal Investigator 特異点 / singularity / 正則解 / 複素領域 / 偏微分方程式 / 解析汎関数 / 形式解 / 漸近展開 / holomorphic solution / complex domain / 複素球面 / 特異摂動 / 超関数 / フックス型 / 複素偏微分方程式 / 変換の方程式 / 非線型偏微分方程式 / リ-球 / Gevrey estimate / multisummability / p-Laplace equation / generalized functions / formal solutions / asymptotic behavior / singularity of solutions / 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 / 漸近挙動 / 解の特異点 / equation of transformation / formal solution / partial differential equation / analytic continuation / PDE / 解析接続 / Fuchsiar type / linear PDE / nonlinear PDE / 確定特異点 / 積分表示 / 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 / Harmonic maps / Surfaces of constant mean curvature / Completely integrable systems / Shape operators / Isoparametric hypersurfaces / Austere submanifolds / Lagrangian submanifolds / Gauss mapping / スペシャルラグランジアン部分多様体 / 退化 / 重複度 / 主曲率 / 調和写像 / 平均曲率一定曲面 / 可積分系 / 型作用素 / 等径超曲面 / Austere部分多様体 / ラグランジアン部分多様体 / ガウス写像 / Asymptotic expansion / Partial differential equations in the complex domain / 複素編微分方程式 / 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 / 数式処理 / 複素多様体 / 素因数分解 / 次数つきリー環 / ジョルダン3項積 / 対称空間 / 特異作用素 / 合成積方程式 / 正則性 / 関数方程式 / 非線型シュレディンガー方程式 / 複素光錐 / ディジタル信号 / 双曲型偏微分方程式 / 非線形偏微分方程式 / 調和関数 / ジュヴレイ族 / 特異解 Less

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 domain
- 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 equationsPrincipal Investigator
- 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 analysisPrincipal Investigator
- 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
Differential systems and submanifolds theory
- Principal Investigator
  
  MIYAOKA Reiko
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- 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 equationsPrincipal Investigator
- 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 equations
- 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
- 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
球面上の解析
- Principal Investigator
  
  森本光生
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
漸近解析の総合的研究Principal Investigator
- Principal Investigator
  
  内山康一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- 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
  
  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
- 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
ある種の複素射影構造をもつ複素多様体について.
- Principal Investigator
  
  KATO Masahide
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Sophia University
漸近解析の総合研究Principal Investigator
- Principal Investigator
  
  内山康一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University
解析汎関数の総合的研究
- Principal Investigator
  
  森本光生
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University

All 2008 2004 2003

All Journal Article Presentation

[Journal Article] pラプラシアンに同伴する非線形常微分方程式の解の解析的特異性について2004
- Author(s)
  内山康一
- Journal Title
  
  数学解析の望ましい姿を探って(伊藤, 後藤, 宮川編)(九州大学出版会) 研究集会報告集
  
  Pages: 59-67
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Pラプラシアンに同伴する非線形常微分方程式の解の特異性について2004
- Author(s)
  内山康一
- Journal Title
  
  数学解析の望ましい姿を探って(九州大学出版会)
  
  Pages: 59-67
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Analytic Singularities of Solutions to certain Nonlinear Ordinary differential Euqations associated with p-Laplacian2003
- Author(s)
  L.Paredes, K.Uchiyama
- Journal Title
  
  Tokyo J.Math. 26
  
  Pages: 229-240
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540186
[Presentation] On local solutions to a radial p-Laplace equation2008
- Author(s)
  内山康一
- Organizer
  偏微分方程式姫路研究集会
- Place of Presentation
  姫路市イーグレ姫路
- Year and Date
  2008-02-21
- Data Source
  KAKENHI-PROJECT-19540197

1. YOSHINO Kunio (60138378)

# of Collaborated Projects: 18 results

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

# of Collaborated Projects: 18 results

# of Collaborated Products: 0 results
3. OUCHI Sunao (00087082)

# of Collaborated Projects: 15 results

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

# of Collaborated Projects: 10 results

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

# of Collaborated Projects: 10 results

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

# of Collaborated Projects: 4 results

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

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. YOKOYAMA Kazyi (10053711)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 谷口肇 (40053657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 長友康行 (10266075)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 高橋礼司 (80159003)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. MIYAOKA Reiko (70108182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. UMEHARA Masaki (90193945)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 田丸博士 (50306982)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

UCHIYAMA Koichi 内山 康一

UCHIYAMA Kouichi 内山 康一

内山 康一 ウチヤマ コウイチ

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Asymptotic analytical study of differential equationsPrincipal Investigator

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Study on differential equations by asymptotic analysisPrincipal Investigator

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Study on asymptotic analysis of differential equationsPrincipal Investigator

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漸近解析と微分方程式の研究Principal Investigator

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UCHIYAMA Koichi 内山康一

UCHIYAMA Kouichi 内山康一

内山康一ウチヤマコウイチ