KOMATSU Gen 小松玄

Researcher Number	60108446
Other IDs
Affiliation (based on the past Project Information) *help	2007 – 2010: 大阪大学, 大学院・理学研究科, 准教授 2005 – 2006: 大阪大学, 大学院理学研究科, 助教授 2002 – 2005: Osaka University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 2001: 東京大学, 大学院・理学研究科, 助教授 1996 – 2000: Osaka University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 1986 – 1995: 大阪大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator 解析学 Except Principal Investigator 解析学 / Basic analysis / Basic analysis / 代数学・幾何学 / Global analysis / Geometry / Geometry / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 再生核 / 漸近展開 / 強擬凸領域 / ベルグマン核 / ベルグマン核函数 / ゼゲ-核函数 / 境界挙動 / ゼゲー核 / 複素モンジュ-アンペール境界値問題 / CR不変量 … More / ワイル不変量 / モーザーの漂準形 / 普遍定数 / ゼゲ-核 / 強擬似凸領域 / 特異性 … More Except Principal Investigator ベルグマン核 / 放物型不変式論 / 調和写像 / 漸近安定性 / CR幾何 / アインシュタイン計量 / Bergman kernel / 多様体 / リッチ曲率 / シンプレクティック幾何学 / 多体問題 / S行列 / 非線型偏微分方程式 / 希薄波 / Duffing方程式 / 散乱行列 / ブラウン運動 / 共形幾何 / セゲー核 / 散乱理論 / ゼータ関数 / 漸近展開 / 極小曲面 / subharmonic function / Brownian motion / harmonic map / minimal surface / diffusion process / martingale / Nevanlinna theory / 強擬凸領域 / strictly pseudoconvex domain / CR geometry / Hitchin-Kobayashi対応 / 安定性 / Kahler-Einstein計量 / 定スカラー曲率 / Zhangの臨界計量 / Chow計量 / 漸近的ベルグマン核 / constant scalar curvature / extremal metric / balanced metric / test configuration / obstruction / ケ-ラ-・アインスタイン計量 / リ-マン多様体 / スピン表現 / ス-パ-微分方程式系 / 変換群 / シコレ-ヂィンガ-作用素 / 特異点 / リーマン多様体 / スペクトル幾何 / コンパクト化 / 熱核 / 調和関数 / アルバネーゼトーラス / 粘性的一次元保存則 / 粘弾性体の方程式系 / 進行波解 / 希薄波解 / 時間周期解 / モーメント写像 / Q構造 / toric非特異射影多様体 / シュレ-ディンガー作用素 / 放射条件 / 超局所解析 / 擬微分作用素 / 逆問題 / 粘性的保存則 / Burgers方程式 / 進行波 / 周期解分岐 / Schrodinger方程式 / 非線形放物型方程式 / 非線形楕円型方程式 / 解の爆発 / 完全爆発 / 解の対称性 / 対称性破壊 / 大域的分岐 / 振動定理 / 圧縮性粘性気体 / 倍周期分岐 / Kummerの合流型微分方程式 / Schrodinger作用素 / Airy型微分方程式 / 可積分系 / 一般超幾何微分方程式 / 可解格子模型 / Bethe仮説 / 一般化超幾何微分方程式 / 超幾何函数 / 量子群 / Macdonald多項式 / 箱玉系 / ソリトン / 粘性流体 / 正則自己同型群 / 双正則同値 / 位相群 / スタイン多様体 / 複素幾何学 / 放物型幾何 / アンビエント計量 / Q-曲率 / ケーラー計量 / 積分不変量 / 放物型幾何学 / 可解多様体 / シンプレクティック構造 / 接触構造 / 保存則 / 時間大域解 / 長時間挙動 / ナヴィエ・ストークス方程式 / 半導体方程式 / 接触不連続 / 漸近挙動 / 半導体の程式 / 定常解 / 大自由度力学系 / 解の存在と一意性 / 粘性保存則系 / 粘性衝撃波 / 大自由度カオス / ドリフト拡散モデル / フォッカー・プランク・ボルツマン方程式 / 漸近安定 / 接触不連続解 / 半導体 / 量子流体力学モデル / 粘性保存則 / 消散型波動方程式 / 量子ドリフト-拡散方程式 / オイラー方程式 / 極 / modified Lax and Phillips conjecture / エルゴード理論 / 形式的力学系 / 閉測地線 / 双曲型方程式 / 波動方程式 / 量子力学 / ゼ-タ-関数 / ラプラシアン / スペクトル / 特異性の伝播 / ゼ-タ関数 / エルゴ-ド性 / 幾何光学 / Hyperbolic Equation / Wave Equation / Scattering Theory / Quantum Mechanics / Zeta Function / Laplacian / Spectrum / Manifold / n端懸垂面 / 準安定性 / Eells-Sampson方程式 / ケーラー多様体 / モジュライ空間 / グレブナ-基底 / 幾何学的不変量 / 山辺不変量 / コンパクト・ケーラー / アインシュタイン / スカラー曲率 / 平均曲率 / 半線型波動方程式 / 渦糸の方程式 / 超ケーラー多様体 / extremal kahler計量 / ツイスター空間 / CR構造 / n-end catenoids / semi-stablity / Eells-Sampson's equation / Kahler manifold / moduli space / Einstein metric / Groebner bases / 数式処理 / 極限公式 / 楕円曲線 / 谷山-志村予想 / 保型関数 / 類体の構成 / レ-マン面 / 実験数学 / 複素関数の表示法 / 二次体の類数 / 虚数乗法 / ヤコビ多様体 / 加法公式 / 等分方程式 / Computer algbra / Limit-formula / Elliptic curve / Taniyama-Shumura conjecture / Automorphic function / Class fields / Riemann surface / ウィーナー空間 / 確率解析 / 確率振動積分 / ウィナー空間 / Wiener space / stochastic analysis / stochastic oscillatory integral / Nevarlinna theory / 劣調和関数 / 値分布論 / Brown運動 / 最大値原理 / P-調和写像 / 準線形楕円形作用素 / ディリクレ空間 / CR不変量 / 指数定理 / グラウエルト柱状領域 / Bevgman Kevuel / Parabolic Tnvaviant theory / CR invariant / index theorem / 放物型不変式 / アノマリー / parabolic invariant theory / anomaly / Extremal Kahler計量 / Extremal-Kahler計量 / Zhnng / Bando-Calabi-Futaki指標 / kahler-Einstein計量 / Zhang / Hitchin-Kobayashi correspondence / Stability / Kahler-Einstein metric / Extremal Kahler metric / Zhang's critical matric / Chow metric / Asymptotic Bergman Kernel / Parabolic invariant theory / conformal geometry / 幾何学 / 退化 / Test configuration / 定スカラー曲率ケーラー計量 / Chow-mumford安定性 / Hilbert-mumford安定性 / extremal-Kahler計算 / 偏極代数多様体 / 存在問題 / Chow-Mumford漸近安定性 / Hilbert-Mumford漸近安定性 / Caltin-Lu-Tian-Zelditch / extremal Kahle計量 / 射影kahler多様体 / Extremal metric / geometry / stability / degeneration / 時間的おくれ / 放物型方程式 / 基本解 / 可制御性 / 可観測性 / 半群 / 波動の減衰 / 散乱行列の極 / ハミルトン作用素 / ヴォルテラ型積分微分方程式 / 初期境界値問題 / 比重付楕円型評価 / 漸近行動 / 解の減衰 / time delay / parabolic equation / evolution operator / controllability / observability semigroup / decay of wave motions / poles of scattering matrix Less

Time global structure of solutions of nonlinear conservation law with viscosity and relaxation
- Principal Investigator
  
  MATSUMURA Akitaka
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Study of complex analysis from a point of view of parabolic geometry
- Principal Investigator
  
  HIRACHI Kengo
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
可解多様体の諸構造の研究
- Principal Investigator
  
  坂根由昌
- Project Period (FY)
  2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
A study of commutative rings of differential operators in completely integrable models and their eigenfunctions
- Principal Investigator
  
  DATE Etsuro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
A characterization of a complex manifold admitting an action of the direct product of unitary groups by holomorphic automorphisms
- Principal Investigator
  
  KODAMA Akio
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Existence Problem of Fxtremal Metran and Degeneration of Balanced Metrics
- Principal Investigator
  
  MABUCHI Toshiki
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Bergman zeta function and index theorems of complex domains
- Principal Investigator
  
  HIRACHI Kengo
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
The Hitchin-Kobayashi correspondence for Manifolds
- Principal Investigator
  
  MABUTCHI Toshiki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Asymptotic expansion of the Bergman kernel and CR gauge invariants
- Principal Investigator
  
  HIRACHI Kengo
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Asymptotic estimates of oscillatory integrals on abstract Wiener space
- Principal Investigator
  
  MANABE Shojiro
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Stochastic analysis of sub harmonic functions and its application to value distribution theory
- Principal Investigator
  
  ATSUJI Atsushi
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Invariant theory of the Bergman kernel and index theorems.
- Principal Investigator
  
  HIRACHI Kengo
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
非線形偏微分方程式論における実解析的方法
- Principal Investigator
  
  鈴木貴
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
流体を記述する非線型偏微分方程式系の数学解析
- Principal Investigator
  
  松村昭孝
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Experimental Method of Mathematics
- Principal Investigator
  
  YAMAMOTO Yoshihiko
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
再生核の漸近解析Principal Investigator
- Principal Investigator
  
  小松玄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Research on geometric invariants and moduli spaces
- Principal Investigator
  
  SAKANE Yusuke
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
モーメント写像のQ構造
- Principal Investigator
  
  MABUCHI Toshiki
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
シュレ-ディンガー作用素のスペクトル理論
- Principal Investigator
  
  磯崎洋
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
流体を記述する非線型偏微分方程式系の数学解析
- Principal Investigator
  
  松村昭孝
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
非線型偏微分方程式系の時間大域解の構造
- Principal Investigator
  
  MATSUMURA Akitaka
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
強擬凸領域における再生核の族の漸近解析Principal Investigator
- Principal Investigator
  
  小松玄
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
リーマン多様体の崩壊理論とスペクトル幾何
- Principal Investigator
  
  加須栄篤
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
多体シュレ-ヂィンガ-作用素の研究
- Principal Investigator
  
  磯崎洋
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
多変数函数論に現れる再生核の不変式論Principal Investigator
- Principal Investigator
  
  小松玄
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Hyperbolic equations and its applications
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University
多様体の多面的研究
- Principal Investigator
  
  村上信吾
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
双曲型方程式に対する散乱理論
- Principal Investigator
  
  井川満
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Problems on Partial Differential Equations
- Principal Investigator
  
  TANABE Hiraki
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University

All 2008 2007 2006 2005

All Journal Article Presentation

[Journal Article] Asymptotic expansion of the Bergman kernel-elementary application of the invariant theory2008
- Author(s)
  小松玄
- Journal Title
  
  Complex Analysis and its Applications, OCAMI Studies 2
  
  Pages: 43-63
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340046
[Journal Article] Asymptotic expansion of the Bergman kernel-elementary application of the invariant theory, Complex analysis and its Applications2008
- Author(s)
  Gen Komatsu
- Journal Title
  
  Proc. 15^<th> ICFIDCAA Osaka 2007 OKAMI Studies vol.2
  
  Pages: 43-63
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340046
[Journal Article] Asymptotic expansion of the Bergman kernel---elementary application of the invariant theory, Complex Analysis and its Applications2008
- Author(s)
  G. Komatsu
- Journal Title
  
  Proceedings of the 15th ICFIDCAA Osaka 2007 OCAMI Studies Volume 2
  
  Pages: 43-63
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540153
[Presentation] 中澤の微分方程式について2008
- Author(s)
  小松玄
- Organizer
  森本徹先生御退官記念研究集会
- Place of Presentation
  奈良女子大学
- Year and Date
  2008-03-18
- Data Source
  KAKENHI-PROJECT-17540153
[Presentation] Asymptotic expansion of the Bergman kernel--elementary appli-cation of the invariant theory2007
- Author(s)
  G. Komatsu
- Organizer
  plenary talk at The 15th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
- Place of Presentation
  Osaka City University
- Year and Date
  2007-08-01
- Data Source
  KAKENHI-PROJECT-17540153
[Presentation] Asymptotic expansion of the Bergman kernel-elementary application of the invariant theory2007
- Author(s)
  小松玄
- Organizer
  The 15th international Conference on Finite or Infinite Dimensional Complex Analysis and Application
- Place of Presentation
  大阪市立大学学術総合センター
- Year and Date
  2007-08-01
- Data Source
  KAKENHI-PROJECT-17340046
[Presentation] Tian-Catlin-Zelditchによるベルグマン核の漸近展開(overview)2006
- Author(s)
  小松玄
- Organizer
  多変数関数論唐津研究集会(仮題)
- Place of Presentation
  佐賀県唐津の虹ノ松原ホテル(国民宿舎)
- Year and Date
  2006-02-19
- Data Source
  KAKENHI-PROJECT-17540153
[Presentation] 聞いておきたかったこと, 研究集会2006
- Author(s)
  小松玄
- Organizer
  分析から総合へ-新しい数学の可能性
- Place of Presentation
  仙台国際センター
- Year and Date
  2006-09-30
- Data Source
  KAKENHI-PROJECT-17540153
[Presentation] 多変数函数論に現れるアダマール変分2005
- Author(s)
  小松玄
- Organizer
  大阪大学微分幾何研究会(坂根先生還暦記念)
- Place of Presentation
  千里ライフサイエンスセンター
- Year and Date
  2005-12-15
- Data Source
  KAKENHI-PROJECT-17540153
[Presentation] Hadamard's variations in several complex variables, Complex Analysis2005
- Author(s)
  Gen Komatsu
- Organizer
  Differential Geometry and Partial Differential Equations(Conference in Honor of the 80^<th> Birthday of Masatake Kuranishi)
- Place of Presentation
  Columbia大学数学教室
- Year and Date
  2005-05-03
- Data Source
  KAKENHI-PROJECT-17340046
[Presentation] Hadamard's variations in several complex variables, Complex Ana-lysis, Differential Geometry and Partial Differential Equations2005
- Author(s)
  G. Komatsu
- Organizer
  Conference in Honor of the 80^<th> Birthday of Masatake Kuranishi
- Place of Presentation
  Department of Mathematics, Columbia University
- Year and Date
  2005-05-02
- Data Source
  KAKENHI-PROJECT-17540153

1. MATSUMURA Akitaka (60115938)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
2. TANABE Hiroki (70028083)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
3. IKAWA Mitsuru (80028191)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
4. HIRACHI Kengo (60218790)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. 磯崎洋 (90111913)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. KASUE Atsushi (40152657)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. IKEDA Nobuyuki (00028078)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. OHYAMA Yohsuke (10221839)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
9. MABUCHI Toshiki (80116102)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. SAKANE Yusuke (00089872)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. NAGATOMO Kiyokazu (90172543)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
12. KOTANI Shinichi (10025463)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. KAWANAKA Noriaki (10028219)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. 小磯深幸 (10178189)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. ATSUJI Atsushi (00221044)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
16. DATE Etsuro (00107062)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
17. TAKEGOSHI Kensho (20188171)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
18. 川中子正 (20214661)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
19. TSUJISHITA Tooru (10107063)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. MIKI Kei (40212229)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. YAMANE Hiroyuki (10230517)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. OKADO Masato (70221843)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. SUGANO Takashi (30183841)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
25. IMAYOSHI Yoichi (30091656)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
26. NOGUCHI Junjiro (20033920)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
27. ODANAKA Shinji (20324858)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
28. NISHIHARA Kenji (60141876)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
29. NISHIBATA Shinya (80279299)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
30. YANAGISAWA Taku (30192389)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
31. TSUGE Naoki (30449897)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
32. KOISO Norihito (70116028)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
33. SUKUMA Makoto (30178602)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
34. 鹿野忠良 (80028183)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
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KOMATSU Gen 小松 玄

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再生核の漸近解析Principal Investigator

KOMATSU Gen 小松玄