KIKUCHI Norio 菊池紀夫

… Alternative Names

菊地紀夫キクチノリオ

菊池紀夫キクチノリオ

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Researcher Number	80090041
Other IDs
Affiliation (based on the past Project Information) *help	1992 – 2005: 慶應義塾大学, 理工学部, 教授 1998: Faculty of Science and Technology, Keio University Prof., 理工学部, 教授 1995: 慶応義塾大学, 理工学部, 教授 1991: 慶応大学, 理工学部, 教授 1991: 慶応義塾大学, 理工学部, 教授 … More 1991: 慶應義塾大学, 理工学部・数理科学科, 教授 1990: 慶応義塾大学, 理工学部・数理科学科, 教授 1990: 慶應大学, 理工学部, 教授 1989: 慶応義塾大学, 理工学部, 教授 1988: 慶應義塾大学, 理工学部, 教授 1986: 慶応義塾大学, 理工学部, 教授 Less
Review Section/Research Field	Principal Investigator 解析学 / Global analysis / Basic analysis / Basic analysis Except Principal Investigator 解析学 / 代数学・幾何学 / Global analysis / Geometry / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords	Principal Investigator 調和写像 / Campanato estimate / discrete Morse flow / local estimate / 多変数変分問題 / モ-ス流 / Rothe's approximation / De Giorgi-Nash estimate / 液晶 / 超伝導 … More / 大域解析学 / 変分問題 / Morse (variational) flow / Gehring-Giaquinta-Modica higher integrability / 非線形波動 / 特異点解析 / 超伝導・液晶 / ナヴィア・ストウクス方程式 / Kashiwagi algorithm / Navier-Stokes equations / 離散モース流 / p-調和写像 / 非線形最適化 / 最小勾配(モース)流 / Morse(variational)flow / Yang-mills 接続 / 正則性・特異性 / 正則性 / Yang-Mills接続 / 非線形 / 数値実験 / 変分解析 / モ-ス理論 / 非線形放物型方程式系 / ゲーリング理論 / Gehring-Giaquinta-Modica higher intergability / Rothe approximate scheme / regularity theory / singular integral operator / Morse flow / parabolic differential equations / variationalproblem / 一般臨界点 / 非定常Navier-Stokes方程式 / Alexandrov空間 / Singular space / Campanato評価 / 極小曲面 / 非線形放物型偏微分方程式 / 連続体力学 / 圧縮性流体方程式 / 自由境界問題 / ハミルトン系の周期解 / 位相力学 / 低次元トポロジー / Roth's approximation / Navier-Stokes方程式 / 調和写像とブラウン運動 / 数理ファイナンス / 調和解析と測定理論 / 特異点・漸近解析 / モース流 / 差分-偏微分方程式 / Rothe近似 / 重調和写像 / 液晶・超伝導 / difference partial differential equation of elliptic-parabolic type / discrete Morse fow / 国際研究者交流 / 多国籍 / 一般臨界点解析 / Morse(variational) flow / Kashiwagi algorism / DeGiorgi-Nash-estimate / Gehring-Giaquinta-Modica Higher integrability … More Except Principal Investigator 調和写像 / value distribution / growth order / Painleve equations / 自由境界問題 / Pain leve方程式 / 値分布 / 位数 / Garnier系 / Painleve方程式 / wavelet / Free boundary problem / 変形量子化 / 拡散過程 / ランダム媒質 / 測定 / Navier-Stokes方程式 / Euler方程式 / 合流型超幾何関数 / 漸近展開 / Painleve equation / PI-hierarchy / Painleve hierarchy / Riccati equation / 局所等長理入問題 / Yang-Mills gradient flow / Weyl manifold / 保測変換群 / 非圧縮流体方程式 / ザイフェルト・ファイバ-構造 / 変分問題解の正則性 / Analytic semiーGroup / NavierーStokes Equation / Model Boaltzman Equation / Uncertainty Relation / Simultaneous Measurment / SemiSimple Lie Group / 代数的独立性 / 超越数とMahlerの方法 / 数列のcomplexity / ビリヤ-ドに関するRauzy予想 / 正規数の構成 / ラプラシアンの行列式 / セルバ-グ.ゼ-タ / パンルヴェ方程式 / harmonic measure / ハルナックの不等式 / k不変関数 / 不確定性関係 / consistent history解釈 / Ising model / Large derivation principle / Navier‐Stokes方程式 / Vortex motion / Morse flow / Quantization / Stabilization / WKB solution / Rauzy〓s conjecture / ヤングミルズ接続 / 極小オ-ビット / フーリエ変換 / モ-ス流 / 非線型偏微分方程式 / 非可換多様体 / 無限次元Lie代数 / Nonlinear Analysis / ナヴィエ・ストークス方程式 / 渦糸方程式 / 表面張力 / 勾配流 / 擬微分作用素 / 量子力学(シュレ-ディンガー方程式) / Wavelet変換 / Hardy空間 / 変分法 / リー群 / 楕円型偏微分方程式 / vortex filament / Cahn-Hilliard oquaton / Stefan problem / Highen integrability / difference differentical egstem / generalized Bessel function / Stefan問題 / 渦系方程式 / 相転位 / 超越数 / 連分数 / 無理性の尺度 / 3次元多様体 / スパイン / ハミルトン系 / エネルギー曲面 / 周期解 / 凸曲面 / ヒルベルト変換 / 作用素の1径数群 / 超関数 / 熱方程式 / ラプラシアン / クリフォード代数 / nonlinear analysis / (compressibla,incompressible)Navier-Stokes equations / free boundary problem / slip boundary problem / Campanoto type estimates / flow-spines and Seifert fibered structure / ヤングミルズ場 / 変分問題の安定性 / 作用素環 / セルフシミラリティ- / フラクタル / 結び目理論 / マルコフ過程 / Yang-Mills fields / Harmonic maps / stability for the variational problem / operator algebra / self-similarity / fractals / knot theory / Markov process / ブラウン運動 / オペレーター安定過程 / II_∞,III型のエルゴード的変換 / モース・フロー / 無限次元Lie環 / オヘレーター安定過程 / II∞、III型のエルゴード的変換 / 調和写像とモース・フロー / ポアンカレ・バーコフ・ウイットの定理 / 自己相似過程 / ナビエ・ストークス方程式 / trimmed sum / Diffusion Process / Brownian Motion / Random Environment / Operator-stable Process / Ergodic Transformation of Type II*& III / Harmonic Map / Morse-flow / Infinite Dimensional Lie Algebra / フーリエ解析 / ウェイブレット / シュレーディンガー方程式 / 混体方程式 / 量子力学 / ファジィ情報 / 統計力学 / 流体方程式 / 量子及び古典力学 / ロジック / WAVELET / 情報 / 推論 / C^X-algebra / trajectory / Fourier analysis / measurements / Schrondinger eq. / fluid eq. / quantum mechanics / fuzzy information / statistical mechanics / 非特異エルゴード変換 / マルコフシフト / 多重再帰性 / 形式的べき級数 / II_∞型エルゴード変換 / dissipative sequence / upper Banach density / weakly wandering sequence / Zの直和分解 / Pascal-adic変換 / 2次元ランドム・ウォーク / Rogers-Ramanujan連分数展開 / II_∞型変換 / III_λ型変換 / Pascal-addic変換 / weakly mixing / NONSINGULAR TRANSFORMATION / MARKOV SHIFT / MULTIPLE RECURRENCE / FORMAL POWER SERIES / 合流型Jordan-Pochhammer型方程式 / Painleve超越関数 / 退化Garnier系 / Painleve property / モノドロミー保存変形 / confluent hypergeometric function / asymptotic expansion / 変型量子化 / グループポイド / 指数定理 / ローブレイン / ホッホシルトコホモロジー / Navier-Stokes equatin / Seiberg Witten equatin / non commutative geometry / Painleve equatin / K-theory / 非可換微分幾何学 / 弦理論 / Seiberg-Witten不変量 / ポアソン構造 / deformation quantizations / groupoids / Index theorem / D-brane / Hochshields cohomology / PI-hierarcly / asymptotics / Garnie system / 角領域 / contact line / 有界変動関数 / 非線形音響学 / 非ニュートン流体 / 滑り境界条件 / クラック伝播問題 / ZK方程式 / Navier slip condition / crack problem / non Newtonian fluids / Navier-Stokes equations / Euler equation / Free boundary problems / infinite sector / Contact line / Functions of bounded variation / nonlinear acoustics / doubly periodic / Pain leve超越関数 / Riccati方程式 / Pain leve property / Gasnies系 / 準Pain leve性 / Fibonacci数 / 準Painleve性 / 特異点 / 準パンルヴェ性 / Ganier system / quasi-Painleve property / Fibonacci numbers Less

Analytic study of Painleve equations and a nelated clans of equation
- Principal Investigator
  
  SHIMOMURA Shun
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
離散モース流とその正則性解析:モース流の構成・一般臨界点解析を目指してPrincipal Investigator
- Principal Investigator
  
  菊池紀夫
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Mathematical analysis on the structure of solutions for the fundamental systems of equations in continuum mechanics
- Principal Investigator
  
  TANI Atusi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KEIO UNIVERSITY
Global study of functional equations and special functions
- Principal Investigator
  
  SHIMOMURA Shun
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
多変数変分問題の臨界点解析・非線形最適化の数理解析Principal Investigator
- Principal Investigator
  
  菊池紀夫
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
Search for an approach to general critical points of variational problems materials sciencePrincipal Investigator
- Principal Investigator
  
  KIKUCHI Norio
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Global study on analytic solutions of functional equations
- Principal Investigator
  
  SHIMOMURA Shun
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
Study of Poisson geometry and its application
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Keio University
Morse theory of variational problemsPrincipal Investigator
- Principal Investigator
  
  KIKUCHI Norio
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
a study of special functions defined by functional equations
- Principal Investigator
  
  SHIMOMURA Shun
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
流体方程式の数学理論
- Principal Investigator
  
  谷温之
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  解析学
- Research Institution
  Keio University
On a clacification problem of type II ∞ and type III ergodic transformations and its application
- Principal Investigator
  
  NAKADA Hitoshi, 伊藤雄二
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  KEIO UNIVERSITY
Harmonic Analysis and its application to measurements
- Principal Investigator
  
  ISHIKAWA Shiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
変分問題のモ-ス理論Principal Investigator
- Principal Investigator
  
  菊池紀夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Keio University
調和解析とその応用に関する諸問題について
- Principal Investigator
  
  石川史郎
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
変分問題と非線形の世界・液晶解析を主題としてPrincipal Investigator
- Principal Investigator
  
  菊地紀夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  解析学
- Research Institution
  Keio University
非線型解析学における諸問題の研究
- Principal Investigator
  
  谷温之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
液晶の数理解析Principal Investigator
- Principal Investigator
  
  菊池紀夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Keio University
無限次元と非可換な幾何学について
- Principal Investigator
  
  前田吉昭
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
変分問題と大域解析学Principal Investigator
- Principal Investigator
  
  菊池紀夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
非線型及び大域解析学における諸問題の研究
- Principal Investigator
  
  谷温之
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
Research on Probability Theory and Related Problems of Analysis
- Principal Investigator
  
  TANAKA Hiroshi
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
関数方程式と超越数論
- Principal Investigator
  
  SHIOKAWA Ietaka
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
調和解析とその応用に関する諸問題の研究
- Principal Investigator
  
  石川史郎
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
調和解析および関連する諸問題の研究
- Principal Investigator
  
  小泉澄之
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
Problems in the Global analysis
- Principal Investigator
  
  OBATA Morio
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
大域解析学における諸問題の研究
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
非線型解析学
- Principal Investigator
  
  谷温之
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
変分問題と大域解解析学Principal Investigator
- 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
解析数論とその周辺
- Principal Investigator
  
  塩川宇賢
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University

All 2006 2005 2004 Other

All Journal Article

[Journal Article] Campanato boundary estimates of the solutions to the Rothe scheme to parabolic partial differential systems,2006
- Author(s)
  N.Kikuchi
- Journal Title
  
  Discrete and Continuous Dynamical Systems 印刷中(予定)(未定)(to appear)
- Data Source
  KAKENHI-PROJECT-16654030
[Journal Article] Campanato interior estimates of the solutions to the Rothe scheme to parabolic partial differential systems,2006
- Author(s)
  N.Kikuchi:
- Journal Title
  
  Ann.Mat.Pura Appl. 印刷中(予定)(未定)(to appear)
- Data Source
  KAKENHI-PROJECT-16654030
[Journal Article] Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality2005
- Author(s)
  N.Kikuchi, G.Seregin
- Journal Title
  
  Amer.Math.Soc.Transl.Ser.2 (In press)
- Data Source
  KAKENHI-PROJECT-16654030
[Journal Article] Construction of harmonic map flows through the method of discrete Morse flows2004
- Author(s)
  J.Haga, K.Hoshino, N.Kikuchi
- Journal Title
  
  Comput.Vis.Sci. 7
  
  Pages: 53-59
- Data Source
  KAKENHI-PROJECT-16654030
[Journal Article] Singular integral operators on amalgam spaces and in the discrete case,
- Author(s)
  N.Kikuchi
- Journal Title
  
  Ann.Inst.Fourier 未定(to appear)
- Data Source
  KAKENHI-PROJECT-16654030

1. TANI Atsusi (90118969)

# of Collaborated Projects: 22 results

# of Collaborated Products: 0 results
2. SHIMOMURA Shun (00154328)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
3. ISHIKAWA Shiro (10051913)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
4. MAEDA Yoshiaki (40101076)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
5. SHIOKAWA Ietaka (00015835)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
6. ISHII Ippei (90051929)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
7. MISAWA Masashi (40242672)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
8. ITO Yuji (90112987)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
9. MAEJIMA Makoto (90051846)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
10. TANAKA Hiroshi (70011468)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
11. NAKANO Minoru (00051607)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
12. KUNIMATSU Noboru (70051662)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
13. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
14. OMATA Seiro (20214223)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
15. OBATA Morio (90087015)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
16. KANAI Masahiko (70183035)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
17. NODERA Takashi (50156212)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
18. 利根川吉広 (80296748)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
19. 河添健 (90152959)

# of Collaborated Projects: 3 results

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20. 渋谷政昭 (20146723)

# of Collaborated Projects: 3 results

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21. 田村要造 (50171905)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
22. 星野慶介 (70327162)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
23. MORIYOSHI Hitoshi (00239708)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. TOHGE Kazuya (30260558)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
25. 小泉澄之 (20051162)

# of Collaborated Projects: 2 results

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26. 山浦義彦 (90255597)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
27. 宮島英紀 (70166180)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
28. 林喜代司 (00102004)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
29. KAMETANI Yokio (70253581)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. TAKAYAMA Masahiro (90338252)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. KIMURA Hironobu (40161575)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. HANAOKA Yoshishige (30208665)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. ISHIGAKI Katsuya (60202991)

# of Collaborated Projects: 1 results

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34. 榎本彦衛 (00011669)

# of Collaborated Projects: 1 results

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35. 青木圭子 (90252163)

# of Collaborated Projects: 1 results

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36. 栗原光信 (50027372)

# of Collaborated Projects: 1 results

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37. 立川篤 (50188257)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 戸瀬信之 (00183492)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 楯辰也 (00317299)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. KASHIWAGI Masahiro

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KIKUCHI Norio 菊池 紀夫

菊地 紀夫 キクチ ノリオ

菊池 紀夫 キクチ ノリオ

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離散モース流とその正則性解析:モース流の構成・一般臨界点解析を目指してPrincipal Investigator

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多変数変分問題の臨界点解析・非線形最適化の数理解析Principal Investigator

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Search for an approach to general critical points of variational problems materials sciencePrincipal Investigator

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Morse theory of variational problemsPrincipal Investigator

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変分問題のモ-ス理論Principal Investigator

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KIKUCHI Norio 菊池紀夫

菊地紀夫キクチノリオ

菊池紀夫キクチノリオ