SAKAI Makoto 酒井良

… Alternative Names

酒井良サカイマコト

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Researcher Number	70016129
Other IDs
Affiliation (Current)	2025: 東京都立大学, 理学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2008: 首都大学東京, 大学院・理工学研究科, 名誉教授 2006: Tokyo Metropolitan University, Graduate School of Science and Technology, Professor, 理工学研究科, 教授 2005: 首都大学東京, 都市教養学部, 教授 2005: 首都大学東京, 都市教養学部・理工学系, 教授 2005: Tokyo Metropolitan University, Faculty of Urban Liberal Arts, Professor, 都市教養学部理工学系, 教授 … More 2004: 東京都立大学, 理学研究科, 教授 1997 – 2004: 東京都立大学, 大学院・理学研究科, 教授 1997 – 2002: 東京都立大学, 理学研究科, 教授 1999: 東京都立大学, 理学部, 教授 1990 – 1996: 東京都立大学, 理学部, 教授 1987 – 1988: Faculty of Science, Tokyo Metropolitan University, Professor, 理学部, 教授 1986: 東京都立大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis Except Principal Investigator 解析学 / Basic analysis / Basic analysis / Global analysis
Keywords	Principal Investigator 求積領域 / ポテンシャル論 / Hele-Shaw flow / Quadrature domain / Free boundary problem / Potential theory / ヘレショウ流れ / 自由境界問題 / ポアンカレ計量 / リ-マン面 … More / ヘレンショウ流れ / C^+-環 / 螺旋面 / 波動方程式 / 重調和擬過程 / 微分同相写像 / 掃散作用素 / 非可換化基本不等式 / 非可換レンズ空間 / 超幾何方程式 / 非線形惰円型方程式 / 疑似マルコフ過程 / 位相力学系 / 多変数解析関数 / 値分布論 / 等角写像論 / クライン群 / 正則関数 … More Except Principal Investigator 最適化問題 / 変分問題 / スペクトル逆問題 / 逆問題 / Ginzburg-Landau equation / Ginzburg-Landau方程式 / Schrodinger作用素 / 特異摂動問題 / ハミルトン・ヤコビ方程式 / Schrodinger operator / シュレーディンガー方程式 / EIT / Inverse spectral problem / optimization problem / マルチン境界 / Gauss curvature flow / ヘレショウ流れ / ガウス曲率流 / ギンツブルグ-ランダウ方程式 / 値分布理論 / ポテンシャル / 数値解析 / singular perturbation problem / variational problem / elliptic equation / spectrum / 楕円型方程式 / スペクトル / 漸近挙動 / Fefferman-Phong不等式 / Sturm-Liouville作用素 / KPP方程式 / Kirchhoff方程式 / 非線形楕円型方程式 / ギンツブルグ・ランダウ方程式 / 熱核 / 放物型偏微分方程式 / 非線形シュレディンガー方程式 / 粘性解 / 非線型波動方程式 / 求積領域 / 半線形波動方程式 / 位相力学系 / 境界ハルナック原理 / グリーン関数 / 二階楕円型方程式 / マルチン核 / 正値解の構造 / アキシフォン / 強いCPの破れ / ニュ-トリノ振動 / 超新星爆発 / 太陽ニュ-トリノ / バリオン数非保存 / 場の理論における無限大 / 超ひも理論 / Value Distribution Theory / Analytic Capacity / Bounded Analytic Functions / Removable Singularity / H_P Space / Analytic Map / Self-Conformal Mapping / 多変数解析函数 / ポランシアル論 / 正則〓 / 等角計量 / フックス群 / タイヒミュラー空間 / ブロック・ランダウ定数 / ハーディ空間 / 多変数函数論 / 解析容量 / 有界函数族 / 除去可能特異性 / Hp空間 / 解析写像 / 自己等角写像 / Radon transform / Algorithm / Reconstruction / Dirichlet-Neumann map / Inverse problems / コンピュータートモグラフィー / 電気インピーダンス法 / ディリクレーノイマン写像 / ラドン変換 / アルゴリズム / 再構成 / ディリクレノイマン写像 / difference scheme / KP equation / numerical analysis / computational harmonic analysis / sampling / spline / Strang-Fix条件 / 数値シミュレーション / 関数近似 / ハミルトニアン力学系 / スプライン関数 / ウェイヴレット / 数値解 / 衝撃波 / 数理工学 / 画像、文章、音声等認識 / 関数方程式論 / 解析学 / 高次差分解法 / KP方程式 / 計算調和解析 / サンプリング近似 / スプライン / free boundary problem / inverse conductivity problem / numerical simulation / nonlinear Schroedinger equation / 非線型シュレデインガー方程式 / 双曲多様体 / 境界値逆問題 / ウエイヴレット基底 / 非線型楕円型方程式 / シュレディンガー作用素 / 対称性の崩れ / 非線形最適化問題 / 多重安定パターン / 自由境界問題 / 逆伝導度問題 / 数値計算 / Dirac operator / Sturm-Liouville operator / large time asymptotics / scattering amplitude / dissipative wave equation / semilinear wave equation / generalized KPP equation / Low energy resolvent estimate / Porous media equation / Nonlinea scattering theory / Cahn-Hillard / Hele-Shaw fleid / Non-conservative wave equation / Inverse scattering problem / 散乱と逆散乱 / 極限吸収の原理 / スペクトル表現 / Schr\"odinger作用素 / Dirac作用素 / シュレディンガー方程式 / 解の漸近挙動 / 逆散乱問題 / 散乱振幅 / シュレディンカー方程式 / 摩擦項を伴う波動方程式 / Hale-Shaw flow / inverse spectrum problem / Martin boundary / first Dirichlet eigenvalue / Chern-Simons-Higgs theory / Cahn-Hilliard energy / 放物型方程式の解の一意性 / Allen-Cahn方程式 / Cahn-Hilliardエネルギー / 非線形散乱理論 / Martin境界 / 非線形Schrodinger方程式 / 楕円型境界値問題 / ヘレ-ショウの流れ / 逆スペクトル問題 / ディリクレ第1固有値 / チャーンサイモン・ヒッグス理論 / カーン・ヒリアード・エネルギー / Uniformly elliptic equations / Level set approach / Stochastic optimal control / Hamilton-Jacobi equations / Curvature flow / Optimal control / Viscosity solutions / 退化楕円型方程式 / 退化楕円形方程式 / 半連続粘性解 / 適正粘性解 / 特異摂動 / 積分微分方程式 / 緩和 / 離散確率近似 / 凸化ガウス曲率流 / 一様楕円型方程式 / 等高面法 / 確率制御 / 曲率流 / 最適制御 / spectral inverse problem / Parabolic equation / nonlinear elliptic equation / Dirichlet first eigenvalue / Heat Kernel / magnetic Schrodinger operator / 曲面の曲率流 / 固有値最小化問題 / 磁場シュレディンガー / 楕円型作用素 / Strum-Liouville作用素 / 自由境界 / Calderon-zygmund性 / 磁場シュレディンガー作用素 / 放物型方程式 / Dirichlet第1固有値 / 磁場シュレヂンガー作用素 / positive solution / self-adjoint equation / Euler equation / Lie^^'nard system / homoclinic orbit / limit cycle / separatrix / Markov過程 / Network / 調和測度 / Carleson測度 / 可積分性 / 非線型 / 放物型 / 境界条件 / ソボレフ関数 / 優調和 / 調和 / 整関数 / 境界値 / 時間遅れをもつ方程式 / 確率過程 / 熱方程式 / 調和関数 / Dirichlet解 / 正値解 / 自己随伴型非線形微分方程式 / オイラー型方程式 / リエナール方程式系 / ホモクリニック軌道 / 極限閉軌道 / 分岐子 / Klein group / Integral transform / Riemann surface / numerical / differential equ / inverse problem / reproducing kernel / Analytic function / 偏微分方程式 / 等角写像 / 解析関数 / フライン群 / リーマン面 / クライン群 / リーセン面 / 微分方程式 / 積分変換 / 再生核 / 解析性 / Sem-classical limit / Super conductivity / 対称性 / スカラー曲率方程式 / Chern-Simons-Higgs理論 / 一意接続性定理 / Morrey空間 / スペクトエル / 半古典極限 / 超伝導 / bifurcation phenomena / Hele-Shaw fluid / Hamilton-Jacobi equation / Sturm-Liouvill operator / Kirchhoff equation / Degenerate parabolic equation / localized dissipation near infinity / 爆発問題 / 追化放物型方程式 / KcrichhoH方程式 / 波動方程式 / Life-span / エネルギー減衰 / 反応拡散方程式 / 解の爆発 / 非線形散乱 / Hale-Shaw流 / 分岐現象 / Hele-Shaw流 / Hamilton-Jacobi方程式 / Sturm-Liouirlle作用素 / 退化放物型方程式 / 局在する摩擦項 / 力学系の軌道構造 / 拡大写像 / 葉層化多様体 / C^環のクロス積 / スペクトラルギャップ / 固有値 / 内在的超縮小性 / コンパクト埋め込み / ギーラー・マインハルト系 / 非線形楕円型境界値問題 / コンパクト埋め込み定理 / ソボレフ空間 / 反応拡散系 / 非線形楕円型偏微分方程式 / 非線形光学 / パターン形成 / 数理生態学 / 非線形現象 / 境界値問題 / 均質化理論 / AT-型 / 安定同型 / 強導来的 / C^-接合積 / 核型単純環 / Euler標数 / Perron-Wiener-Brelot method / Yamabe equation / Nonlinear wave equation / Capillary problem / Eigenvalue problem / Unique Continuation / Elliptic Equation / 調和写像 / 平均曲率一定の曲面 / 合流型超幾何函数 / モノドロミ- / 大久保タイプ方程式 / レゾナンス / P-放物型方程式 / 散乱理論 / 爆発と大域存在 / 対流項 / 準線形方程型方程式 / モノドロミー群 / Spectricl flow / 界面 / 曲率流方程式 / 等周不等式 / 大域的分岐 / 対称性破壊 / Emden-Fowler方程式 / I型C^環 / 再帰点集合 / 微分同相 / 位相変換群C^環 Less

Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations
- Principal Investigator
  
  KURATA Kazuhiro
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Metropolitan University
Numerical harmonic analysis and its applications to image analysis and computational mathematics
- Principal Investigator
  
  OKADA Masami
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Local Dirichlet - Neumann map and the reconstruction algorithm
- Principal Investigator
  
  ISOZAKI Hiroshi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Study of the structure of solutions to Variational Problems, Inverse Problems and Partial Differential Equations
- Principal Investigator
  
  KURATA Kazuhiro
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Metropolitan University
Study of Solutions to Partial Differential Equations, Variational Problems and Inverse Problems
- Principal Investigator
  
  KURATA Kazuhiro
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Analysis of linear and nonlinear wave phenomena and the inverse problem
- Principal Investigator
  
  MOCHIZUKI Kiyoshi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  CHUO UNIVERSITY
  Tokyo Metropolitan University
Research on viscosity solutions of differential equations and their applications
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
  Tokyo Metropolitan University
Changes of configuration in free boundary problemsPrincipal Investigator
- Principal Investigator
  
  SAKAI Makoto
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Interdisciplinary research on potential analysis
- Principal Investigator
  
  SUGIE Jitsuro
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems
- Principal Investigator
  
  KURATA Kazuhiro
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Applications of analyticoty of functions
- Principal Investigator
  
  SAITOH Saburou
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Basic analysis
- Research Institution
  Gunma University
Free boundary problems in potential theoryPrincipal Investigator
- Principal Investigator
  
  SAKAI Makoto
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
Analysis of Nonlinear Waves and Nonlinear Diffusions
- Principal Investigator
  
  MOCHIZUKI Kiyoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
Study of Harmonic Analysis, Solutions to Variational Problems and Partial Differential Equa
- Principal Investigator
  
  KURATA Kazuhiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Hamilton-Jacobi 方程式に対する特異摂動問題の研究
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
調和解析及び偏微分方程式の解の研究と応用
- Principal Investigator
  
  KURATA Kazuhiro
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
非可換多様体のEuler標数と分類問題
- Principal Investigator
  
  高井博司
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
ポテンシャル論における逆問題についてPrincipal Investigator
- Principal Investigator
  
  酒井良
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
大久保タイプ Fuchs型方程式のモノドロミ-群について
- Principal Investigator
  
  佐々井崇雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
非線形波動現象の解析
- Principal Investigator
  
  望月清
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
位相力学系論とC環論の相互作用の研究
- Principal Investigator
  
  富山淳
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan 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)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
変分不等式とその応用についてPrincipal Investigator
- Principal Investigator
  
  酒井良
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
正則関数の研究Principal Investigator
- Principal Investigator
  
  酒井良
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
C^*環論と位相力学系の相互作用の研究
- Principal Investigator
  
  富山淳
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
超ひも理論と関連する高次元統一理論
- Principal Investigator
  
  吉村太彦, 村田實
- Project Period (FY)
  1987 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
  Tohoku University
Research on analytic mappings on manifolds
- Principal Investigator
  
  SUITA Nobuyuki
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology

All 2009 2008 2007 2006 2005 2004 2003

All Journal Article Presentation

[Journal Article] Small modifications of quadrature domains2009
- Author(s)
  Makoto Sakai
- Journal Title
  
  to appear in Memoirs of the American Mathematical Society
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540191
[Journal Article] Small modifications of quadrature domains.2008
- Author(s)
  Makoto Sakai
- Journal Title
  
  Memoirs of the American Mathematical Society (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540191
[Journal Article] The mathematical work of Y^usaku Komatsu2005
- Author(s)
  Makoto Sakai
- Journal Title
  
  Sci. Math. Jpn. 62, No.2
  
  Pages: 181-187
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] The mathematical work of Y^usaku Komatu2005
- Author(s)
  Makoto Sakai
- Journal Title
  
  Sci.Math.Jpn. 62,No.2
  
  Pages: 181-187
- NAID
  10020542670
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] Restriction, localization and microlocalization.2005
- Author(s)
  Makoto Sakai
- Journal Title
  
  Oper.Theory Adv.Appl. 156
  
  Pages: 195-205
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] Restriction, localization and microlocalization.2005
- Author(s)
  Makoto Sakai
- Journal Title
  
  Oper. Theory Adv. Appl. 156
  
  Pages: 195-205
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] On the curvature of the free boundary for the obstacle problem in two dimensions2004
- Author(s)
  Makoto Sakai, B.Gustafsson
- Journal Title
  
  Monatsh.Math. 142
  
  Pages: 1-5
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] Restriction, localization and microlocalization2004
- Author(s)
  Makoto Sakai
- Journal Title
  
  Operator Theory : Advances and Applications 156
  
  Pages: 195-205
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] On the curvature of the free boundary for the obstacle problem im two dimensions(with Bjorn Gustafsson)2004
- Author(s)
  Makoto Sakai
- Journal Title
  
  Monatsh. Math. 142, No.1-2
  
  Pages: 1-5
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] On the curvature of the free boundary for the obstacle problem in two dimensions2004
- Author(s)
  Makoto Sakai, Bj"orn Gustafsson
- Journal Title
  
  Monatsh.Math. 142,No.1-2
  
  Pages: 1-5
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] Sharp estimates of the curvature of some free boundaries in two dimensions2003
- Author(s)
  Makoto Sakai, Bj"orn Gustafsson
- Journal Title
  
  Ann.Acad.Sci.Fenn.Math. 28,No.1
  
  Pages: 123-142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Journal Article] Sharp estimates of the curvature of some free boundaries in two dimensions(with Bjorn Gustafsson)2003
- Author(s)
  Makoto Sakai
- Journal Title
  
  Ann. Acad. Sci. Fenn. Math. 28, No.1
  
  Pages: 123-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540177
[Presentation] Construction of quadrature domains with infinite volume2007
- Author(s)
  Makoto Sakai
- Organizer
  Quadrature domains and Laplacian growth in modern physics
- Place of Presentation
  Banff Centre, CANADA
- Year and Date
  2007-07-17
- Data Source
  KAKENHI-PROJECT-18540191
[Presentation] The Cauchy transform of a positive measure on an interval2006
- Author(s)
  酒井良
- Organizer
  「等角写像論・値分布論」合同研究集会
- Place of Presentation
  広島大学学士会館
- Year and Date
  2006-12-03
- Data Source
  KAKENHI-PROJECT-18540191

1. MOCHIZUKI Kiyoshi (80026773)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. KURATA Kazuhiro (10186489)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
3. MURATA Minoru (50087079)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
4. TAKAKUWA Shoichiro (10183435)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
5. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. 西岡國雄 (60101078)

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23. AIKAWA Hiroaki (20137889)

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31. HAYASHI Nakao (30173016)

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39. KOIKE Shigeaki (90205295)

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SAKAI Makoto 酒井 良

酒井 良 サカイ マコト

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Changes of configuration in free boundary problemsPrincipal Investigator

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Free boundary problems in potential theoryPrincipal Investigator

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SAKAI Makoto 酒井良

酒井良サカイマコト