TSUCHIYA Masaaki 土谷正明

… Alternative Names

土屋正明ツチヤマサアキ

土谷正明ツチヤマサアキ

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Researcher Number	50016101
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Affiliation (based on the past Project Information) *help	2007: Kanazawa University, 金沢大学, professor emeritus 2006 – 2007: 金沢大学, 名誉教授 2003 – 2005: 金沢大学, 自然科学研究科, 教授 2004: Kanazawa University, School of Natural Science and Technology, professor, 大学院・自然科学研究科, 教授 1996 – 2004: 金沢大学, 工学部, 教授 … More 1991 – 1995: 金沢大学, 教養部, 教授 1987 – 1989: 金沢大学, 教養部, 教授 1986: 金沢大, 教養部, 教授 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator 解析学 / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / 代数学・幾何学
Keywords	Principal Investigator 拡散過程 / 基本解 / 拡散方程式 / diffusion process / 数値解法 / 局所時間 / discretized Markov transform / spectral spreading sequence / Cesaro operator / Jacobi series … More / jump process / stochastic control / inverse problem / heat equation / マルコフ連鎖 / 時系列モデル / 超離散力学系 / 離散化マルコフ変換 / スペクトル拡散系列 / チェザロ作用素 / ヤコビ級数 / ジャンプ過程 / 確率制御 / 逆問題 / 熱方程式 / Paley's inequality / Hausdorff operator / numerical analysis / penalty method / stochactic differential equation / Dirichlet form / Ventsel's boundary condition / アトム分解 / 離散ハンケル空間 / モンテカルロシミュレーション / 確率過程の強近インス / 微積分方程式 / ペーリー不等式 / ペーリーの不等式 / ハウスドルフ作用素 / ペナルティメソッド / 確率微分方程式 / ディリクレ形式 / ヴェンチェル境界条件 / numerical method for solving / noncausal stochastic equation / Hankel transform / Hardy-type inequality / superpositon of diffusion process / fundamental solution / diffusion equation / ハーディー空間 / ハーディーの不等式 / オイラー・丸山近似 / 確率微分方程式の数値解析 / 非因果的確立方程式 / 放散方程式 / 非因果的確率方程式 / ハンケル変換 / ハーディ型不等式 / 拡散過程の重ね合せ / 葉層多様体 / 負曲率リーマン多様体 / 非線型汎関数と超関数の積 / twisted de Rhamコホモロジー / 内部写像 / spherical means for radial functions / stochastic population dynamics / Levy generator / Fuchs型微分方程式 / 双正則写像 / 固有正則写像 / 等距離埋蔵問題 / Lorentz manifold / Foliation / Laguerre polynomial / サブマルチンゲール問題 / スムーズ測度 / 安定性 / 領域摂動 / 境界値問題 / リーマン空間 / 安定性定理 / パラメトリックス法 / 超幾何関数 / 直交多項式 / L^2‐cohomology / parametrix method / 斜微分問題 / 代数的サイクル / 超函数の積 / Freud weight / 補間多項式 / 単項写像 / twistedドラム理論 / 超幾何函数 / 拡散方程式の基本解 … More Except Principal Investigator diffusion equation / Hardy space / Hardy's inequality / fractional integral / heat equation / inverse problem / 混合型境界条件 / 熱方程式 / 逆問題 / Paley's inequality / Marcinkiewicz integral / Hausdorff operator / 拡散方程式 / Nevanlinna theory / Lie-Trotter-Kato product formula / 中心極限定理 / ハンケル変換 / 交点理論 / ロンスキアン / twistedサイクル / twistedドラム理論 / オイラー型積分表示 / 移植型定理 / mixed boundary condition / parabolic equation / identification of shape / 未知形状 / 放物型方程式 / 形状推定 / singular integral operator / Cesaro operator / Hankel transform / transplantation operator / transplantation theorem / real Hardy space / 特異積分作用素 / チェザロ作用素 / 移植作用素 / 移植定理 / 実ハーディー空間 / ハーディーの不等式 / mixed boundary value problem / Dirichlet to Neumann map / Lipschitz domain / shape of domain / 線形化 / エネルギー評価 / 領域形状推定 / 混合型境界値問題 / Dirichlet to Neumann写像 / リプシッツ領域 / 領域形状 / Riccati differential equation / the self-adjoint Trotter-Kato product formula / cesaro operator / hardy space / Raly's inequality / Hausdorff operatol / Hardy's ineguality / Riccati differentianl equation / Trotter-Kato product formula / Paley's ineguality / reflecting Brownina motion / Euler-Maruyama scheme / stochastic differential equation / V-statistics / U-statistics / large deviation / asymptotic expansion / ノンパラメトリック推定 / ノンパラメトリック統計量 / 漸近展開 / エッジワース展開 / モンテカルロ法 / 反射壁ブラウン運動 / 重複大数の法則 / 大偏差理論 / V-統計量 / U-統計量 / 対称統計量 / oscillatory singular integrals / meromorplsis function / Marcinfeiewicz integral / Littlewood-Paley Theory / difusion equation / Kac operator / Hardy's mequality / weak type estimate / rough operator / ネヴァンリンナ理論 / 境界値問題 / tranceterenee therem / Hardy Space / oscillatory singular integral / pseudo random numbers / simulation / random particle method / stochastic numerical analysis / SPDE / SDE / nonlinear diffusion / 有限差分法 / Burgers like processes / 多粒子系の力学 / SDEモデル / 擬似乱数 / シミュレーション / ランダム粒子法 / 確率数値解析 / 確率偏微分方程式 / 確率微分方程式 / 非線形拡散 / Stochastic control / Schrodinger operator / Ergodic theory / Gaussian process / Random environment / Limit theorems / Markov process / Stochastic analysis / ガウス型通信路 / 拡散過程 / マリアバン演算法 / 加法過程 / 測度値分枝過程 / 多粒子系マルコフ過程 / 抽象ウィ-ナ-空間 / 無限次元解析 / 確率制御 / シュレディンガ-作用素 / エルゴ-ド理論 / ガウス過程 / ランダム媒質 / 極限定理 / マルコフ過程 / 確率解析 / 動径的関数 / 多変数の超幾何函数 / Jump型マルコフ過程 / 負曲率リーマン多様体 / 横断的キリング場 / 葉層多様体 / 概収束 / マルチプライP- / スペクトル合成 / diflusion prosess / Freud weight / Laguerre series / 双対性 / 外積構造 / 超幾何関数 / 端数積分 / ラゲール多項式 / フロイト多項式 / エルミート・フェイエール補間 / エルミート型式 / モノドロミー / 超幾何函数 / サブ・リ-マン構造 / 2階偏微分作用素 / Levy測度 / 特殊関数 / ラプラシァン / L^p有界性 / ヤコビ多項式 / ラゲ-ル多項式 / マルチプライヤ- Less

Research on an estimation problem for the shape of time-varying domain via parabolic equations
- Principal Investigator
  
  KAWAKAMI Hajime
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Akita University
Investigation of Inverse Problems for the Heat equation Based on the Theory of Stochastic ControlPrincipal Investigator
- Principal Investigator
  
  TSUCHIYA Masaaki
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
An estimation problem for the shape of a domain via diffusion equations
- Principal Investigator
  
  KAWAKAMI Hajime
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Akita University
Harmonic Analysis for Orthogonal Expansions
- Principal Investigator
  
  KANJIN Yuichi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Harmonic Analysis for Some Orthogonal Expansions
- Principal Investigator
  
  KANJIN Yuichi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
An anlytic approach to diffusion processes with second order Ventsel's boundary conditions and its applicationsPrincipal Investigator
- Principal Investigator
  
  TSUCHIYA Masaaki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
Limit theorems for U-statistics with degenerate kernels and applications
- Principal Investigator
  
  KANAGAWA Shuya
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Musashi Institute of Technology
  Kanazawa University
Perturbation of domain of diffusion processes with boundary conditions and its application to the boundary value problemPrincipal Investigator
- Principal Investigator
  
  TSUCHIYA Masaaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
Harmonic Analysis on Orthogonal Expansions
- Principal Investigator
  
  KANJIN Yuichi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Stochastic Numerical Analysis of Nonlinear Diffusions
- Principal Investigator
  
  OGAWA Shigeyoshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
拡散過程の境界挙動とその解析的側面の研究Principal Investigator
- Principal Investigator
  
  土谷正明
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
多変数超幾何関数の研究
- Principal Investigator
  
  勘甚裕一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
拡散過程および拡散方程式の境界値問題の研究Principal Investigator
- Principal Investigator
  
  土谷正明
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
多変数超幾何関数とその周辺の研究
- Principal Investigator
  
  喜多通武
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
境界条件をもつ拡散方程式と拡散過程の研究Principal Investigator
- Principal Investigator
  
  土屋正明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
種々の直交多項式にかかわる調和解析
- Principal Investigator
  
  勘甚裕一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
多変数超幾何函数とその周辺の研究
- Principal Investigator
  
  喜多通武
- Project Period (FY)
  1992
- Research Institution
  Kanazawa University
境界条件をもつ拡散方程式の研究(特に基本解の構成)とその応用Principal Investigator
- Principal Investigator
  
  土屋正明
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
開いたリ-マン多様体のスペクトル幾何学
- Principal Investigator
  
  北原晴夫
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kanazawa University
各種の直交関数系に関係した調和解析
- Principal Investigator
  
  KANJIN Yuichi
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
Comprehensive Study of Probability Theory
- Principal Investigator
  
  KUNITA Hiroshi
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyushu University
葉層構造をもつ多様体
- Principal Investigator
  
  萬伸介
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kanazawa University
確率過程の理論と応用並びに関連分野(特に解析学、幾何学)の研究Principal Investigator
- Principal Investigator
  
  土谷正明
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
直交多項式に関連した調和解析
- Principal Investigator
  
  勘甚裕一
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
非正則領域における拡散過程Principal Investigator
- Principal Investigator
  
  土谷正明
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University

All 2008 2007 2006 2005

All Journal Article Presentation

[Journal Article] An estimation problem for the shape of a domain varying with time via parabolic equations2007
- Author(s)
  Hajime Kawakami, Yosuke Moriyama and Masaaki Tsuchiya
- Journal Title
  
  Inverse Problems 23
  
  Pages: 755-783
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540155
[Journal Article] An estination problem for the shape of a domain varying with time viaparablic equations2007
- Author(s)
  Hajime, Kawakami, Yosuke, Moriyama, Masaaki, Tsuchiya
- Journal Title
  
  Inverse Problems 23
  
  Pages: 755-783
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540155
[Journal Article] Construction of classical solutions to diffusion equations with Ventcel' -Visik boundary conditions2005
- Author(s)
  Masaaki Tsuchiya
- Journal Title
  
  International Journal of Pure and Applied Mathematics 21・2
  
  Pages: 223-255
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540100
[Journal Article] An estimation problem for the shape of a domain via parabolic equations2005
- Author(s)
  Hajime Kawakami, Yosuke Moriyama, Masaaki Tsuchiya
- Journal Title
  
  Hokkaido University Technical Report Series in Mathematics 98
  
  Pages: 29-38
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540100
[Journal Article] An estimation problem for the shape of a domain via parabolic equations2005
- Author(s)
  Hajime Kawakami, Yosuke Moriyama, Masaaki Tsuchiya
- Journal Title
  
  Hokkaido University Technical Report Series In Mathematics 98
  
  Pages: 29-38
- Data Source
  KAKENHI-PROJECT-16540100
[Journal Article] Construction of classical solutions to diffusion equations with Ventcel'-Visik boundary conditions2005
- Author(s)
  Masaaki Tsuchiya
- Journal Title
  
  International Journal of Pure and Applied Mathematics 21・2
  
  Pages: 223-255
- Data Source
  KAKENHI-PROJECT-16540100
[Journal Article] Construction of classical solutions to diffusion equations with Ventcel'-Visik boundary conditions2005
- Author(s)
  Masaaki Tsuchiya
- Journal Title
  
  International Journal of Pure and Applied Mathematics 21(2)
  
  Pages: 223-255
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540100
[Presentation] 時空変形する領域の形状に対する放物型方程式に基づく推定問題2008
- Author(s)
  河上肇・土谷正明
- Organizer
  日本数学会 2008 年度年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540155
[Presentation] 時空変形する領域の形状に対する放物型方程式に基づく推定問題2008
- Author(s)
  河上肇, 土谷正明
- Organizer
  日本数学会 2008年度年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-18540155
[Presentation] Estimation problem for the shape of a time-varying domain based on parabolic equations2008
- Author(s)
  Hajime Kawakami and Masaaki Tsuchiya
- Organizer
  Annual Meeting of the Mathematical Society of Japan
- Place of Presentation
  Kinki University
- Year and Date
  2008-03-25
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540155
[Presentation] Estimation problem for the shape of a domain based on parabolic equations2006
- Author(s)
  Hajime Kawakami, Yosuke Moriyama and Masaaki Tsuchiya
- Organizer
  Inverse Problems in Applied Sciences-towards breakthrough
- Place of Presentation
  Hokkaido University
- Year and Date
  2006-07-05
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540155
[Presentation] Estimation problem for the shape of a domain based on parabolicequations2006
- Author(s)
  Hajime, Kawakami, Yosuke, Moriyama, Masaaki, Tsuchiya
- Organizer
  Inverse Problems in Applied Sciences-towards breakthrough-
- Place of Presentation
  北海道大学
- Year and Date
  2006-07-05
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540155

1. KANJIN Yuichi (50091674)

# of Collaborated Projects: 20 results

# of Collaborated Products: 0 results
2. 北原晴夫 (60007119)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. 喜多通武 (50053707)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
4. 渡辺力 (50019478)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
5. 斉藤博 (80135293)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. KAWAKAMI Hajime (20240781)

# of Collaborated Projects: 5 results

# of Collaborated Products: 9 results
7. 萬伸介 (40019849)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. 半沢英一 (80142686)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. KANAGAWA Shuuya (50185899)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. OGAWA Shigeyoshi (80101137)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. ICHINOSE Takasi (20024044)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. SATO Shuichi (20162430)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. KUNITA Hiroshi (30022552)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. OGURA Yukio (00037847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. SHIGA Tokuzo (60025418)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. ITO Yuuji (90112987)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. WATANABE Sinzo (90025297)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. TAKASHIMA Keizo (00137184)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. HIGUCHI Yasunari (60112075)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. NAKAOKA Akira (90027920)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. KOBAYASHI Mahito (10261645)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. SAKA Koichi (20006597)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. MIKAMI Kentaro (70006592)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. FUJISAKI Masatoshi (20047492)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. FUJISAKI Hiroshi (80304757)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 藤曲哲郎 (60016102)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 後藤享 (80251966)

# of Collaborated Projects: 1 results

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30. 田中洋 (70011468)

# of Collaborated Projects: 1 results

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31. 前園宣彦 (30173701)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TSUCHIYA Masaaki 土谷 正明

土屋 正明 ツチヤ マサアキ

土谷 正明 ツチヤ マサアキ

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Investigation of Inverse Problems for the Heat equation Based on the Theory of Stochastic ControlPrincipal Investigator

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An anlytic approach to diffusion processes with second order Ventsel's boundary conditions and its applicationsPrincipal Investigator

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Perturbation of domain of diffusion processes with boundary conditions and its application to the boundary value problemPrincipal Investigator

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拡散過程の境界挙動とその解析的側面の研究Principal Investigator

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拡散過程および拡散方程式の境界値問題の研究Principal Investigator

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TSUCHIYA Masaaki 土谷正明

土屋正明ツチヤマサアキ

土谷正明ツチヤマサアキ