TAIRA Kazuaki 平良和昭

Researcher Number	90016163
Other IDs
Affiliation (based on the past Project Information) *help	2009: 筑波大学, 数理物質科学研究科, 教授 2007 – 2008: University of Tsukuba, 大学院・数理物質科学研究科, 教授 2006: University of Tsukuba, Graduate School of Pure and Applied Sciences, Professor, 大学院数理物質科学研究科, 教授 2004 – 2005: 筑波大学, 大学院・数理物質科学研究科, 教授 1998 – 2003: University of Tsukuba, Institute of Mathematics, Professor, 数学系, 教授 1995 – 1996: 広島大学, 理学部, 教授 1988 – 1994: 筑波大学, 数学系, 助教授
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / 解析学 Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Global analysis / Basic analysis / 代数学・幾何学 / Algebra / Geometry
Keywords	Principal Investigator フェラー半群 / 非線型境界値問題 / Nonlinear Boundary Value Problem / 拡散過程 / マルコフ過程 / 特異積分作用素 / Population Dynamics / Feller Semigroup / 燃焼問題 / 人口動態論 … More / 変分法 / 楕円型境界値問題 / Variational Method / Diffusion Process / Singular Integral / Inverse Problem / Technology / Mathematical Biology / 非線形境界値問題 / 逆問題 / 工学 / 数理生態学 / Markov Process / Combustion Problem / Singular Integral Operator / 弾性体力学 / Harmonic Integral / Chemical Reactor Theory / Boundary Value Problem / Brownian Motion / 指数公式 / 調和積分 / 化学反応 / 積分微分作用素 / 調和積分論 / 化学反応論 / 境界値問題 / ブラウン運動 / 解析的半群 / 不動点定理 / 写像度 / 逆関数定理 / 位相的手法 / フェラ-半群 / 多次元拡散過程 … More Except Principal Investigator Schrodinger equation / 逆問題 / 双曲型方程式 / range characterization / Radon transform / 不変微分作用素 / パフィアン / グラスマン多様体 / アファイングラスマン多様体 / 像の特徴付け / 積分幾何 / ラドン変換 / symmetric space / 調和解析 / 対称空間 / シュレヂンガー方程式 / 平滑化効果 / smoothing effect / 正則性 / Smoothing effect / 非線形解析 / 安定過程 / 確率解析 / 基本解 / 超局所解析 / シュレーディンガー方程式 / 準楕円性 / 初期値問題 / 特異性の伝播 / 境界値問題 / 解析的半群 / invariant differential operator / Grassmann manifold / Pfaffian / moment condition / support theorem / パフィアン型微分方程式 / フーリエ解析 / モーメント条件 / サポート定理 / inversion formula / integral geometry / 平滑化作用 / パフィアン型微分作用素 / 反転公式 / time decay / regularity of solution / global solution of nonlinear problem / mocrolocal smoothing effect / Dispersion equation / 超局所化 / シュレデインガー方程式 / Differential equation / Micro local analysis / Dispersion / 非線形問題の大域解 / 時間的減衰 / 解の正則姓 / 非線型問題の大域解 / 超平滑化効果 / 分散型方程式 / computer system / quantum group / マルチクラスター計算機システム / グレプナー基底 / 数理物理学のモデル / 複素構造と表現論 / 量子ベクトル束の特性類 / 巡回(コ)ホモロジー / 調和解析学 / 量子多様体の非可換幾何 / 非可換幾何学 / コニタリー表現論 / 代数幾何学 / ゲージ理論 / q-アナログ / ファイバー束 / 数理物理学 / ホモロジー代数学 / 非可換微分幾何学 / 量子群の表現論 / 数式処理 / ユニタリー表現 / インスタントン / 4次元球面 / 熱核 / 差分方程式 / 計算機 / 量子群 / Cauchy problem / Gevrey class / regularity / dispersion equation / 退任放物型方程式 / Schrodinger方程式 / Gevrey関数 / 分散方程式 / Schrodiuger方程式 / Relative invaliant / Fourier transform / weakly spherical homogeneous spaces / Prehomogeneous vector spaces / 相対不変式 / フーリエ変換 / 弱球等質空間 / 概均質ベクトル空間 / Self-Similar Processes / Dynamical Systems / Quantum Analysis / Non-Linear Analysis / Informatic Analysis / White Noise Analysis / Infinite dimensional Analysis / Stochastic Analysis / ガウス過程 / 情報理論 / エルゴード理論 / フラクタル / 複雑系 / 平衡現象 / 確率論 / 自己相似過程 / 力学系 / 量子解析 / 情報解析 / 白色雑音解析 / 無限次元解析 / disordered systems / random matrices / quantum chaos / point processes / level statistics / ランダム・スペクトル / アンダーソン局在 / 量子準位統計 / エネルギー準位統計 / 不規則系 / ランダム行列 / 量子カオス / 点過程 / 準位統計 / nonlinear conveetive diffusion equation / reaction-diffusion system / nonlinear elliptic equation / infinite dimensinoal dynamical system / computational methods / numerical method / evolution equations / nonlinear analysis / 非線形移流・拡散方程式 / 数理モデル / 反応拡散系 / 非線形拡散・移流方程式 / 非線形楕円型方程式 / 数値計算法 / 数値解法 / 無限次元力学系 / 発展方程式 / Random Matrix Theory / Method of characteristics / Dirac equation / First order system of PDEs / Hamilton-Jacobi equation / Superspace / Weyl equation / Path integral / Fourier積分作用素 / 偏微分方程式系 / 特性方程式の方法 / ランダム行列理論 / 1階偏微分方程式系 / Hamilton-Jacobi方程式 / スーパー空間 / Dirac方程式 / 経路積分 / number operator / random-fractal / diffusion process / semi-group / non-linear equation / Gaussian measure / generalized functional / white noise / 非線形発展方程式 / マルコフ過程 / カオス / 白色雑音 / ナンバー作用素 / ランダムフラクタル / 拡散過程 / セミグループ / 非線形方程式 / ガウス測度 / 超汎関数 / White noise / 分解不可能連続体 / 局所連結連続体 / スパン / シュードアーク / 位相共軛性 / エントロピー / 拡張型同相写像 / probe methcd / nc respcnse test / 熱伝導方程式 / 境界値逆問題 / 散乱の逆問題 / 熱作用素 / 介在物 / 熱伝導体 / 基本解の勾配微分評価 / 不連続係数熱作用素 / Neumann-Diriclet map / dynamical probe method / サーモグラフィー / 非破壊検査法 / 流体方程式 / thermography / 散乱 / 双曲幾何学 / 双曲計量 / 散乱行列 / S行列 / 散乱理論 / EIT / ディリクレ・ノイマン写像 / 調和形式 / モノポール / 接触多様体 / エネルギー法 / 特異性の発生 / 解の漸近挙動 / 大域解 / 局所解 / 熱弾性体方程式 / 弾性体方程式 / 混合問題 / コーシー問題 / 双曲型作用素 / コホモロジー次元 / ブール値解析 / ANR空間 / Feller semigroup / ファジィ位相空間 / C^*埋蔵性 / 確率過程 / 弾性波動 / 非線形 / 擬徴分作用素 / 双曲型 / 偏徴分方程式 / 一般境界値問題 / 最適性 / ランダム・ポテンシャル / シュレ-ディンガ-作用素 / 極限定理 / 両側マルコフ過程 / 容量の対生 / レヴィ-過程 / コンパクトリ-群 / 孤立特異点 / レビ過程 / Feller半群 / 超局所アプリオリ評価 / フ-リエ乗法因子 / 偏微分方程式 / 作用素の有界性 / 擬微分作用素 / 重複次数のBesov空間 / 微分可能性の次数 / 函数空間 Less

Reconstruction schemes for inverse problems identifying unknown oefficients and boundaries for partial differential equations
- Principal Investigator
  
  NAKAMURA Gen
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Study of nonlinear boundary value problems by topological methodsPrincipal Investigator
- Principal Investigator
  
  TAIRA Kazuaki
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Development of numerical computation brought by spectral theory and geometry
- Principal Investigator
  
  ISOZAKI Hiroshi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Inverse problems in Mathematical Biology, Chemistry and TechnologyPrincipal Investigator
- Principal Investigator
  
  TAIRA Kazuaki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Harmonic analysis on Grassmann manifolds and its applications to Radon transforms and inverse problems
- Principal Investigator
  
  KAKEHI Tomoyuki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
STRACTURE OF PARTIAL DIFFERENTIAL EQUATIONS BY SMOOTHING EFFECT
- Principal Investigator
  
  KAJITANI Kunihiko
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  UNIVERSITY OF TSUKUBA
Singular Integral Operators and Nonlinear ProblemsPrincipal Investigator
- Principal Investigator
  
  TAIRA Kazuaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Global properties of differential operators of subdeterminantal type and integral geometry on symmetric spaces
- Principal Investigator
  
  KAKEHI Tomoyuki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  University of Tsukuba
Development from prehomogeneous vector spaces to weakly spherical homogeneous spaces
- Principal Investigator
  
  KIMURA Tatsuo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Smoothing effect of Partial differential equations
- Principal Investigator
  
  KUNIKIKO Kajitani
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  Tsukuba University
Irreducible unitary representation of non compact quantum group SUq(1,1) and its quantum symmetric space
- Principal Investigator
  
  MASUDA Tetsuya
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  University of Tsukuba
Integrated Research on Equilibrium Random Phenomena
- Principal Investigator
  
  KUBO Izumi
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
Brownian Motion and Nonlinear Boundary Value ProblemsPrincipal Investigator
- Principal Investigator
  
  TAIRA Kazuaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Probabilistic and statistical approach to spectra of quantum Hamiltonians.
- Principal Investigator
  
  MINAMI Nariyuki
- 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
  University of Tsukuba
A new development of the study for the system of PDE
- Principal Investigator
  
  INOUE Atsushi
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
Nonlinear analysis and applications
- Principal Investigator
  
  OHARU Shinnosuke
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY
Probabilistic and Analytical Research of White Noise System
- Principal Investigator
  
  KUBO Izumi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  HIROSHIMA UNIVERSITY
接触構造と調和積分
- Principal Investigator
  
  伊藤光弘
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
非線形発展方程式の解の構造の研究
- Principal Investigator
  
  柴田良弘
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
徴分方程式および作用素論と関連分野の研究
- Principal Investigator
  
  松村睦豪
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
位相積空間の幾何学的及び解析学的考察
- Principal Investigator
  
  保科隆雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tsukuba
双曲型作用素の研究
- Principal Investigator
  
  若林誠一郎
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
多次元拡散過程及び関連分野の研究Principal Investigator
- Principal Investigator
  
  平良和昭
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
偏微分方程式に対する初期値問題における諸問題
- Principal Investigator
  
  梶谷邦彦
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
確率論的手法による数学諸分野の研究
- Principal Investigator
  
  神田護
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Tsukuba
函数空間論とそれに関連する解析学と幾何学の研究
- Principal Investigator
  
  村松寿延
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
偏微分方程式の境界値問題とMellin擬微分作用素
- Principal Investigator
  
  鈴木文夫
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
幾何学的トポロジーにおける力学系の研究
- Principal Investigator
  
  児玉之宏
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tsukuba

All 2009 2008 2006 2005 2004

All Journal Article Presentation Book

[Book] Boundary value problems and Markov processe2009
- Author(s)
  Kazuaki Taira
- Total Pages
  196
- Publisher
  Springer-Verlag (Germany)
- Data Source
  KAKENHI-PROJECT-19540162
[Book] Boundary value problems and Markov processes, Lecture Notes in Mathematics, 1499号2009
- Author(s)
  Kazuaki Taira
- Total Pages
  196
- Publisher
  Second Edition, Springer-Verlag
- Data Source
  KAKENHI-PROJECT-19540162
[Book] Singular integrals and Feller semigroups2005
- Author(s)
  Kazuaki Taira
- Total Pages
  490
- Publisher
  American Mathematical Society
- Data Source
  KAKENHI-PROJECT-16340031
[Journal Article] On the existence of Feller semigroups with discontinuous coefficients II2009
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Acta Mathematica Sinica(English Series) 25巻5号
  
  Pages: 715-740
- NAID
  120007130423
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540162
[Journal Article] Multiple solutions of semilinear degenerate elliptic boundary value problems2009
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Mathematische Nachrichten 282巻(印刷中)
- NAID
  120007132560
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540162
[Journal Article] On the existence of Feller semigroups with discontinuous coefficients II2009
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Acta Mathematica Sinica (English Series) 25巻2号
- NAID
  120007130423
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540162
[Journal Article] Degenerate elliptic eigenvalue problems with indefinite weights2008
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Mediterranean Journal of Mathematics 5巻2号
  
  Pages: 133-162
- NAID
  120007130407
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540162
[Journal Article] Degenerate elliptic boundary value problems with indefinite weights2008
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Mediterranean Journal of Mathematics 5巻2号
  
  Pages: 133-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540162
[Journal Article] Introduction to boundary value problems of nonlinear elastostatics2008
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Tsukuba Journal of Mathematics 32巻1号
  
  Pages: 67-138
- NAID
  120007129459
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540162
[Journal Article] Degenerate elliptic boundary. value problems with indefinite weights2008
- Author(s)
  K. Taira
- Journal Title
  
  Mediterannean Journal of Mathematics 5
  
  Pages: 133-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340034
[Journal Article] Introduction to boundary value problems of nonlinear elastostatics2008
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Tsukuha Journal of Mathematics 32巻1号
  
  Pages: 67-138
- NAID
  120007129459
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540162
[Journal Article] Angelo FAVINI and Silvia ROMANELLI, Degenerate elliptic operators with general boundary conditions and Feller semigroups2006
- Author(s)
  Kazuaki TAIRA
- Journal Title
  
  Far East Journal of Applied Mathematics Volume 24, Number 1
  
  Pages: 1-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340031
[Journal Article] On the existence of Feller semigroups with discontinuous coefficients2006
- Author(s)
  Kazuaki TAIRA
- Journal Title
  
  Acta Mathematica Sinica (English Series) Volume 22, Number 2
  
  Pages: 595-606
- NAID
  120007130424
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340031
[Journal Article] Degenerate elliptic operators with general boundary conditions and Feller semigroups2006
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Far East Journal of Applied Mathematics 24・1
  
  Pages: 1-22
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340031
[Journal Article] On the existence of Feller semigroups with discontinuous coefficients2006
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Acta Mathematica Sinica (English Series) 22・2
  
  Pages: 595-606
- NAID
  120007130424
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340031
[Journal Article] On the existence of Feller semigroups with discontinuous coefficients2005
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Acta Mathematica Sinica (English Series) 21・1(未定)
- NAID
  120007130424
- Data Source
  KAKENHI-PROJECT-16340031
[Journal Article] Diffusive logistic equations with degenerate boundary conditions2004
- Author(s)
  Kazuaki Taira
- Journal Title
  
  Mediterranean Journal of Mathematics 1・3
  
  Pages: 315-365
- NAID
  120007130409
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340031
[Journal Article] Diffusive logistic equations with degenerate boundary conditions2004
- Author(s)
  Kazuaki TAIRA
- Journal Title
  
  Mediterranean Journal of Mathematics Volume 1, Number 3
  
  Pages: 315-365
- NAID
  120007130409
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340031
[Presentation] 半線形退化楕円型境界値問題のLP理論2008
- Author(s)
  平良和昭
- Organizer
  第17回関数空間セミナー特別講演
- Place of Presentation
  東京理科大 (東京)
- Year and Date
  2008-12-25
- Data Source
  KAKENHI-PROJECT-18340034

1. WAKABAYASHI Seiichirou (10015894)

# of Collaborated Projects: 13 results

# of Collaborated Products: 0 results
2. KAJITANI Kunihiko (00026262)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. 神田護 (80023597)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. 柴田良弘 (50114088)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. MINAMI Nariyuki (10183964)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. KINOSHITA Tamotu (90301077)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. KAKEHI Tomoyuki (70231248)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. NAKAMURA Gen (50118535)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. YAGI Atsushi (70116119)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. MIYACHI Akihiko (60107696)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. KIMURA Tatsuo (30022726)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. 保城寿彦 (40211544)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. 保科隆雄 (00015893)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. KAWAMURA Kazuhiro (50036084)

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TAIRA Kazuaki 平良 和昭

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Study of nonlinear boundary value problems by topological methodsPrincipal Investigator

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Inverse problems in Mathematical Biology, Chemistry and TechnologyPrincipal Investigator

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Singular Integral Operators and Nonlinear ProblemsPrincipal Investigator

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Brownian Motion and Nonlinear Boundary Value ProblemsPrincipal Investigator

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TAIRA Kazuaki 平良和昭