ARISAWA Mariko 有澤真理子

… Alternative Names

Researcher Number	50312632
Affiliation (based on the past Project Information) *help	2007: 東北大, 情報科学研究科, 助教授 2006: 東北大学, 大学院情報科学研究科, 助教授 1999 – 2005: Graduate School of Information Sciences, Tohoku University, Associate Professor, 大学院・情報科学研究科, 助教授
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis Except Principal Investigator Basic analysis / 解析学 / Global analysis / Global analysis
Keywords	Principal Investigator エルゴード問題 / ホモジェニゼイション / 粘性解理論 / 最適制御 / 数理ファイナンス / nonlinear partial differential equations / optimal stochastic control / viscosity solutions / Hamilton-Jacobi-Bellman equation / mathematical finances … More Except Principal Investigator ハーディー空間 / Hardy space / null condition / ヤング・ミルズ接続 / ディリクレ固有値問題 / 熱核 / Yang-Mills connection / Dirichlet eigenvalue problem / 等高面法 / 濃淡関数 / 曲率流方程式 / 粘性解理論 / 画像処理 / フーリエ乗積作用素 / 移転問題 / 最大作用素 / 最大関数 / ループ空間 / 対数ソボレフ不等式 / ハ-ディー空間 / Fourier multiplier operator / Transference problem / Maximal operator / Dirac-Proca方程式 / Maxwell-Higgs方程式 / 時間大域存在 / 適切性 / 修正kdV方程式 / 初期値問題 / 弱解 / 修正KdV方程式 / 初期値問題の適切性 / 周期境界条件 / 解の連続依存性 / フーリエ制限空間 / 振動積分 / 特異摂動 / 零条件(null condition) / 時間大域解 / 解の漸近挙動 / 非線形波動方程式 / 解の正則性 / Dirac-Proca equations / Maxwell-Higgs equations / global existence in time / well-posedness / modified KdV equation / initial value problem / weak solution / 有限要素法 / 無限グラフ / アファイン接続 / 擬調和写像 / グリーン核 / シンプレクティック多様体 / ヤング・ミズル接続 / ワイル接続 / モデュライ空間 / チーガー定数 / 鋭角三角形分割 / 境界値問題 / 固有値 / 離散計算幾何 / 非退化CR多様体 / 擬エネルギー汎関数 / 共役接続 / ヤングミルズ接続 / finite element method / infinite graph / affine connection / oseudharmonic map / Green kernel / symplectic manifold / 直交最大関数 / 非接最大関数 / グランド最大関数 / オルリッツ・ノルム / コーシー・リーマン方程式 / クレイ・ゴードン方程式 / ポアソン積分 / ハーディー空関 / オルリッツ空間 / コーシー・リーマンの方程式 / クレイン・ゴードン方程式 / 渦度方程式 / 直行最大関数 / 振動レイマン境界条件 / 岩澤不変量 / 疑似直交基 / 疑似双直交基 / vertical maximal function / non-tangential maximal function / grand maximal function / Orlicz-norm / Cauchy-Riemann equation / Klein-Gordon equation / Poisson integral / 収束比率 / リッチ曲率 / 2-ヤング・ミルズ接続 / 2-調和写像 / 可視化 / ディリクレ境界値固有値問題 / ノイマン境界値固有値問題 / 数値計算プログラム / 調和写像 / ヤング・ミルズ場 / 2-ヤング・ミルズ場 / 孤立現象 / サイバーグ・ウィッテン方程式 / 複素スピン構造 / ディラック作用素 / ケーラー多様体 / カラビ・ヤウ多様体 / ノイマン固有値問題 / コーシー・リーマン・リー群 / レビ平坦構造 / heat kernel / convergence rate / Ricci curvature / bi-Yang-Mills connection / biharmonic map / visualization Less

非線型積分偏微分方程式と社会科学に現れる最適制御Principal Investigator
- Principal Investigator
  
  有澤真理子
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Global analysis of the heat kernels on Riemannian manifolds and graphs
- Principal Investigator
  
  URAKAWA Hajime
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Nonlinear elliptic and parabolic PDEs, theories and applicationsPrincipal Investigator
- Principal Investigator
  
  ARISAWA Mariko
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
画像処理と微分方程式
- Principal Investigator
  
  GIGA Yoshikazu
- Project Period (FY)
  2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Global Analysis of the heat kernel and Green kernel of an Infinite Graph
- Principal Investigator
  
  URAKAWA Hajime
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Characterizations of real Hardy spaces and functional analysis
- Principal Investigator
  
  KANEKO Makoto
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOHOKU University
非線型惰円型・放物型偏微分方程式Principal Investigator
- Principal Investigator
  
  有澤眞理子
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations
- Principal Investigator
  
  TSUTSUMI Yoshio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Studies on Hardy spaces by real analytic methods
- Principal Investigator
  
  KANEKO Makoto
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY

All 2007 2006 2005

All Journal Article

[Journal Article] A localization of the L{'e}vy operators arising in mathematical finances2007
- Author(s)
  M.Arisawa
- Journal Title
  
  Proceedings of the 6th RITS Symposium on "Stochastic Processes and Applications to Mathematical Finance" (Ed.S.Ogawa, J.Akahori, S.Watanaba),(World Scientifics) (掲載決定)
- Data Source
  KAKENHI-PROJECT-17540142
[Journal Article] Corrigendum for the comparison theorems in "A new definition of viscosity solution for a class of second-order degenerate elliptic integro-differential equations"2007
- Author(s)
  M.Arisawa
- Journal Title
  
  Annalles de I.H.P. Analyse nonlin{'e}aire Vol 24-1
  
  Pages: 167-169
- Data Source
  KAKENHI-PROJECT-17540142
[Journal Article] A new definition of viscosity solutions for a class of second order degenerate elliptic integro differential equations2006
- Author(s)
  Arisawa Mariko
- Journal Title
  
  Annales de l'institut Henri Poincare, Analyse nonlineaire (掲載予定)
- Data Source
  KAKENHI-PROJECT-17540142
[Journal Article] A new definition of viscosity solution for a class of second-order degenerate elliptic integro-differential equations2006
- Author(s)
  M.Arisawa
- Journal Title
  
  Annalles de I.H.P. Analyse nonlin{'e}aire Vol 23-5
  
  Pages: 695-711
- Data Source
  KAKENHI-PROJECT-17540142
[Journal Article] Viscosity solutions approach to jump processes arising in mathematical finances2005
- Author(s)
  Arisawa Mariko
- Journal Title
  
  Proceedings of 10^<th> Daiwa International workshop on Financial Engineering Ktoto Uni).
  
  Pages: 267-291
- Data Source
  KAKENHI-PROJECT-17540142

1. KANEKO Makoto (10007172)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. OHNO Yoshiki (80005777)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. URAKAWA Hajime (50022679)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. GIGA Yoshikazu (70144110)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. NAGASAWA Takeyuki (70202223)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. ASOH Tohl (00111352)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. OBATA Nobuaki (10169360)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 内田興二 (20004294)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. ITOH Jin-ichi (20193493)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 後藤俊一 (30225651)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 出口光一郎 (30107544)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 大林茂 (80183028)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 大西匡光 (10160566)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SUZUKI Yoshiya (30005772)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. OKADA Masami (00152314)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 会田茂樹 (90222455)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. TSUTSUMI Yoshio (10180027)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. KOZONO Hideo (00195728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. MIZUMACHI Tetsu (60315827)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. OHTA Masahito (00291394)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 高木泉 (40154744)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 中西賢次 (40322200)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. TAYA Hisao (40257241)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. HIAI Fumio (30092571)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. NAKAMURA Makoto (70312634)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. MIKAMI Toshio (70229657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. SEKINE Jyun (50314399)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 柳田英二 (80174548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 石井仁司 (70102887)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. MUNEMASA Akihiro (50219862)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ARISAWA Mariko 有澤 真理子

有澤 眞理子 アリサワ マリコ

Research Projects

Research Products

Co-Researchers

非線型積分偏微分方程式と社会科学に現れる最適制御Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Global analysis of the heat kernels on Riemannian manifolds and graphs

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Nonlinear elliptic and parabolic PDEs, theories and applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

画像処理と微分方程式

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Global Analysis of the heat kernel and Green kernel of an Infinite Graph

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Characterizations of real Hardy spaces and functional analysis

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

非線型惰円型・放物型偏微分方程式Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on Hardy spaces by real analytic methods

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A localization of the L{'e}vy operators arising in mathematical finances2007

Author(s)

Journal Title

Data Source

[Journal Article] Corrigendum for the comparison theorems in "A new definition of viscosity solution for a class of second-order degenerate elliptic integro-differential equations"2007

Author(s)

Journal Title

Data Source

[Journal Article] A new definition of viscosity solutions for a class of second order degenerate elliptic integro differential equations2006

Author(s)

Journal Title

Data Source

[Journal Article] A new definition of viscosity solution for a class of second-order degenerate elliptic integro-differential equations2006

Author(s)

Journal Title

Data Source

[Journal Article] Viscosity solutions approach to jump processes arising in mathematical finances2005

Author(s)

Journal Title

Data Source

ARISAWA Mariko 有澤真理子

有澤眞理子アリサワマリコ