ARISAWA Mariko 有澤真理子

… Alternative Names

有澤眞理子アリサワマリコ

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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 / Global analysis / Global analysis / 解析学
Keywords	Principal Investigator 粘性解理論 / ホモジェニゼイション / エルゴード問題 / numerical analysis / ergodic problem / homogenizations / mathematical finances / Hamilton-Jacobi-Bellman equation / viscosity solutions / optimal stochastic control … More / nonlinear partial differential equations / 数理ファイナンス / 最適制御 / 確率解析と非線形偏微分方程式の関わり / 非線形偏微分方程式の数値解析 / 変分法の数理生物学への応用 / 界面の発展方程式 / ハミルトンャコビベルマン方程式の数理ファイナンスへの応用 / ショックの現れる非線形一階偏微分方程式の解の存在と一意性 / 非線形熱方程式の解の安定性 / 非線形退化楕円型方程式の解の平滑性 / 偏微分方程式の数値解析 / 最適制御理論 / 非完備金融市場モデル / 多重スケールモデル / 数値解析 / 社会科学の数理モデル / ジャンプ付株価モデル / レヴィー過程 / 非線型積分偏微分方程式 / 平滑化作用 / 粘性解 / 積分偏微分方程式 / 多重スケールモデル / 確率制御 / 非線型楕円型方程式 / 多重スケール系 / 反射型境界値問題 / 確立過程 / 粘性解、解の滑らかさ / 非線型偏微分方程式 … More Except Principal Investigator Dirichlet eigenvalue problem / Yang-Mills connection / 熱核 / ディリクレ固有値問題 / ヤング・ミルズ接続 / null condition / Hardy space / ハーディー空間 / visualization / biharmonic map / bi-Yang-Mills connection / Ricci curvature / convergence rate / heat kernel / レビ平坦構造 / コーシー・リーマン・リー群 / ノイマン固有値問題 / カラビ・ヤウ多様体 / ケーラー多様体 / ディラック作用素 / 複素スピン構造 / サイバーグ・ウィッテン方程式 / 孤立現象 / 2-ヤング・ミルズ場 / ヤング・ミルズ場 / 調和写像 / 数値計算プログラム / ノイマン境界値固有値問題 / ディリクレ境界値固有値問題 / 可視化 / 2-調和写像 / 2-ヤング・ミルズ接続 / リッチ曲率 / 収束比率 / Poisson integral / Klein-Gordon equation / Cauchy-Riemann equation / Orlicz-norm / grand maximal function / non-tangential maximal function / vertical maximal function / 疑似双直交基 / 疑似直交基 / 岩澤不変量 / 振動レイマン境界条件 / 直行最大関数 / 渦度方程式 / クレイン・ゴードン方程式 / コーシー・リーマンの方程式 / オルリッツ空間 / ハーディー空関 / ポアソン積分 / クレイ・ゴードン方程式 / コーシー・リーマン方程式 / オルリッツ・ノルム / グランド最大関数 / 非接最大関数 / 直交最大関数 / symplectic manifold / Green kernel / oseudharmonic map / affine connection / infinite graph / finite element method / ヤングミルズ接続 / 共役接続 / 擬エネルギー汎関数 / 非退化CR多様体 / 離散計算幾何 / 固有値 / 境界値問題 / 鋭角三角形分割 / チーガー定数 / モデュライ空間 / ワイル接続 / ヤング・ミズル接続 / シンプレクティック多様体 / グリーン核 / 擬調和写像 / アファイン接続 / 無限グラフ / 有限要素法 / weak solution / initial value problem / modified KdV equation / well-posedness / global existence in time / Maxwell-Higgs equations / Dirac-Proca equations / 解の正則性 / 非線形波動方程式 / 解の漸近挙動 / 時間大域解 / 零条件(null condition) / 特異摂動 / 振動積分 / フーリエ制限空間 / 解の連続依存性 / 周期境界条件 / 初期値問題の適切性 / 修正KdV方程式 / 弱解 / 初期値問題 / 修正kdV方程式 / 適切性 / 時間大域存在 / Maxwell-Higgs方程式 / Dirac-Proca方程式 / Maximal operator / Transference problem / Fourier multiplier operator / ハ-ディー空間 / 対数ソボレフ不等式 / ループ空間 / 最大関数 / 最大作用素 / 移転問題 / フーリエ乗積作用素 / 画像処理 / 粘性解理論 / 曲率流方程式 / 濃淡関数 / 等高面法 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