SHOJI Mayumi 東海林まゆみ

… Alternative Names

Researcher Number	10090523
Other IDs
Affiliation (based on the past Project Information) *help	2016: 日本女子大学, 理学部, 教授 1999 – 2007: Meiji University, Dept. of Science and Technology, Professor, 理工学部, 教授 1998: 東北大学, 大学院理学研究科, 教授 1995 – 1998: 東北大学, 大学院・理学研究科, 教授 1996: 東北大学, 理学系研究科, 教授 … More
Review Section/Research Field	Principal Investigator 解析学 / Global analysis / Global analysis Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Geometry / Science and Engineering
Keywords	Principal Investigator ナヴィエ・ストークス方程式 / 反応・拡散系 / ナビエ・ストークス方程式 / 分岐理論 / 磁気流体 / Navier-Stokes equations / 近似解 / 積公式 / 反応拡散系 / 関数方程式 … More Except Principal Investigator 非線形偏微分方程式 / 特異摂動 / 反応拡散系 / 極小曲面 / Navier-Stokes equation / 力学系 / 解の爆発 / 特異点 / 経路積分 / 反応拡散方程式系 / ノイマン環 / 安定性 / 集中現象 / 発展方程式 / 基本解 / 非線型問題 / 大偏差原理 / large deviation / 微分方程式 / 計算機援用証明法 / Navier-Stokes方程式 / 熱対流問題 / 解空間の大域的構造 / 分岐問題 / Computer assisted proof / 準周期的ポテンシャル / アンダ-ソン局在 / フラクタル / 応用解析 / 非線形解析 / 力学系の理論 / 無限次元力学系 / 拡散方程式 / 概均質ベクトル空間 / ゼ-タ関数 / 対称空間 / 保型L関数 / 半単純リ-群 / 指標 / 半線型楕円型方程式 / 平均曲率 / 平行移動不変作用素 / フーリエ・マルチプライヤー / テープリッツ作用素 / ハンケル作用素 / ナヴィア・ストークス方程式 / テンソル積 / Lebesgue測度 / リヤプノフ関数 / 解の大域的挙動 / 半群の核表現 / ホール伝導度 / 変分法 / 活性因子-抑制因子系 / 解折性 / 拡散-反應方程式 / アインシュタイン計量 / 【C^】-環のデデキント完備化 / von Newmann環のJordan構造の一意的加法構造 / 【C^】環の正則完備化 / 【AW^】-環 / 【C^】-力学系 / 多次元フーリエ解析 / マルチプライヤー / Kdv方程式 / 微分不等式 / 関数解析 / 自由境界 / 解の分枝 / 非線型固有値問題 / 逆問題 / シュレーダの方程式 / ファトゥ-ビーベルバッハ領域 / 離散力学系 / ホロノミック系 / ヤコビ問題 / 超関数 / ラプラス変換 / ヘビサイド理論 / Dirac方程式 / スーパー空間 / Hamilton-Jacobi方程式 / 1階偏微分方程式系 / ランダム行列理論 / 特性方程式の方法 / 偏微分方程式系 / Fourier積分作用素 / Path integral / Weyl equation / Superspace / Hamilton-Jacobi equation / First order system of PDEs / Dirac equation / Method of characteristics / Random Matrix Theory / 極大関数 / ウェーブレット / 退化楕円型偏微分作用業 / C^-環 / フーリエ変換 / ナヴィエ・ストークス方程式 / ガボー斜交系 / 退化楕円型偏微分作用素 / 調和写像 / C^一環 / 多変数フーリエ変換 / 極大函数 / ガボ-斜交系 / 非線形双曲形方程式 / 非線形放物形方程式 / ハ-ル基底 / 擬微分作用素 / C^-代数 / 多変数フーリエ交換 / maximal function / wavelet / degenerate elliptic operator / minimal surface / C^-algebra / Fourier transform / 反応拡散方程式 / スパイク解 / 遷移層 / 半線型楕円型偏微分方程式 / パターン形式 / 遷移過程 / 活性因子 / reaction-diffusion system / singular perturbation / spike-layer solutions / transition layer / stability / 対称マルコフ過程 / ディリクレ形式 / 加法的汎関数 / ファインマン-カッツの公式 / ディリクレ形成 / ディクレ形式 / ファイマン-カッツ汎関数 / 大変差原理 / symmetric Markov process / Dirichlet form / additive functional / Feynman-Kac formula / 数理科学 / 大域解析学 / シンプレクティック幾何 / 組み合せ論 / 類体論 / 群論 / 特異点論 / 可積分系 / 微分幾何学 / リー群 / 幾何構造 / 組み合わせ論 / トポロジー / 表現論 / 等質空間 / シンプレクティック幾何学 / CR幾何学 / 過剰決定系 / 幾何解析 / Mathematical science / Global analysis / Symplectic geometry / Combinatorics / Class field theory / Group theory / Singularities / Integrable system / 大域的分岐構造 / 退化特異点からの分岐 / Taylor問題 / 縮約系の大域的解析 / 精度保証付き数値計算 / 粘性的衝撃波 / 燃焼合成反応 / 大域的な分岐構造 / 退化特異点の摂動 / roll,六角形cell / Reynolds数,Rayleigh数 / 特異摂動的力学系 / Nonlinear PDE / Global bifurcation structure / Bifurcation from degenerate singular points / Dynamical system / Heat convection problem / Taylor-Couette problem / 特異性 / 特異極限 / 非線形問題 / 分岐理論 / 界面 / singularity / singular perturbation method / singular limit / blow-up of solutions / nonlinear problems / dynamical systems / bifurcation theory / interface / 離散幾何解析学 / 結晶格子 / ランダム・ウォーク / 多面体 / 離散幾何解析 / 大偏差理論 / 磁場つき離散シュレディンガー作用素 / 乱歩 / エントロピー関数 / describe geometric analysis / crystal lattice / random walk / 非線形波動 / 粘性衝撃波 / 外部問題 / Nonlinear partial differential equations / Global structure of solution space / Heat convection problems / Dynamical systems / Nonlinear waves / Bifurcation problems / 非線形非平衡系 / 遷移ダイナミクス / 反応拡散系理論 / 細胞インテリジェンス / 生態系モデル / 葉脈形成 / バクテリアコロニー形成 / フロント・スポットの相互作用 / 大腸菌コロニー形成 / パルス相互作用 / 特異極限法 / スポットダイナミクス / 伝染病の伝播 / 有限資源・消費者系 / 進行波 / パルスダイナミクス / 反応拡散系の数値計算 / 界面ダイナミクス / 成長パターン形成 / 中心多様体理論 / Nonlinear-non-equilibrium system / Transient dynamics / Reaction-diffusion system theory / Cell intelligence / Ecological models / Venation formation / Formation of bacterial colonies / Interaction of fronts and spots / ハーディ空間 / 調和函数 / 劣調和函数 / 半単純代数群 / クライン群 / 作用変還 / 補間定理 / Harmonic function / subharmonic function / Hardy space / Operator algebra / Evolution equation / Semi-simple group / D-module / 数理流体力学 / 2次元流れ / 高レイノルズ数 / 分岐 / 流体 / 解析学 / ナヴィエ－ストークス方程式 / 解の分岐 / 水面波 / 流体力学 / 応用数学 Less

Applied analysis of equations of incompressible fluid motions
- Principal Investigator
  
  Okamoto Hisashi
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
Study on Navier-Stokes equations and the related nonlinear differential equationsPrincipal Investigator
- Principal Investigator
  
  MASUDA Kyuya
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
Mathematical Approach to Nonlinear-Non-equilibrium Phenomena - Understanding of Transient Spatio-temporal Patterns-
- Principal Investigator
  
  MIMURA Masayasu
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meiji University
  Hiroshima University
Research on the Navier-Stokes equation and the related topics on the nonlinear differential equationsPrincipal Investigator
- Principal Investigator
  
  MASUDA Kyuya
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
Applied Analysis for Nonlinear Systems
- Principal Investigator
  
  NISHIDA Takaaki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
Commutative and Non-commutative Bloch Theory
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
  Tohoku University
Study on Navier-Stokes equations and related nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  MASUDA Kyuya
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
Study of the Mathematical structure of singularities
- Principal Investigator
  
  MATANO Hiroshi
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas (B)
- Review Section
  
  Science and Engineering
- Research Institution
  The University of Tokyo
Fundamentals and Applications of Mathematics
- Principal Investigator
  
  NISHIKAWA Seiki
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
Comprehensive Research Toward the Global Theory for the System of Nonlinear Partial Differential Equations
- Principal Investigator
  
  NISHIDA Takaaki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Global analysis
- Research Institution
  KYOTO UNIVERSITY
Study on Navier-Stokes equations and related nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  MASUDA Kyuya
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
  Tohoku University
非線形光学の数学的理論の構築Principal Investigator
- Principal Investigator
  
  増田久弥
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  解析学
- Research Institution
  Meiji University
  Tohoku University
Singularly perturbed solutions of reaction-diffusion systems and concentration phenomena
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
Symmetric Markov processes and Dirichlet forms
- Principal Investigator
  
  TAKEDA Masayoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  TOHOKU UNIVERSITY
  Osaka University
微分方程式の解の大域的挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
変分法とその反応拡散方程式系への応用
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
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
Harmonic Analysis and its Applications
- Principal Investigator
  
  IGARI Satoru
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
非線型楕円型境界値問題の解の大域的性質
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学
- Principal Investigator
  
  SAITO Kazuyuki
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
ナヴィエ・ストークス方程式の非線形関数解析的手法による研究Principal Investigator
- Principal Investigator
  
  増田久弥
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
ナヴィエ・ストークス方程式の非線型関数解析的手法による研究Principal Investigator
- Principal Investigator
  
  増田久弥
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Rikkyo University
ナヴィエ・ストークス方程式の非線型関数解析的手法による研究Principal Investigator
- Principal Investigator
  
  増田久弥
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Rikkyo University
概均質ベクトル空間のゼ-タ関数の研究
- Principal Investigator
  
  佐藤文広
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Rikkyo University
非線型偏微分方程式の解の構造の解析およびその構造
- Principal Investigator
  
  俣野博
- 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
  The University of Tokyo
不規則媒質中の微分方程式
- Principal Investigator
  
  小谷眞一
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Tokyo
Study of Nonlinear Partial Differential Equations from the View Point of Functional AnalysisPrincipal Investigator
- Principal Investigator
  
  MASUDA Kyuya
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  University of Tokyo
微分方程式の複素解析的研究
- Principal Investigator
  
  木村俊房
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
複素領域における偏微分方程式の研究
- Principal Investigator
  
  小竹武
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学
- Principal Investigator
  
  斉藤和之
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
非線型問題の数理と現象の解明
- Principal Investigator
  
  藤田宏
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
Studies of Harmonic Analysis
- Principal Investigator
  
  IGARI Satoru
- Project Period (FY)
  1985 – 1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY

All 2016 2012 2007 2006 2005 2003

All Journal Article Presentation

[Journal Article] A blow-up problem for a nonlinear heat equation in the complex plane of time2016
- Author(s)
  C.-H. Cho, H. Okamoto, & M. Shoji
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 33 Pages: 145-166
- DOI
  10.1007/s13160-015-0203-7
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244007, KAKENHI-PROJECT-16KT0018
[Journal Article] Trajectories of fluid particles in a periodic water wave2012
- Author(s)
  H.Okamoto, M.Shoji
- Journal Title
  
  Philos. Trans. R. Soc. A
  
  Volume: 370 Pages: 1661-1676
- DOI
  10.1098/rsta.2011.0447
- NAID
  110008460050
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244006, KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-24244007
[Journal Article] ナビエ。ストークス方程式の数学的展開2006
- Author(s)
  増田久弥
- Journal Title
  
  Foourth Oka Symposium 4
  
  Pages: 83-99
- Data Source
  KAKENHI-PROJECT-18540222
[Journal Article] ナヴィエーストークス方程式の数学的理論の発展2005
- Author(s)
  増田久弥
- Journal Title
  
  Fourth Oka Symposium 4
  
  Pages: 83-99
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540215
[Journal Article] ナビエ・ストークス方程式の数学的展開2005
- Author(s)
  増田久弥
- Journal Title
  
  Fourth Oka Symposium講義録 4
  
  Pages: 83-99
- Data Source
  KAKENHI-PROJECT-15540215
[Journal Article] Development in Mathematiacal theory on Navier-Stokes equations2005
- Author(s)
  K.Masuda
- Journal Title
  
  Reports on Foruht Oka Symposium 4
  
  Pages: 83-99
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540215
[Journal Article] Discrete Lax pair and discrete Toda equation2003
- Author(s)
  K.Masuda
- Journal Title
  
  Commentary Math. Unv. St. Pauli 52
  
  Pages: 191-196
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540215
[Journal Article] Discrete Lax pair and Discrete Toda equation2003
- Author(s)
  K.Masuda
- Journal Title
  
  Comment.Math.Univ., St.Pauli 52
  
  Pages: 191-196
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540215
[Presentation] Finite dimensional exponential attracter for a model for order-disorder phase separation.2007
- Author(s)
  k. Masuda
- Organizer
  International Congress on Mathematics and Statistics
- Place of Presentation
  Athens(Greece)
- Year and Date
  2007-12-06
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540222
[Presentation] Finite-dimensional exponential attracter for a model for order-disorder and phase separation2007
- Author(s)
  K.Masuda
- Organizer
  International Congress on Mahtematics and Statisitics
- Place of Presentation
  アテナ(ギリシャ)
- Year and Date
  2007-06-12
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540222
[Presentation] Finite-dimensional exponential attracter for a model for or(ler-disorder and phase separation2007
- Author(s)
  K.Masuda(増田久弥)
- Organizer
  International Conference on Mathematics and Statistics
- Place of Presentation
  Athens Institute for Educa-tion and Research,Greece
- Year and Date
  2007-06-12
- Data Source
  KAKENHI-PROJECT-18540222

1. TAKAGI Izumi (40154744)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
2. IGARI Satoru (50004289)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. KATO Junji (80004290)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. SAITO Kazuyuki (60004397)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. MATANO Hiroshi (40126165)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. ISHIMURA Naoyuki (80212934)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. TACIZAWA Kazuya (80227090)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. MORIMOTO Hiroko (50061974)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. 小谷眞一 (10025463)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. ARAI Hitoshi (10175953)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. NISHIDA Takaaki (70026110)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. OKAMOTO Hisashi (40143359)

# of Collaborated Projects: 3 results

# of Collaborated Products: 2 results
13. 堀畑和弘 (10229239)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. 小松彦三郎 (40011473)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. BANDO Shigetoshi (40165064)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. KATAOKA Kiyomi (60107688)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. KOKUBU Hiroshi (50202057)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. NAKAO Mitsuhiro (10136418)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. MATSUMURA Akitaka (60115938)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. SUZUKI Takashi (40114516)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. FUKAYA Kenji (30165261)

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SHOJI Mayumi 東海林 まゆみ

MASUDA Kyuya 増田 久弥

増田 久彌 マスダ キュウヤ

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Study on Navier-Stokes equations and the related nonlinear differential equationsPrincipal Investigator

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Research on the Navier-Stokes equation and the related topics on the nonlinear differential equationsPrincipal Investigator

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Study on Navier-Stokes equations and related nonlinear partial differential equationsPrincipal Investigator

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Study on Navier-Stokes equations and related nonlinear partial differential equationsPrincipal Investigator

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非線形光学の数学的理論の構築Principal Investigator

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SHOJI Mayumi 東海林まゆみ

MASUDA Kyuya 増田久弥

増田久彌マスダキュウヤ