YAMADA Naoki 山田直記

… Alternative Names

山田直紀ヤマダナオキ

山田直記ヤマダナオキ

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Researcher Number	50030789
Other IDs
Affiliation (based on the past Project Information) *help	2015: 福岡大学, 理学部, 教授 2009 – 2012: 福岡大学, 理学部, 教授 1997 – 2005: 福岡大学, 理学部, 教授 1992 – 1996: 宮崎大学, 工学部, 教授 1987 – 1990: 神戸大学, 理学部, 講師 1986: 神戸大学, 理学部, 助手
Review Section/Research Field	Principal Investigator 解析学 Except Principal Investigator 解析学 / Basic analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis
Keywords	Principal Investigator 粘性解 / 障害物問題 / 導関数の評価 / Keller-Segel 方程式 / 半線形楕円型方程式 / Keller-Segel系 / 非線形偏微分方程式 / viscosity solutions / Keller-Segel system / semilinear elliptic equations … More / クリスタライン曲率 / 相分離 / 走化性方程式系 / 球対称解 / obstacle problem / Viscosity solutions / Crystalline curvature … More Except Principal Investigator 粘性解 / 楕円型偏微分方程式 / 全域解 / 非線形微分方程式 / 特異解 / ブラックホール解 / ホワイトホール解 / 関数方程式 / 弱KAM理論 / 最適制御 / 完全非線形楕円型偏微分方程式 / 特異摂動 / 微積分方程式 / 非線形偏微分方程式 / 漸近挙動 / 解の構造 / 対称解 / 解の振動 / マルコフ連鎖 / マルコフ決定過程 / ベクトル値決定論 / 振動・非振動解 / オッズ比の検定 / 球対称解 / 消滅特異解 / ハミルトン・ヤコビ方程式 / 曲率流方程式 / 数理ファイナンス / 比較原理 / 比較定理 / 強最大値原理 / Navier-Stokes 方程式 / Stokes 方程式 / 角がある領域 / 解の特異性 / 扇形領域 / 角の近くでの特異性 / Fourier-Bessele展開 / ヘルダー評価 / Navier-stokes方程式 / Stokes方程式 / Navier-Stokes方程式 / 非定常流 / 熱方程式 / Poisson方程式 / 非線形楕円型偏微分方程式 / 全域解の一意性 / 確率微分方程式 / 確率制御 / 確率ゲーム / 変分不等式 / ハシルトンーヤコビ方程式 / パンルベ方程式 / 確率場 / 非線形楕円型方程式 / 特異性を持つ微分方程式 / 特異性をもつ微分方程式 / nonlinear differential equation / singular differential equation / singular solution / black hole solution / white hole solution / 劣微分 / viscosity solution / subdifferential / H-変換 / H-関数 / 特殊関数 / 単葉関数 / フレンケルの補題 / ハミルトンヤコビ方程式 / 接続問題 / 分数微積分 / Hanilton-Jacobi方程式 / H-transformation / H-function / Special function / Univalent function / Frankel's lemma / Hamilton-Jacob equation / Continuation problem / Fractional calculus / 曲面の発展方程式 / 完全非線形偏微分方程式 / 弱ＫＡＭ理論 / 最適制御理論 / 関数方程式，米国，フランス，イタリア / 粘性解，米国，フランス，イタリア / 完全非線形偏微分方程式，米国，フランス，イタリア / 最適制御理論，米国，フランス，イタリア / 弱KAM理論，米国，フランス，イタリア / 曲面の発展方程式，米国，フランス，イタリア / 最適制御，米国，フランス，イタリア Less

Deepening of the theory of viscosity solutions and its applications
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Mathematical analysis to non-stationary Navier-Stokes equations in the domain with a corner.
- Principal Investigator
  
  TANAKA Naoto
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Fukuoka University
RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
H-transformations and their applications to families of univalent and multivalent functions.
- Principal Investigator
  
  SAIGO Megumi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Fukuoka University
非線形微分方程式の特異解の統一的研究
- Principal Investigator
  
  KUSANO Takashi
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Fukuoka University
Study of viscosity solutions for partial differential equations with subdifferentialPrincipal Investigator
- Principal Investigator
  
  TANAKA Naoto, 山田直記
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Fukuoka University
Studies on singular solutions of nonlinear differential equations.
- Principal Investigator
  
  KUSANO Takasi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Fukuoka University
Asymptotics of the solutions of nonlinear partial differential equations and their applications to phase transitionPrincipal Investigator
- Principal Investigator
  
  YAMADA Naoki
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
非線形楕円型偏微分方程式の解の存在とその挙動について
- Principal Investigator
  
  緒方明夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Miyazaki
連続時間ベクトル値マルコフ決定過程の凸最適解の研究
- Principal Investigator
  
  伊喜哲一郎
- 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
  University of Miyazaki
Viscosity solutions of nonlinear partial differential equations and its applicationsPrincipal Investigator
- Principal Investigator
  
  YAMADA Naoki
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Miyazaki University
非線形楕円型偏微分方程式の解の存在とその挙動について
- Principal Investigator
  
  緒方明夫
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Miyazaki
非線形楕円型偏微分方程式の全域解の構造
- Principal Investigator
  
  KAWANO Nichiro
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Miyazaki
完全非線形楕円型偏微分方程式の境界値問題の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形2階偏微分方程式の粘性解と変分問題の研究Principal Investigator
- Principal Investigator
  
  山田直記
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形楕円型偏微分方程式の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
確率微分方程式と制御理論への応用
- Principal Investigator
  
  西尾真喜子
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
確率ゲームと関連した非線形楕円型偏微分方程式の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University

All 2010 2009 2008 2007 2006

All Journal Article Presentation Book

[Book] Proceedings of the International Conference on the 25th Anniversary of Viscosity Solutions2008
- Author(s)
  Y. Giga, K. Ishii, S. Koike, T. Ozawa, N. Yamada (編集)
- Total Pages
  255
- Publisher
  学校図書
- Data Source
  KAKENHI-PROJECT-18204009
[Book] 現象の数理モデルと発展方程式2007
- Author(s)
  N.Yamada(編者)
- Total Pages
  155
- Publisher
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-18204009
[Book] 現象の数理モデルと発展方程式2006
- Author(s)
  山田直記
- Total Pages
  166
- Publisher
  京都大学数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Existence of non-radially symmetric viscosity solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in the plane, Part II2010
- Author(s)
  N.Yamada, K.Maruo
- Journal Title
  
  Differential Equations & Applications
  
  Volume: 2 Pages: 377-408
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540239
[Journal Article] Existence of non-radially symmetric viscosity solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in the plane, part II.2010
- Author(s)
  Maruo, Kenji; Naoki, Yamada
- Journal Title
  
  Differ. Equ. Appl.
  
  Volume: 2, no. 3 Pages: 377-408
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540239
[Journal Article] Systems of convex Hamilton-Jacobiequations with implicit obstacles and the obstacle problem2009
- Author(s)
  F.Camilli, P Loreti, N.Yamada
- Journal Title
  
  Comm.Pure Appl.Anal. 8
  
  Pages: 1291-1302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Systems of convex Hamilton-Jacobi equations with implicit obstacles and obstacle problem2009
- Author(s)
  F. Camilli, P Loreti, N. Yamada
- Journal Title
  
  Comm. Pure Appl. Anal. (未定)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Application of the Aubry-Mather theory to a system of Hamilton-Jacobi equations with unilateral implicit obstacles2009
- Author(s)
  N.Yamada
- Journal Title
  
  数理解析研究所講究録 1651
  
  Pages: 19-19
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Application of the Aubry-Mather theory to a system of Hamilton-Jacobi equations with unilateral implic it obstacles2009
- Author(s)
  N. Yamada
- Journal Title
  
  数理研講究録 (未定)(掲載確定)
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Existence of non-radially symmetric viscosity solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in the plane. I2008
- Author(s)
  丸尾健二、山田直記
- Journal Title
  
  J. Math. Anal. Appl. 345巻
  
  Pages: 743-753
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Existence of non-radially symmetric viscosity solutions to semilinear degenerate elliptic equations with radially symmetrio coefficients in the plane, Part I2008
- Author(s)
  K. Maruo, N. Yamada
- Journal Title
  
  J. Math. Anal. Appl 345
  
  Pages: 743-753
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Homogenization of Hamilton-Jacobi equations by an extended viscosity solution2006
- Author(s)
  N.Yamada
- Journal Title
  
  Fukuoka Univ.Sci.Rep. Vol.36(in print)
- NAID
  110004101861
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Homogenization of Hamilton-Jacobi eauations by an extended viscosity solution2006
- Author(s)
  N.Yamada
- Journal Title
  
  Fukuoka Univ. Sci. Rep. 36
  
  Pages: 1-5
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Homogenization of Hamilton-Jacobi cquations by an extended viscosity solution2006
- Author(s)
  N.Yamada
- Journal Title
  
  Fukuoka univ. Sci. Rep. 36(in print)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Presentation] 2重非線形 Hemilton-Jacobi 方程式に対する粘性解の比較定理について2010
- Author(s)
  N.Yamada
- Organizer
  第8回偏微分方程式ワークショップ
- Place of Presentation
  壱岐市石田農村環境改善センター
- Year and Date
  2010-03-28
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] ある種の非線形 Hamilton-Jacobi 方程式に対する粘性解の比較定理について2010
- Author(s)
  N.Yamada
- Organizer
  ワークショップ「非線形発展方程式とその周辺」
- Place of Presentation
  神戸大学海事科学部
- Year and Date
  2010-03-21
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 2重非線形ハミルトンヤコビ方程式の粘性解について2010
- Author(s)
  山田直記
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  九州工業大学
- Year and Date
  2010-11-13
- Data Source
  KAKENHI-PROJECT-22540239
[Presentation] 制限条件をもつハミルトンヤコビ型変分不等式の解の表現公式について2009
- Author(s)
  N.Yamada
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  九州工業大学
- Year and Date
  2009-11-28
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 仮似変分不等式系とオブリー集合II2008
- Author(s)
  N. Yamada
- Organizer
  第7回偏微分方程式ワークショップ
- Place of Presentation
  マリンパレス鹿児島
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 退化楕円型方程式に対する非球対称な粘性解について2008
- Author(s)
  N. Yamada
- Organizer
  第118回日本数学会九州支部例会
- Place of Presentation
  琉球大学理学部
- Year and Date
  2008-02-02
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Application of the Aubry-Mather theory to a system of Hamilton-Jacobi equations with unilateral implicit obstacles2008
- Author(s)
  N. Yamada
- Organizer
  Viscosity Solutions of Differential Equations and RelatedTopios
- Place of Presentation
  数理解析研究所
- Year and Date
  2008-06-25
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 仮似変分不等式系とオブリー集合2007
- Author(s)
  N. Yamada
- Organizer
  第19回北九州における偏微分方程式研究会
- Place of Presentation
  西日本工業大学
- Year and Date
  2007-11-24
- Data Source
  KAKENHI-PROJECT-18204009

1. KAWANO Nichiro (20040983)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. OGATA Akio (80040921)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. 高野恭一 (10011678)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. 相沢貞一 (20030760)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. KUSANO Takashi (70033868)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. TANAKA Naoto (00247222)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. ISHII Katsuyuki (40232227)

# of Collaborated Projects: 4 results

# of Collaborated Products: 1 results
8. 樋口保成 (60112075)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. 西尾真喜子 (80030758)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. 米山俊昭 (40175021)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. SENBA Takasi (30196985)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. NAGI Hideo (70110848)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. KUROKIBBA Masaki (60291837)

# of Collaborated Projects: 2 results

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14. SUYAMA Yoshihiko (70028223)

# of Collaborated Projects: 2 results

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15. NAITO Manabu (00106791)

# of Collaborated Projects: 2 results

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16. YOSHIDA Norio (80033934)

# of Collaborated Projects: 2 results

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17. ISHII Hitoshi (70102887)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
18. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 2 results

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19. GIGA Yoshikazu (70144110)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
20. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
21. MIKAMI Toshio (70229657)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. FUJITA Yasuhiro (10209067)

# of Collaborated Projects: 2 results

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23. SAIGO Megumi (10040403)

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24. 高山信毅 (30188099)

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25. 藤井憲三 (10090549)

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26. 伊喜哲一郎 (80041010)

# of Collaborated Projects: 2 results

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27. 梶木屋龍治 (10183261)

# of Collaborated Projects: 2 results

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28. 平松豊一 (40029674)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
29. KOBAYASI Kazuo (30139589)

# of Collaborated Projects: 1 results

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30. GOTO Syun'ichi (30225651)

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31. OHNUMA Masaki (90304500)

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32. TANI Atusi (90118969)

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33. ITOH Shigeharu (40193487)

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34. MARUO Kenji (90028225)

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35. YOSHIDA Mamoru (60078607)

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36. FUKUSHIMA Yukio (40099007)

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37. OWA Shigeyoshi (50088506)

# of Collaborated Projects: 1 results

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38. SAITOH Hitoshi (10042607)

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39. MITAKE Hiroyoshi (90631979)

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40. ICHIHARA Naoyuki (70452563)

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41. 佐々木武 (00022682)

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42. 内田素夫 (10221805)

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43. 谷本洋 (00179855)

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44. 藤井良宣 (10218985)

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45. 下村俊 (00154328)

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YAMADA Naoki 山田 直記

山田 直紀 ヤマダ ナオキ

山田 直記 ヤマダ ナオキ

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Study of viscosity solutions for partial differential equations with subdifferentialPrincipal Investigator

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Asymptotics of the solutions of nonlinear partial differential equations and their applications to phase transitionPrincipal Investigator

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Viscosity solutions of nonlinear partial differential equations and its applicationsPrincipal Investigator

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完全非線形2階偏微分方程式の粘性解と変分問題の研究Principal Investigator

YAMADA Naoki 山田直記

山田直紀ヤマダナオキ

山田直記ヤマダナオキ