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YAMADA Naoki  山田 直記

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

    (18 results)
  • Research Products

    (22 results)
  • Co-Researchers

    (45 People)
  •  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
    # of Collaborated Products: 0 results
  • 14.  SUYAMA Yoshihiko (70028223)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  NAITO Manabu (00106791)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  YOSHIDA Norio (80033934)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  ISHII Hitoshi (70102887)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 18.  OTANI Mitsuharu (30119656)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 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
    # of Collaborated Products: 0 results
  • 23.  SAIGO Megumi (10040403)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  高山 信毅 (30188099)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  藤井 憲三 (10090549)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  伊喜 哲一郎 (80041010)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  梶木屋 龍治 (10183261)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 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
    # of Collaborated Products: 0 results
  • 30.  GOTO Syun'ichi (30225651)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  OHNUMA Masaki (90304500)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  TANI Atusi (90118969)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  ITOH Shigeharu (40193487)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  MARUO Kenji (90028225)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  YOSHIDA Mamoru (60078607)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  FUKUSHIMA Yukio (40099007)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  OWA Shigeyoshi (50088506)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  SAITOH Hitoshi (10042607)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  MITAKE Hiroyoshi (90631979)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  ICHIHARA Naoyuki (70452563)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  佐々木 武 (00022682)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  内田 素夫 (10221805)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  谷本 洋 (00179855)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  藤井 良宣 (10218985)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  下村 俊 (00154328)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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