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NARAZAKI Takashi  楢崎 隆

ORCIDConnect your ORCID iD *help
… Alternative Names

楢崎 隆  ナラザキ タカシ

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Researcher Number 70119692
Other IDs
Affiliation (based on the past Project Information) *help 2004 – 2011: 東海大学, 理学部, 教授
1999: 東海大学, 理学部, 助教授
1993 – 1997: 東海大学, 理学部, 助教授
1991: 東海大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
Global analysis
Except Principal Investigator
解析学 / Basic analysis / Global analysis / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
damped wave equation / cut locus / suspended string / hypoellipticity / Tononogov's theorem / oscillating boundary / asymptotic behavior / odd data problem / energy nondecay / quasiperiodic solution … More / periodic solution / scattering theory / local energy decay / L^p-estimates / time-dependent dissipation / Wave equation / L^p-L^q estimates / 準楕円型偏微分作用素 / Topongovの比較定理 / 測地線 / 時間大域解 / 臨界指数 / 消散項を有する波動方程式 / 準楕円性 / Toponogovの比較定理 / 最小跡 / 吊り下げられた紐の方程式 / 境界変動問題 / 漸近挙動 / 奇関数問題 / 消散型波動方程式 … More
Except Principal Investigator
波動方程式 / 凝集点 / 爆発点 / 半線形楕円型 / 漸近挙動 / 周期解 / rotation number / reduction theorem / quasiperiodic solution / Diophantine inequality / periodic boundary condition / noncylindrical domain / wave equation / Vibration of string / Lissajous境界条件 / 一次元波動方程式 / 準同期解 / 弦の挙動 / 円形膜の振動 / リサージュ境界条件 / ディオファントス近似不等式 / 回転指数 / Reduction Theorem / 準周期解 / ディオフォントス不等式 / 周期境界条件 / 非柱状領域 / 弦の振動 / fractional integral / weight / 多重線形作用素 / Herz空間 / Morrey空間 / ハーディー空間 / 特異積分 / 古典解 / 強解 / 大域解 / 初期値境界値問題 / suspended string equation / periodic solutions / global solution / initial-boundary value problem / nonlinear equation / suspended string / Diophantine条件 / Diophantine 条件 / 概周期解 / 双曲型方程式 / 岩澤理論 / 類体論 / コホモロジー論 / CM体 / 岩澤不変量 / 代数体 / 非線形シュレ-ディンガー / 半線型熱方程式 / 非線形シュレディンガー / 半線形熱方程式 / モデルの理論 / オセロゲーム / ニューラルネットワーク / ジャンプナンバー問題 / 計算量の理論 / reduction property / 構造の制限 / 数学的構造 / 非有界な解 / 連分数 / Diophantine近似 / 発展方程式 / 無限次元力学系 Less
  • Research Projects

    (9 results)
  • Research Products

    (16 results)
  • Co-Researchers

    (16 People)
  •  Study of singular integrals and function spaces

    • Principal Investigator
      FURUYA Yasuo
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokai University
  •  Almost periodic oscillations of linear and nonlinear hyperbolic equations

    • Principal Investigator
      YAMAGUCHI Masaru
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokai University
  •  Study of asymptotic behaviors to wave equationsPrincipal Investigator

    • Principal Investigator
      NARAZAKI Takashi, 松山 登喜夫
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokai University
  •  Behavior of solutions of IBVP witrh periodically moving boundary conditions of evolution equations

    • Principal Investigator
      YAMAGUCHI Masaru
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokai University
  •  岩澤理論に関連した代数体の研究

    • Principal Investigator
      堀江 邦明
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokai University
  •  数理物理に現れる偏微分方程式の解の形の研究

    • Principal Investigator
      伊藤 達夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokai University
  •  数理物理に現れる偏微分方程式の解の形の研究

    • Principal Investigator
      ITOH Tatuo
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokai University
  •  数学的構造における決定手続きの研究

    • Principal Investigator
      〓梗 宏孝
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokai University
  •  非線型発展方程式と無限次元力学系の研究

    • Principal Investigator
      YAMAGUCHI Masaru
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokai University

All 2010 2009 2008 2006 2005

All Journal Article Presentation

  • [Journal Article] (with Nishihara, Kenji)Asymptotic behavior of solutions for the damped wave equation with slowly decaying data2008

    • Author(s)
      楢崎隆(Takashi Narazaki)
    • Journal Title

      J. Math. Anal. Appl. 338, no.2

      Pages: 803-819

    • Data Source
      KAKENHI-PROJECT-18540220
  • [Journal Article] Asymptotic behavior of solutions for the damped wave equation with slowly decaying data2008

    • Author(s)
      T.Narazaki(with K.Nishihara)
    • Journal Title

      J.Math.Anal.Appl. 338

      Pages: 803-819

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Journal Article] Asymptotic behavior of solutions for the damped wave equation with slowly decaying data2008

    • Author(s)
      Takashi Narazaki and Kenji Nishihara
    • Journal Title

      Journal of. Mathematical Analysis and Applications 338

      Pages: 803-819

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Journal Article] Asymptotic behavior of solutions for the damped wave equation with slowly decaying data.2008

    • Author(s)
      T, Narazaki, K, Nishihara
    • Journal Title

      J. Math. Anal. Appl 338-2

      Pages: 803-819

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Journal Article] Asymptotic behavior of solutions for the damped wave equation with slowly decaying data2008

    • Author(s)
      T. Narazaki, K. Nishihara
    • Journal Title

      J. Mathematical Analysis and Applications 338

      Pages: 803-819

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540220
  • [Journal Article] L^p-L^q estimates for damped wave equations with odd initial data2005

    • Author(s)
      T.Narazaki
    • Journal Title

      Electronic Journal of Differential Equations 2005巻・74号

      Pages: 1-17

    • Data Source
      KAKENHI-PROJECT-16540205
  • [Journal Article] L^p-L^q estimates for damped wave equations with odd initial data2005

    • Author(s)
      T, Narazaki
    • Journal Title

      Electron. J. Differential Equations 2005-74

      Pages: 1-17

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Journal Article] L^p-L^p estimates for damped wave equations with odd initial data2005

    • Author(s)
      T.Narazaki
    • Journal Title

      Electron.J.Differential Equations 2005

      Pages: 1-17

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Journal Article] Decay estimates for damped wave equation with weighted odd initial data.2005

    • Author(s)
      T, Narazaki
    • Journal Title

      Nonlinear Analysis(electronic) 63

      Pages: 1737-1747

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Journal Article] Decay estimates for damped wave equation with weighted odd initial data2005

    • Author(s)
      T.Narazaki
    • Journal Title

      Nonlinear Analysis(electronic) 63

      Pages: 1737-1747

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Presentation] Cauchy problem for the system of damped wave equations with slowly decayine data2010

    • Author(s)
      楢崎隆
    • Organizer
      発展方程式シンポジウム
    • Place of Presentation
      東海大学
    • Year and Date
      2010-03-12
    • Data Source
      KAKENHI-PROJECT-21540199
  • [Presentation] Cauchy problem for the system for damped wave equations with slowly decaying data2010

    • Author(s)
      楢崎隆
    • Organizer
      発展方程式シンポジウム
    • Place of Presentation
      東海大学
    • Year and Date
      2010-03-12
    • Data Source
      KAKENHI-PROJECT-21540199
  • [Presentation] Global solutions to Cauchy problem for the weakly coupled system of damped wave equations2009

    • Author(s)
      楢崎隆
    • Organizer
      第16回 応用解析研究会シンポジウム
    • Place of Presentation
      箱根
    • Data Source
      KAKENHI-PROJECT-18540220
  • [Presentation] Global solutions to the Cauchy problem for the system of damped wave equations2008

    • Author(s)
      楢崎隆
    • Organizer
      7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Texas, USA
    • Data Source
      KAKENHI-PROJECT-18540220
  • [Presentation] Asymptotic behavior of damped beam equations2006

    • Author(s)
      楢崎 隆
    • Organizer
      International Conference on Nonlinear Evolutionary Partial Differential Equations
    • Place of Presentation
      西寧(中国)
    • Year and Date
      2006-08-01
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540205
  • [Presentation] Asymptotic behavior of damped beam equations2006

    • Author(s)
      T, Narazaki
    • Organizer
      International Conference on Nonlinear Evolutionary Partial Differential Equations
    • Place of Presentation
      Xinig, Qinghai, China
    • Year and Date
      2006-08-01
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540205
  • 1.  YAMAGUCHI Masaru (10056252)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  TANAKA Minoru (10112773)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  ITOH Tatuo (20151516)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  AKAMATSU Toyohiro (00112772)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  SUGITA Kimio (60056083)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  MATSUYAMA Tokio (70249712)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  和泉澤 正隆 (50108445)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  内村 桂輔 (20092835)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  永瀬 輝男 (90164425)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  〓梗 宏孝 (80204824)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  花沢 正純 (50008851)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  成嶋 弘 (90056200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  岩田 茂樹 (80102028)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  吉田 節三 (60055770)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  堀江 邦明 (20201759)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  FURUYA Yasuo (70234903)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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