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ITO Masayuki  伊藤 正幸

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… Alternative Names

伊藤 正幸  イトウ マサユキ

ITOH Masayuki  伊藤 正幸

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Researcher Number 70136034
External Links
Affiliation (based on the past Project Information) *help 2012: 徳島大学, ソシオ・アーツ・サイエンス研究部, 教授
2004 – 2007: Tokushima University, Faculty of Integrated and Sciences, Professor, 総合科学部, 教授
1999 – 2001: 徳島大学, 総合科学部, 教授
1996 – 1998: 徳島大学, 総合科学部, 助教授
1994: 徳島大学, 総合科学部, 助教授
1986 – 1992: 徳島大学, 総合科学部, 助教授
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
代数学・幾何学 / 解析学 / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis
Keywords
Principal Investigator
p-Laplacian / 非線形偏微分方程式 / 非線形波動方程式 / 分岐 / limit eigenvalue problem / degenerate elliptic equation / delay differential equation / blow up / bifurcation / 漸近解析 … More / 特異摂動問題 / 反応拡散系 / 界面形成 / 非線形現象 / 遅れをもつ微分方程式 / 退化型非線形楕円型方程式 / 漸近挙動 / 安定性 / p-ラプラシアン / ∞-ラプラシアン / 極限固有値問題 / ポアンカレ不等式 / 退化楕円型方程式 / 反応拡散方程式 / 時間遅れ方程式 / 爆発 / 退化楕円型作用素 / 非線形拡散 / キルヒホッフ / 非線形振動 / *-Laplacian / Poincare inequality / reaction-diffusion equations / 準線形 / 退化型 / 楕円型方程式 / 固有値問題 / 比較定理 / 差分方程式 / 不変曲線 / ∞-Laplacian / quasilinear / degenerate / elliptic equation / eigenvalue problem / comparison principle / difference equation / invariant curve … More
Except Principal Investigator
concentration-compactness / Orlicz-Sobolev空間 / 準線形楕円型方程式 / 正値解 / quasilinear elliptic equation / Orlicz-Sobolev space / フラクタル / 極小曲面 / 変分法 / 準線形 / quasilinear / 分岐理論 / multiple positive solution / mountain-pass solution / 変分方程式 / 変分不等式 / positive solution / 代数系 / 組合せ論 / 書換えシステム / 語の問題 / アルゴリズム / 環 / 群 / 半群 / 自己相似図形 / 自己相似数列 / 離散フ-リエ変換 / 周期2項係数 / 向き付け不可能な曲面 / 調和写像 / ツイスタ-空間 / グラスマン多様体 / 非線型可積分系 / ソリトン / スペクトル / 非線型楕円型方程式 / 非線型常微分方程式 / 非線型波動方程式 / 漸近的方法 / 超関数 / 自由境界問題 / 臨界指数 / ディリクレ境界値問題 / 非線形ノイマン問題 / 退化型準線形方程式 / オーリッチ・ソボレフ空間 / 変分問題 / 自由境界 / ディリクレ問題 / ノイマン問題 / 不定符号係数 / Cheeger set / 非線形解析 / 非線形振動論 / 概周期解の数値解析 / 分岐現象の数値解析 / 重根に対する二ュートン法 / ガレルキン法 / 常微分方程式の数値解析 / 戸田方程式 / パンルベ方程式 / 超幾何関数 / 加法公式 / 隣接関係 / 極大部分多様体 / ミンコフスキー空間 / 回転面 / 向きづけ不可能な曲面 / ワイヤストラスの表現公式 / 非線形振動の数値解析 / 概周期現象の数値解析 / 概周期解の安定性 / 常微分方程式の初期値問題の数値解析 / 条件数 / Exponential Dichotomy / Ljapunov数 / 非線型 / 楕円型 / 微分方程式 / 定性理論 / 弱解 / 分岐 / 固有値問題 / 非線形 / nonlinear / elliptic / differential equations / qualitative theory / weak solutions / bifurcation / eigenvalue problems / 準線形退化型楕円型方程式 / p-ラプラシアン / 非線形固有値問題 / 多重正値解 / 最小解 / 非有界領域 / mini-max原理 / 多重解 / bifurcation theory / p-Laplacian / nonlinear eigenvalue problem / minimal solution / unbounded domain / mini-max principle / 正値多重解 / 非線形弾性方程式 / 急速増大度 / 不安定解 / 比較定理 / variational equation / variational inequality / 楕円型方程式 / 正値解の存在 / Sobolevの臨界指数 / Orlicz空間 / concentration-campactness / elliptic equation / variational method / Sobolev's exponent / Orlicz space / 非等方微分方程式 / p(x)-ラプラシアン / 非等方方程式 / anisotropic differential equation / variational inequatlity / p(x)-Lanlacian / biburcation theory / 反応拡散方程式の数値シミュレ-ション / 数値シミュレ-ションの動画化処理 / 界面パタ-ンの数値解析 / 数値シミュレーションの動画化処理 / 界面パターンの数値計算 / Numerical simulations of reaction-diffusion equations / Visualization of numerical simulations / Numerical study of Interfacial patterns Less
  • Research Projects

    (19 results)
  • Research Products

    (4 results)
  • Co-Researchers

    (31 People)
  •  Free boundary problem with quasilinear elliptic equations

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  Research on the structure of solutions for anisotropic quasilinear elliptic equations

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  Quasilinear Elliptic Differential Equations of Critical Nonlinear Growth

    • Principal Investigator
      FUKAGAI Nobuyoshi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokushima
  •  Research on quasilinear elliptic equations with rapidly growing principal parts

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  THE STUDY OF NON-LINEAR PHENOMENA BY THE ASYMPTOTIC ANALYSISPrincipal Investigator

    • Principal Investigator
      ITO Masayuki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  Qualitative Theory of Quasilinear Degenerate Elliptic Differential Equations

    • Principal Investigator
      FUKAGAI Nobuyoshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokushima University
  •  Studies on Some Degenerate Quasilinear Elliptic Equations in Unbounded Domains

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  THE MATHEMATICAL ANALYSIS TO NON-LINEAR PHENOMENA THROUGH NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONSPrincipal Investigator

    • Principal Investigator
      ITO Masayuki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  非線形現象に対する微分及び関数方程式による研究Principal Investigator

    • Principal Investigator
      伊藤 正幸
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  非線型微分方程式と数理物理学の研究

    • Principal Investigator
      大宮 眞弓
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokushima
  •  漸近的方法による非線形備微分方程式の研究Principal Investigator

    • Principal Investigator
      伊藤 正幸
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  向き付け不可能な曲面の極小挿入と調和写像の研究

    • Principal Investigator
      石原 徹
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokushima
  •  フラクタル自己相似図形の解析的研究

    • Principal Investigator
      亀高 惟倫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokushima
  •  代数系の等式と変換システムの組合せ論的研究

    • Principal Investigator
      小林 ゆう治
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokushima
  •  擬リーマン多様体の部分多様体と調和写像の研究

    • Principal Investigator
      石原 徹
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokushima
  •  非線形振動と波動の数値解析的研究

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima
  •  Visualization-system of spatio-temporal patterns in natural sciences

    • Principal Investigator
      MIMURA Masayasu
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for Developmental Scientific Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  ソリトン理論にあらわれる微分方程式の研究

    • Principal Investigator
      亀高 惟倫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokushima
  •  常微分方程式系の概周期解の数値解析的研究

    • Principal Investigator
      篠原 能材
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokushima

All 2004 Other

All Journal Article

  • [Journal Article] Variational methods in Orlicz-Sobolev spaces to quasilinear elliptic equations2004

    • Author(s)
      深貝暢良, 伊藤正幸, 成川公昭
    • Journal Title

      数理解析研究所講究録 1405

      Pages: 14-30

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540211
  • [Journal Article] Variational methods In Orlicz-Sobolev spaces to quasilinear elliptic equations2004

    • Author(s)
      Nobuyoshi Fukagai, Masayuki Ito, Kimiaki Narukawa
    • Journal Title

      Suriken-Kokyuroku 1405

      Pages: 14-30

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540211
  • [Journal Article] Quasilinear elliptic equations with slowly growing principal part and critical Orlicz-Sobolev nonlinear term

    • Author(s)
      Nobuyoshi, Fukagai, Masayuki, Ito, Kimiaki, Narukawa
    • Journal Title

      Proceedings of the Royal Society of Edinburgh. Sec. A. Mathematics (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540197
  • [Journal Article] Quasilinear elliptic equations with slowly growing principal part and critical Orlicz-Sobolev nonlinear term

    • Author(s)
      Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa
    • Journal Title

      Proceedings of the Royal Society of Edinburgh, Sec.A.Mathematics To appear(accepted)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540197
  • 1.  FUKAGAI Nobuyoshi (90175563)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 4 results
  • 2.  NARUKAWA Kimiaki (60116639)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 4 results
  • 3.  亀高 惟倫 (00047218)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  奥山 広 (80035310)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  MURAKAMI Koichi (90219890)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  石原 徹 (80035328)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  KODA Atsuhito (50116810)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  小林 ゆう治 (70035343)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  MATSUOKA Takashi (50127297)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  小野 公輔 (00263806)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  大宮 眞弓 (50035698)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  MURATA Hiroshi (20033897)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  長町 重昭 (00030784)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  伊東 由文 (30035688)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  篠原 能材 (40035803)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  田中 忠 (80035584)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  長井 英生 (70110848)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  YAMADA Yoshio (20111825)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  OHNUMA Masaki (90304500)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  NAITO Manabu (00106791)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SAWABE Masato (60346624)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  TORISU Ichiro (50323134)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  MIMURA Masayasu (50068128)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KOBAYASHI Ryo (60153657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  HAYASHI Takaya (60156445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  NISHIDA Takaaki (70026110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  FUJIKOSHI Yasunori (40033849)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  高信 敏 (40197124)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  守安 一峰 (60253184)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  山本 範夫 (80093897)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  俣野 博 (40126165)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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