ITO Masayuki 伊藤正幸

… 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

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

ITO Masayuki 伊藤 正幸

伊藤 正幸 イトウ マサユキ

ITOH Masayuki 伊藤 正幸

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THE STUDY OF NON-LINEAR PHENOMENA BY THE ASYMPTOTIC ANALYSISPrincipal Investigator

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THE MATHEMATICAL ANALYSIS TO NON-LINEAR PHENOMENA THROUGH NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONSPrincipal Investigator

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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

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漸近的方法による非線形備微分方程式の研究Principal Investigator

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ITO Masayuki 伊藤正幸

伊藤正幸イトウマサユキ

ITOH Masayuki 伊藤正幸