MARUO Kenji 丸尾健二

… Alternative Names

丸尾健二

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Researcher Number	90028225
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Affiliation (based on the past Project Information) *help	2009 – 2010: 神戸大学, 大学院・海事科学研究科, 教授 2007 – 2008: Kobe University, Graduate school of Matiritne Scienozs, Professor 2003 – 2006: Kobe University, Faculty of Maritime Science, Professor, 海事科学部, 教授 1997 – 2002: 神戸商船大学, 商船学部, 教授 1992 – 1996: 神戸商船大学, 商船学部, 助教授 1988 – 1991: 大阪大学, 工学部, 講師 1986: 姫路工業大学, 工学部, 講師
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic analysis Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords	Principal Investigator 球対称解 / 粘性解 / Radial Solution / Quasilinear / Semilinear / Uniqueness Theorem / Existence Theorem / Degenerate Elliptic Equation / Viscosity Solution / unbounded solution … More / radial solution / standard solution / 退化楕円型偏微分方程式 / 準線形 / 半線形 / 一意性定理 / 存在定理 / 劣微分 / 時間遅れ / 発展方程式 / Viscosity Solutions / Structure of Solutions / Semilinear Elliptic Differential Equations / 粘性解の解の構造 / 非球対称解の存在 / 非球対称解の非存在 / 解の漸近挙動 / 半線形楕円型方程式 / 関数方程式 / 解析学 / 解の構造 / 半線形楕円型微分方程式 / 退化型二階常微分方程式 / 退化楕円型半線型方程式 / 退化楕円形方程式 / 最大解,最小解 / 存在・一意性・非一意性 / 粘性解(viscosity solution) / 退化楕円型方程式 / 解の存在一意性 / 走化性粘菌モデル / 自由境界値問題 / 楕円型境界値問題 / 弱解の正則性 / 無条件連続 / 非線型発展方程式 / 時間おくれ / 波動方程式 / 非線形 / 関数解析 / 解の存在 / 非線型双曲型 / 弱解の連続性 / 変格積分 … More Except Principal Investigator 粘性解 / Fixed Point Theorems / Oscillation / Stability / Asymptotic Behavior / 平均曲率流 / Liapunov's Method / Periodicity / Ordinary Differential Equations / 非線形偏微分方程式 / 退化楕円型偏微分方程式 / 非線形方程式 / Boundary Value Problems / Stark Hamiltonian / 数値計算アルゴリズム / subdifferential / 劣微分 / almost free damping vibration / N-fractional calculus / 不動点定理 / 周期解 / 安定性 / 漸近的性質 / 常微分方程式系 / Invarince Principle / 合流型超幾何関数 / 反復数値解法 / 代数方程式 / Liaqunov's Method / Periodisity / 振動性 / 漸近性 / 解の一意性 / 常微分方程式 / リヤプノフの方法 / 解の振動性 / 境界値問題 / dinary Differential Equations / Resolvnet estimates / Semilinear elliptic equations / Semilinear heat equations / Reaction-diffustion equations / Mean curvature flow / レゾルベント評価 / 半線形楕円型方程式 / 半線形放物型方程式 / 反応拡散方程式 / degenerate elliptic partial differential equations / viscosity solutions / numerical algorithm / motion by mean curvatute / 退化放物型方程式 / 退化楕円型方程式 / viscosity solution / radially symmetric solutions / motion by mean curvature / vviscosity solutions / nonlinear PDE / 退化放物型偏微分方程式 / 球対称解 / Runge Kutta method / fractional differential equation / characteristic values / Mathieu's function / polynomials / Nonlinear equation / マチン関数 / 超幾何関数 / Fractional Calculus / 振動モデル / 3角多項式展開 / 任意次数微分 / N-fractionalCalculus / Runge Kutta法 / 任意次数微分方程式 / 固有値計算 / マチウ関数 / リエナ-ル方程式 / 非線形関数解析学 / 振動論 / リエナール方程式 / Stability Equations / Ordinary Differential / ジェブレ正則性 / 固有値分布 / 退化楕円型作用素 / 準楕円性 / 擬微分作用素 / 放物型作用素 / 基本解 / フーリエ積分作用素 / 正規族 / 局所相似原理 / 積分可能条件 / 相似 / 全微分方程式 / R-線形 / 半線形【〓!~】方程式系 / パターン形成 / 非線形放物型偏微分方程式 / 非線形楕円型偏微分方程式 / 数理ファイナンス / 自由境界 / ポアソン方程式 / 放物型方程式 / 確率微分ゲーム問題 / 確率制御問題 / radial solution / 粘性解(viscosity solution) Less

Studies on approximation, regularity and singularity for mean curvature flow
- Principal Investigator
  
  ISHII Katsuyuki
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Analytical study for mean curvature flow by using an numerical algorithm
- Principal Investigator
  
  ISHI Katsuyuki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Research of the structure of unbounded viscosity solutions to semilinear degenerate elliptic equations in R^NPrincipal Investigator
- Principal Investigator
  
  MARUO Kenji
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Studies on the applications of the theory of viscosity solutions to some singular perturbation problems
- Principal Investigator
  
  ISHII Katsuyuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
  神戸商船大学
Study of viscosity solutions for partial differential equations with subdifferential
- Principal Investigator
  
  TANAKA Naoto, YAMADA Naoki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Fukuoka University
Research on Numerical Methods of the Nonlinear Equations and its Applications
- Principal Investigator
  
  MIYAKODA Tsuyako
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
viscosity solutions of nonlinear partial differential equations with singularities
- Principal Investigator
  
  ISHII Katsuyuki
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University of Mercantile Marine
Research in viscosity solutions using the method of Functional Analysis.Principal Investigator
- Principal Investigator
  
  MARUO Kenji
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University of Mercantile Marine
On symmetric and radial viscosity solutions for elliptic partial differential equation.Principal Investigator
- Principal Investigator
  
  MARUO Kenji, 富田義人 (冨田義人)
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University of Mercantile Marine
反復法による非線形方程式の数値解法の研究
- Principal Investigator
  
  都田艶子
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
関数解析的方法における非線型波動方程式の研究Principal Investigator
- Principal Investigator
  
  丸尾健二
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  神戸商船大学
関数解析的方法方法による非線型波動方程式の研究Principal Investigator
- Principal Investigator
  
  丸尾健二
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  神戸商船大学
二階非線形偏微分方程式に対する粘性解の研究
- Principal Investigator
  
  冨田義人
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  神戸商船大学
関数解析的方法による発展方程式の研究Principal Investigator
- Principal Investigator
  
  丸尾健二
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  神戸商船大学
Asymptotic behaviors and oscillation of solutions for differential equation
- Principal Investigator
  
  SAITO Seiji, YAMAMOTO Minoru
- Project Period (FY)
  1991 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Asymptotic Behavior and Periodisity of Solutions of Differdntial Equations
- Principal Investigator
  
  YAMAMOTO Minoru
- Project Period (FY)
  1988 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
フーリェ積分作用素による偏微分方程式の研究
- Principal Investigator
  
  岩崎千里
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology
偏微分方程式論的方法による複素解析の研究
- Principal Investigator
  
  幸原昭
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology

All 2008 2006 2005 2004 2003 2002

All Journal Article Presentation

[Journal Article] Existence of non-radially syminetric viscosoity solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in theplane, Part I2008
- Author(s)
  K. Maruo, N. Yamadn
- Journal Title
  
  J. Math. Anal. Appl. 345
  
  Pages: 743-753
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540117
[Journal Article] Asymptotic behavior of unbounded radially symmetric solutions of semilinear degenerate elliptic equations2006
- Author(s)
  Kenji Maruo
- Journal Title
  
  Advances in Mathemcatical Sciences and Applications Vol. 16 No. 1
  
  Pages: 211-237
- Data Source
  KAKENHI-PROJECT-17540117
[Journal Article] Asymptotic behavior of unbounded radially symmetric solutions of semilinear degenerate elliptic equations2006
- Author(s)
  K. Maruo
- Journal Title
  
  Advances in Mathmatical Sciences and Applications Vol. 16, No. 1
  
  Pages: 211-237
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540117
[Journal Article] Asymptotic behavior of unbounded radially symmetric solutions of semilinear degenerate elliptic equations2006
- Author(s)
  Kenji Maruo
- Journal Title
  
  Advances in Mathematical Sciences and Applications Vol.16 No.1(印刷中)
- Data Source
  KAKENHI-PROJECT-17540117
[Journal Article] Asymptotic behavior of unbounded radically symmetric solutions of semilineardegenerate elliptic equations.2006
- Author(s)
  Kenji, Maruo
- Journal Title
  
  Adv. in Math. Sci. and Appl. 16
  
  Pages: 211-237
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540151
[Journal Article] Asymptotic Behavior of unbounded radially symmetric solutions of semilinear degenerate elliptic equations2006
- Author(s)
  Kenji Maruo
- Journal Title
  
  Adv.Math.Sci.Appl 16(To appear)
- Data Source
  KAKENHI-PROJECT-16540151
[Journal Article] Asymptotic behavior of unbounded radially symmetric solutions of semilinear degenerate elliptic equations.2006
- Author(s)
  Kenji Maruo
- Journal Title
  
  Adv. in Math. Sci. and Appl. 16
  
  Pages: 211-237
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540151
[Journal Article] Asymptotic behavior of unbounded radially symmetric solutions of semilinear degenerate elliptic equations2006
- Author(s)
  K. Maruo
- Journal Title
  
  Advances in Mathmatical Sciences and Applications Vol.16, No.1
  
  Pages: 211-237
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540117
[Journal Article] Asymptotic behavior of unbounded radially symmetric solutions of semilinear degerate elliptic equations.2006
- Author(s)
  Kenji Maruo
- Journal Title
  
  Adv. Math. Sci. Appl. 16
  
  Pages: 211-237
- Data Source
  KAKENHI-PROJECT-16540151
[Journal Article] Non-existence of non-radially symmetric solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in R^22004
- Author(s)
  Kenji Maruo
- Journal Title
  
  Advances in Mahematical Sciences and Applications Vol.14, No.2
  
  Pages: 537-557
- Data Source
  KAKENHI-PROJECT-14540117
[Journal Article] Non-existence of non-radially symmetric solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in R^22004
- Author(s)
  K.Maruo
- Journal Title
  
  Advances in Mahematical Sciences and Applications Vol.14,No.2
  
  Pages: 537-557
- Data Source
  KAKENHI-PROJECT-16540151
[Journal Article] Non-existence of non-radially symmetric solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in R^22004
- Author(s)
  Kenji Maruo
- Journal Title
  
  Advanced in Mathematical Sciences and Applications Vol.14, No.2
  
  Pages: 537-557
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540117
[Journal Article] Non-existence of non-radially symmetric solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in R^22004
- Author(s)
  Kenji Maruo
- Journal Title
  
  Advances in Mathematical Sciences and Applications Vol.14, No.2
  
  Pages: 537-557
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540117
[Journal Article] Non-existence of non radically symmetric viscosity solutions to semilinear degerate elliptic equations with radically symmetric coefficients in R2.2004
- Author(s)
  Kenji, Maruo
- Journal Title
  
  Adv. in Math. Sci. and Appl. 14
  
  Pages: 537-557
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540151
[Journal Article] Non-existence of non radially symmetric viscosity solutions to semilinear degerate elliptic equations with radially symmetric cofficents in R^2.2004
- Author(s)
  Kenji Maruo
- Journal Title
  
  Adv. in Math. Sci. and Appl. 14
  
  Pages: 211-237
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540151
[Journal Article] Unbounded radially symmetric viscosity solutions of semilinear degenerate elliptic equations2003
- Author(s)
  Kenji Maruo
- Journal Title
  
  Scientiae Mathematicae Japonicae Vol.58, No.1
  
  Pages: 15-31
- NAID
  10011613130
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540117
[Journal Article] Unbounded radially symmetric viscosity solutions of semilinear degenerate elliptic equations2003
- Author(s)
  Kenji Maruo, Yoshihito Tomita
- Journal Title
  
  Scientiae Mathematicae Japonicae Vol.58, No.1
  
  Pages: 15-31
- NAID
  10011613130
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540117
[Journal Article] Remarks on viscosity solutions of the Dirichlet problem for quasilinear degenerate elliptic equations2002
- Author(s)
  Kenji Maruo
- Journal Title
  
  Funkcialaj Ekvacioj Vol.45 No.1
  
  Pages: 89-101
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540117
[Journal Article] Remarks on viscosity solutions of the Dirichlet problem for quasilinear degenerate elliptic equations2002
- Author(s)
  Kenji Maruo, Yoshihito Tomita
- Journal Title
  
  Funkcialaj Ekvacioj Vol.45, No.1
  
  Pages: 89-101
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540117
[Presentation] R^2での球対称な係数を持つ非線形退化楕円型偏微分方程式の小さな非球対称解の存在について2008
- Author(s)
  丸尾健二
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  九州工業大学戸畑キャンパス
- Year and Date
  2008-11-30
- Data Source
  KAKENHI-PROJECT-20540117
[Presentation] 球対称な係数をもつ退化楕円型方程式の全域解と非珠対称解の構造2006
- Author(s)
  丸尾健二
- Organizer
  研究集会「微分方程式の漸近問題と粘性解理論」
- Place of Presentation
  富山大学理学部
- Year and Date
  2006-12-01
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540117
[Presentation] 半線形楕円型方程式の$|x|$が無限遠点における球対称解の漸近挙動について2005
- Author(s)
  丸尾健二
- Organizer
  「偏微分方程式の諸問題」シンポジウム
- Place of Presentation
  東海大学理学部
- Year and Date
  2005-10-31
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540117
[Presentation] Asymptotic behavior at infinity of radial viscosity solutions of semilinear elliptic equations2005
- Author(s)
  K, Maruo
- Organizer
  ymposium "Problems on PDE
- Place of Presentation
  Tokai University
- Year and Date
  2005-10-31
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540117

1. ISHII Katsuyuki (40232227)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
2. MIYAKODA Tsuyako (80174150)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
3. TOMITA Yoshihito (50031456)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
4. INOUE Tetuo (50031448)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. 村上隆彦 (40031439)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. SAITO Seiji (90225714)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. KAGEYAMA Yasuo (70304136)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. OHNAKA Kohzaburo (60127199)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. NAITO Yuki (10231458)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. KUWAMURA Masataka (30270333)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. OHMUNA Masaki (90304500)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 幸原昭 (60047553)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. YAMAMOTO Minoru (50029419)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. YAMADA Naoki (50030789)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 八木厚志 (70116119)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. TAKAHASHI Futoshi (10374901)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. ISHIWATA Tetsuya (50334917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 阪井章 (70029627)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 岩崎千里 (30028261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 寺岡義伸 (20047616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. NAGABUCHI Yutaka (60252607)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. ISHII Hiroaki (90107136)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KUROKIBA Masaki (60291837)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 草野尚 (70033868)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. ADACHI Tadayoshi (30281158)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. MOHRI Masayuki (80127307)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 坂田定久 (60175362)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MARUO Kenji 丸尾 健二

丸尾 健二

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Research of the structure of unbounded viscosity solutions to semilinear degenerate elliptic equations in R^NPrincipal Investigator

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Research in viscosity solutions using the method of Functional Analysis.Principal Investigator

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On symmetric and radial viscosity solutions for elliptic partial differential equation.Principal Investigator

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関数解析的方法における非線型波動方程式の研究Principal Investigator

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関数解析的方法方法による非線型波動方程式の研究Principal Investigator

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関数解析的方法による発展方程式の研究Principal Investigator

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MARUO Kenji 丸尾健二

丸尾健二