KAN-ON Yukio 観音幸雄

Researcher Number	00177776
Other IDs
Affiliation *help	2016 – 2018 : 愛媛大学, 教育学部, 教授 2007 – 2012 : Ehime University, 教育学部, 教授 2007 – 2009 : 愛媛大, 教育学部, 教授 2000 – 2005 : 愛媛大, 教育学部, 助教授 1992 – 2005 : 愛媛大学, 教育学部, 助教授 1990 – 1991 : 愛媛大学, 教育学部, 講師
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Mathematical analysis / Global analysis / 解析学 Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / 代数学・幾何学 / Geometry / Basic analysis
Keywords	Principal Investigator 比較定理 / 分岐構造 / 応用数学 / 数値的検証 / 2種競争系 / 数理モデル / ２種競争系 / 反応拡散方程式 / 解構造 / bifurcation theory … More Except Principal Investigator Sphericalデザイン / Weighing行列 / ternary linear code / art gallery theorem / アダマ-ル行列 / 安定分解 / weighing matrix / orthogonal array / graphical enumeration / 分類空間 / 適切性 / 初期値問題 / Semi-biplane / 偏微分方程式 / 線形 / スマッシュ積 / 位相幾何 / semi-biplane / Fermat-like diophantine equation / 拡散 / Orthogonal array / 不変な等位面 / 楕円型方程式 / Steinberg加群 / ワインガルテン超曲面 / イタリア:スペイン / 円柱面の特徴付け / ウェイイング行列 / Weyl加群 / イタリア / 準線形楕円型方程式 / Fermat-like equation / Holding and unholding / 国際研究者交流 / artgallery theorem / 非線形拡散 / 解の挙動 / 球面の特徴付け / 初期境界値問題 / 距離関数 / 非線形拡散方程式 / 等温面 / 不変な等温面 / 熱方程式 / 超平面 / p調和拡散方程式（系） / Weighing matrix / 放物型方程式 / リュービル型定理 / アダマール行列 / 非線形楕円型方程式 / 超平面の特徴付け / 領域の幾何 / アソシエーションスキーム / Strong Kronecker Product / holding and unholding / 解の初期挙動 / quarternary linear code / Format-like equation Less

非線形な拡散効果を伴う２種競争系の大域的な解構造の研究Principal InvestigatorOngoing
- Principal Investigator
  
  観音幸雄
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Ehime University
Structure on the Set of Stationary Solutions for a Two Competing Species Model with Density-Dependent DiffusionPrincipal Investigator
- Principal Investigator
  
  KAN-ON Yukio
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
Diffusion and Geometry of Domain
- Principal Investigator
  
  SAKAGUCHI Shigeru
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Hiroshima University
Bifurcation structure of stationary solutions for a reaction-diffusion system with density-dependent diffusionPrincipal Investigator
- Principal Investigator
  
  KAN-ON Yukio
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
Bifurcation structure of positive stationary solutions for a competition-diffusion system and its numerical verificationPrincipal Investigator
- Principal Investigator
  
  KAN-ON Yukio
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
Asymptotic behavior of solutions for a system of reaction-diffusion equations with density-dependent diffusion.Principal Investigator
- Principal Investigator
  
  KAN-ON Yukio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ehime University
Construction Classification of weighing matrices of low order and its applications
- Principal Investigator
  
  OHMORI Hiroyuki
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
反応拡散方程式系の解の大域的挙動の研究Principal Investigator
- Principal Investigator
  
  観音幸雄
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
反応拡散方程式系の定常解の安定性の研究Principal Investigator
- Principal Investigator
  
  觀音幸雄
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Ehime University
線形偏微分方程式に対する初期値問題の適切性について
- Principal Investigator
  
  北川桂一郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
分類空間の安定的性質についての研究
- Principal Investigator
  
  平田浩一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ehime University
線形偏微分方程式に対する初期値問題の適切性の為の条件について
- Principal Investigator
  
  KITAGAWA Keiichiro
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
デザインの構成と分類に関する研究
- Principal Investigator
  
  大森博之
- 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
  Ehime University
分類空間の安定ホモトピー論の研究
- Principal Investigator
  
  平田浩一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Ehime University
デザインの研究
- Principal Investigator
  
  大森博之
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
デザインの研究
- Principal Investigator
  
  OHMORI Hiroyuki
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University

All 2012 2011 2010 2009 2008 2007 2006 2005 2003 Other

All Journal Article Presentation

[Journal Article] A note on bifurcation structure of radially symmetric stationary solutions for a reactiondiffusion system III2011
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.
  
  Volume : 18no. 5 Pages : 559-568
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540138
[Journal Article] A note on bifurcation structure of radially symmetric stationary solutions for a reaction-diffusion system III2011
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Dyn.Contin.Discrete Impuls.Syst.Ser.A Math.Anal.
  
  Volume : 18 Pages : 559-568
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540138
[Journal Article] A note on bifurcation structure of radially symmetric stationary solutions for a reactiondiffusion system II2010
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.
  
  Volume : 17 no. 2 Pages : 263-273
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540138
[Journal Article] 2種競争系の解構造について2009
- Author(s)
  観音幸雄
- Journal Title
  
  応用数理 19
  
  Pages : 138-149
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] 2種競争系の解構造について2009
- Author(s)
  観音幸雄
- Journal Title
  
  応用数理 19
  
  Pages : 2-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] A note on bifurcation structure of radially symmetric stationary solutions for a reaction-diffusion system2008
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 15
  
  Pages : 1-15
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] A note on bifurcation structure of radially symmetric stationary solutions for a reactiondiffusion system2008
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal 15
  
  Pages : 1-15
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] Bifurcation structure of positive stationary solutions for a Lotka-Volterra competition model with diffusion I: Numerical verification of local structure2007
- Author(s)
  Yukio Kan-on
- Journal Title
  
  J.Comput.Appl.Math 201
  
  Pages : 317-326
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] On the bifurcation structure of positive stationary solutions for a competition-diffusion system2007
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Asymptotic Analysis and Singularities, Advanced Studies in Pure Mathematics 47-2
  
  Pages : 601-612
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] On the bifurcation structure of positive stationary solutions for a competition-diffusion system, Asymptotic analysis and singularities-elliptic and parabolic PDEs and related problems2007
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Math. Soc. Japan, Tokyo
  
  Pages : 47-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] Bifurcation structure of positive stationary solutions for a Lotka-Volterra competition model with diffusion. I. Numerical verification of local structure2007
- Author(s)
  Yukio Kan-on
- Journal Title
  
  J. Comput. Appl. Math 201
  
  Pages : 317-326
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540136
[Journal Article] Bifurcation structure of positive stationary solutions for a Lotka-Volterra Competition model with diffusion II : Global structure2006
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Discrete Contin.Dyn.Syst. 14,no.1
  
  Pages : 135-148
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540124
[Journal Article] Bifurcation structure of positive stationary solutions for a Lotka-Volterra competition model with diffusion II : Global structure2006
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Discrete Contin. Dyn. Syst. 14・1
  
  Pages : 135-148
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540124
[Journal Article] Bifurcation structure of positive stationary solutions for a Lotka-Volterra competition model with diffusion II : Global structure2006
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Discrete Contin.Dyn.Syst. 14・1
  
  Pages : 135-148
- Data Source
  KAKENHI-PROJECT-15540124
[Journal Article] On the structure of the set of stationary solutions for a system of reaction-diffusion equations with competitive interaction2005
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Japan J. Indust. Appl. Math. 22・3
  
  Pages : 385-402
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540124
[Journal Article] On the structure of the set of stationary solutions for a system of reaction-diffusion equations with competitive interaction2005
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Japan J.Indust.Appl.Math. 22・3
  
  Pages : 385-402
- Data Source
  KAKENHI-PROJECT-15540124
[Journal Article] Global bifurcation structure of positive stationary solutions for a classical Lotka-Volterra competition model with diffusion2003
- Author(s)
  Yukio Kan-on
- Journal Title
  
  Japan J. Indust. Appl. Math. 20・3
  
  Pages : 285-310
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540124
[Journal Article] On the structure of the set of stationary solutions for a system of reaction-diffusion equations with competitive interaction
- Author(s)
  Y.Kan-on
- Journal Title
  
  Japan J.Indust.Appl.Math. (To appear)
- Data Source
  KAKENHI-PROJECT-15540124
[Presentation] Bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system2012
- Author(s)
  Yukio Kan-on
- Organizer
  The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Grand Cypress Resort, Orlando, Florida, USA
- Year and Date
  2012-07-05
- Data Source
  KAKENHI-PROJECT-22540138
[Presentation] On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system2011
- Author(s)
  Yukio Kan-on
- Organizer
  The 4th MSJ-SI, Nonlinear Dynamics in Partial Differential Equations
- Place of Presentation
  九州大学医学部百年講堂
- Year and Date
  2011-09-14
- Data Source
  KAKENHI-PROJECT-22540138
[Presentation] 2種競争系の球対称全域解について2011
- Author(s)
  観音幸雄
- Organizer
  2011日本数学会秋季総合分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-22540138
[Presentation] 2種競争系の球対称全域解について2011
- Author(s)
  観音幸雄
- Organizer
  2011 年度秋季総合分科会応用数学分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-22540138
[Presentation] On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system2011
- Author(s)
  Yukio Kan-on
- Organizer
  The 4th MSJ-SI, Nonlinear Dynamics in Partial Differential Equations
- Place of Presentation
  Centennial Hall, Kyushu University School of Medicine
- Year and Date
  2011-09-14
- Data Source
  KAKENHI-PROJECT-22540138
[Presentation] 反応拡散系の球対称定常解の解構造について2010
- Author(s)
  観音幸雄
- Organizer
  ミニワークショップ「反応拡散系をめぐる最近の話題」
- Place of Presentation
  京都産業大学
- Year and Date
  2010-02-20
- Data Source
  KAKENHI-PROJECT-19540136
[Presentation] On bifurcation structure of radially symmetric stationary solutions for a reaction-diffusion system2010
- Author(s)
  Yukio Kan-on
- Organizer
  NCTS(TPE) and TIMS Joint PDE Seminar
- Place of Presentation
  National Taiwan University
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-19540136
[Presentation] 反応拡散方程式の球対称定常解の分岐構造について2009
- Author(s)
  観音幸雄
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-19540136
[Presentation] 2種競争系の定常解の大域的な分岐構造について2009
- Author(s)
  観音幸雄
- Organizer
  京都駅前セミナー
- Place of Presentation
  キャンパスプラザ京都
- Year and Date
  2009-11-27
- Data Source
  KAKENHI-PROJECT-19540136
[Presentation] 反応拡散方程式の定常解の分岐構造とその数値的な検証について2008
- Author(s)
  観音幸雄
- Organizer
  日本応用数理学会年会計算の品質研究部会
- Place of Presentation
  東京大学柏キャンパス
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-19540136
[Presentation] Lotka-Volterra競争モデルの定常解の大域的な分岐構造について2008
- Author(s)
  観音幸雄
- Organizer
  ミニワークショップ「数理生態モデルをめぐる諸問題-Lotka-Volterra系を中心として-」
- Place of Presentation
  京都産業大学
- Year and Date
  2008-02-23
- Data Source
  KAKENHI-PROJECT-19540136
[Presentation] 反応拡散方程式の定常解の分岐構造とその数値的な検証について2008
- Author(s)
  観音幸雄
- Organizer
  日本応用数理学会年会
- Place of Presentation
  東京大学
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-19540136
[Presentation] Bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system
- Author(s)
  Yukio Kan-on
- Organizer
  The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Grand Cypress (Orlando, USA)
- Data Source
  KAKENHI-PROJECT-22540138

1. OHMORI Hiroyuki (20036370)

# of Collaborated Projects : 8results

# of Collaborated Products : 0results
2. HIRATA Koichi (80173235)

# of Collaborated Projects : 8results

# of Collaborated Products : 0results
3. OKAMOTO Toshiaki (50036414)

# of Collaborated Projects : 8results

# of Collaborated Products : 0results
4. KITAGAWA Keiichiro (00025404)

# of Collaborated Projects : 5results

# of Collaborated Products : 0results
5. 石川広美 (90044099)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
6. 林昭 (80093938)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
7. YANAGI Shigenori (10253296)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
8. SAKAGUCHI Shigeru (50215620)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
9. FANG Qing (10243544)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
10. MISAWA Masashi (40242672)

# of Collaborated Projects : 1results

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11. MIKAMI Toshio (70229657)

# of Collaborated Projects : 1results

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12. SHIBATA Tetsutaro (90216010)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
13. KAWAKAMI Tatsuki (20546147)

# of Collaborated Projects : 1results

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14. ISHIGE Kazuhiro (90272020)

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15. OGAWA Takayoshi (20224107)

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16. KADOWAKI Mitsuteru (70300548)

# of Collaborated Projects : 1results

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17. SHIRAKURA Teruhiro (30033913)

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18. HAMADA Noboru (90033844)

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19. 桑村雅隆 (30270333)

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KAN-ON Yukio 観音 幸雄

Research Projects

Research Products

Co-Researchers

非線形な拡散効果を伴う２種競争系の大域的な解構造の研究Principal InvestigatorOngoing

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Structure on the Set of Stationary Solutions for a Two Competing Species Model with Density-Dependent DiffusionPrincipal Investigator

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Bifurcation structure of stationary solutions for a reaction-diffusion system with density-dependent diffusionPrincipal Investigator

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Bifurcation structure of positive stationary solutions for a competition-diffusion system and its numerical verificationPrincipal Investigator

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Asymptotic behavior of solutions for a system of reaction-diffusion equations with density-dependent diffusion.Principal Investigator

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反応拡散方程式系の解の大域的挙動の研究Principal Investigator

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反応拡散方程式系の定常解の安定性の研究Principal Investigator

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KAN-ON Yukio 観音幸雄