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Kaneko Yuki  兼子 裕大

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KANEKO Yuki  兼子 裕大

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Researcher Number 40773916
Other IDs
Affiliation (Current) 2025: 関東学院大学, 理工学部, 講師
Affiliation (based on the past Project Information) *help 2023: 関東学院大学, 理工学部, 講師
2019 – 2022: 日本女子大学, 理学部, 助教
2017: 早稲田大学, 理工学術院, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related
Except Principal Investigator
Medium-sized Section 12:Analysis, applied mathematics, and related fields / Mathematical analysis
Keywords
Principal Investigator
テラス型進行波 / 漸近挙動 / 伝播現象 / 自由境界問題 / ディリクレ境界条件 / 多安定反応拡散系 / 伝播 / semi-wave / 定常問題 / spreading … More / transition / テラス解 / 定常解の分岐構造 / Gierer-Meinhardt系 / 反応拡散系 / 進行波 / テラス型分布 / 正値双安定 / 界面運動 / 反応拡散方程式 … More
Except Principal Investigator
関数解析 / 発展方程式 / 定量的解析 / 漸近挙動 / 非線形拡散方程式 / ハミルトン系 / 非線形楕円形方程式 / 解析学 / ミニマックス法 / 特異摂動問題 / 非線形楕円型方程式 / 変分問題 Less
  • Research Projects

    (4 results)
  • Research Products

    (33 results)
  • Co-Researchers

    (18 People)
  •  多安定反応拡散系に現れるテラス型進行波と伝播現象の研究Principal Investigator

    • Principal Investigator
      兼子 裕大
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Kanto Gakuin University
  •  Quantitative analysis for nonlinear evolution equations of diffusion type

    • Principal Investigator
      赤木 剛朗
    • Project Period (FY)
      2021 – 2026
    • Research Category
      Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Tohoku University
  •  Research on propagation and interface behavior generated by reaction-diffusion systemPrincipal Investigator

    • Principal Investigator
      Kaneko Yuki
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Kanto Gakuin University
      Japan Women's University
  •  Variational study of nonlinear elliptic problems

    • Principal Investigator
      Tanaka Kazunaga
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Waseda University

All 2024 2023 2022 2021 2020 2019 2018 2017 2014

All Journal Article Presentation

  • [Journal Article] Stability and bifurcation diagram for a shadow Gierer?Meinhardt system in one spatial dimension2024

    • Author(s)
      Kaneko Yuki、Miyamoto Yasuhito、Wakasa Tohru
    • Journal Title

      Nonlinearity

      Volume: 37 Issue: 5 Pages: 055011-055011

    • DOI

      10.1088/1361-6544/ad3596

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03374, KAKENHI-PROJECT-19K14602, KAKENHI-PROJECT-19H01797
  • [Journal Article] A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions Ⅲ : General case2023

    • Author(s)
      Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada
    • Journal Title

      Discrete and Continuous Dynamical Systems - Series S

      Volume: ー Issue: 2 Pages: 742-761

    • DOI

      10.3934/dcdss.2023089

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03709, KAKENHI-PROJECT-19K03573, KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-19K14602
  • [Journal Article] A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution2023

    • Author(s)
      Kaneko Yuki、Matsuzawa Hiroshi、Yamada Yoshio
    • Journal Title

      Journal de Mathematiques Pures et Appliques

      Volume: 178 Pages: 1-45

    • DOI

      10.1016/j.matpur.2023.07.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-20K03709, KAKENHI-PROJECT-19K14602
  • [Journal Article] A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I : Classification of asymptotic behavior2022

    • Author(s)
      Y. Kaneko, H. Matsuzawa and Y. Yamada
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 42 Issue: 6 Pages: 2719-2745

    • DOI

      10.3934/dcds.2021209

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05340, KAKENHI-PROJECT-20K03709, KAKENHI-PROJECT-19K14602, KAKENHI-PROJECT-19K03573
  • [Journal Article] A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimension I : classification of asymptotic behavior2022

    • Author(s)
      Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21KK0044
  • [Journal Article] Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity2020

    • Author(s)
      Maho Endo, Yuki Kaneko, Yoshio Yamada
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series A

      Volume: 40 Issue: 6 Pages: 3375-3394

    • DOI

      10.3934/dcds.2020033

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14602, KAKENHI-PROJECT-19K03573
  • [Journal Article] Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity2020

    • Author(s)
      Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 52 Issue: 1 Pages: 65-103

    • DOI

      10.1137/18m1209970

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05340, KAKENHI-PROJECT-19K03573, KAKENHI-PROJECT-19K14602
  • [Journal Article] Spreading and vanishing in a free boundary problem for nonlinear diffusion equations with a forced given moving boundary2018

    • Author(s)
      Yuki Kaneko and Hiroshi Matsuzawa
    • Journal Title

      Journal of Differential Equations

      Volume: 256 Issue: 3 Pages: 1000-1043

    • DOI

      10.1016/j.jde.2018.03.026

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05340, KAKENHI-PROJECT-25287025
  • [Journal Article] Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations2014

    • Author(s)
      Y. Kaneko, K. Oeda, Y. Yamada
    • Journal Title

      Funkicialaj Ekvacioj, Vol. 57, No. 3 (2014), pp 449-465

      Volume: 57 Pages: 449-465

    • NAID

      130004927737

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287025
  • [Presentation] Borderline behavior and propagating terrace for a free boundary problem of a reaction-diffusion equation2024

    • Author(s)
      Yuki Kaneko
    • Organizer
      Turing Symposium on Morphogenesis 2024
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03221
  • [Presentation] Borderline behavior and propagating terrace for a free boundary problem of a reaction-diffusion equation2024

    • Author(s)
      Yuki Kaneko
    • Organizer
      Turing Symposium on Morphogenesis 2024
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] Remarks on a free boundary problem of positive bistable reaction-diffusion equation2023

    • Author(s)
      Yuki Kaneko
    • Organizer
      RIMS Conference "Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] Remarks on a free boundary problem of positive bistable reaction-diffusion equation2023

    • Author(s)
      Yuki Kaneko
    • Organizer
      RIMS Conference "Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03221
  • [Presentation] 多次元領域における反応拡散方程式の自由境界問題に現れるテラス解2023

    • Author(s)
      兼子裕大
    • Organizer
      第17回非線形偏微分方程式と変分問題
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 多安定反応拡散方程式の自由境界問題に対する解のボーダーライン挙動とテラス挙動2023

    • Author(s)
      兼子裕大
    • Organizer
      第21回明治非線型数理セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03221
  • [Presentation] 多安定反応拡散方程式の自由境界問題に対する解のボーダーライン挙動とテラス挙動2023

    • Author(s)
      兼子裕大
    • Organizer
      第21回明治非線型数理セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] Propagating terrace for a free boundary problem of a reaction-diffusion equation in high space dimensions2023

    • Author(s)
      Yuki Kaneko
    • Organizer
      2023 Korea-Japan Workshop on Nonlinear PDEs and Its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] Propagating terrace for a free boundary problem of a reaction-diffusion equation in high space dimensions2023

    • Author(s)
      Yuki Kaneko
    • Organizer
      2023 Korea-Japan Workshop on Nonlinear PDEs and Its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03221
  • [Presentation] 多次元領域における反応拡散方程式の自由境界問題に現れるテラス解2023

    • Author(s)
      兼子裕大
    • Organizer
      九州工業大学数理セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 正値双安定項を伴う反応拡散方程式の定常問題に対する球対称解の分類2022

    • Author(s)
      兼子裕大
    • Organizer
      第16回非線形偏微分方程式と変分問題
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] Positive bistable項を伴う反応拡散方程式の自由境界問題に対する球対称解の漸近挙動2022

    • Author(s)
      兼子裕大, 松澤寛, 山田義雄
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 正値双安定項を伴う反応拡散方程式の定常問題に対する球対称解の分類2022

    • Author(s)
      兼子 裕大
    • Organizer
      第16回非線形偏微分方程式と変分問題
    • Data Source
      KAKENHI-PROJECT-21KK0044
  • [Presentation] 正値双安定項を伴う反応拡散方程式の定常問題に対する球対称解の分類2022

    • Author(s)
      兼子裕大
    • Organizer
      RIMS共同研究(グループ型A)「非線形問題の精密解析」
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 正値双安定項を伴う反応拡散方程式の定常問題に対する球対称解の分類2022

    • Author(s)
      兼子 裕大
    • Organizer
      RIMS共同研究(A)「非線形問題の精密解析」
    • Data Source
      KAKENHI-PROJECT-21KK0044
  • [Presentation] 正値双安定項を伴う拡散方程式の自由境界問題に現れる伝播現象2021

    • Author(s)
      兼子裕大
    • Organizer
      OCAMIワークショップ「第1回オンライン放物型偏微分方程式ワークショップ」
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 正値双安定項を伴う拡散方程式の自由境界問題に現れる伝播現象2021

    • Author(s)
      兼子裕大
    • Organizer
      九州関数方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 正値双安定項を伴う拡散方程式の自由境界問題に現れる伝播現象2021

    • Author(s)
      兼子 裕大
    • Organizer
      九州関数方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-21KK0044
  • [Presentation] Positive bistable項を伴う反応拡散方程式の解の伝播形状について2019

    • Author(s)
      兼子裕大
    • Organizer
      第7回大分大学解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 反応拡散方程式の自由境界問題に現れる伝播現象について2019

    • Author(s)
      兼子裕大
    • Organizer
      第7回理学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 反応拡散方程式の自由境界問題に現れるtwo-stage spreading2019

    • Author(s)
      兼子裕大
    • Organizer
      第88回岐阜数理科学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] Asymptotic behaviors of radially symmetric solutions to a free boundary problem with positive bistable nonlinearity2019

    • Author(s)
      Yuki Kaneko
    • Organizer
      RIMS Symposium "Qualitative Theory on Nonlinear Partial Differential Equations"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 反応拡散方程式の自由境界問題に対する 球対称解の漸近挙動2019

    • Author(s)
      兼子裕大
    • Organizer
      第45回発展方程式研究会
    • Data Source
      KAKENHI-PROJECT-19K14602
  • [Presentation] 非斉次ディリクレ境界条件を伴う個体拡散モデルについて2017

    • Author(s)
      兼子裕大
    • Organizer
      秋の偏微分方程式セミナー.大阪大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287025
  • 1.  Tanaka Kazunaga (20188288)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  ADACHI Shinji (40339685)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  IKOMA Norihisa (50728342)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  SATO Yohei (00465387)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  KURATA Kazuhiro (10186489)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  Shioji Naoki (50215943)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  小薗 英雄 (00195728)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  山田 義雄 (20111825)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 9.  大谷 光春 (30119656)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  小澤 徹 (70204196)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  赤木 剛朗 (60360202)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  中村 健一 (40293120)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  松澤 寛 (80413780)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 6 results
  • 14.  村川 秀樹 (40432116)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  佐藤 龍一 (20802599)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  Cavallina Lorenzo (40881264)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  Hirata Jun
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  WAKASA Tohru
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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