Kaneko Yuki 兼子裕大

… Alternative Names

KANEKO Yuki 兼子裕大

Less

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

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

Kaneko Yuki 兼子 裕大

KANEKO Yuki 兼子 裕大

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

Quantitative analysis for nonlinear evolution equations of diffusion type

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on propagation and interface behavior generated by reaction-diffusion systemPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Variational study of nonlinear elliptic problems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions Ⅲ : General case2023

Author(s)

Journal Title

DOI

Data Source

[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)

Journal Title

DOI

Data Source

[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)

Journal Title

DOI

Data Source

[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)

Journal Title

Data Source

[Journal Article] Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Spreading and vanishing in a free boundary problem for nonlinear diffusion equations with a forced given moving boundary2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations2014

Author(s)

Journal Title

NAID

Data Source

[Presentation] Borderline behavior and propagating terrace for a free boundary problem of a reaction-diffusion equation2024

Author(s)

Organizer

Data Source

[Presentation] Borderline behavior and propagating terrace for a free boundary problem of a reaction-diffusion equation2024

Author(s)

Organizer

Kaneko Yuki 兼子裕大

KANEKO Yuki 兼子裕大