Kan Toru 菅徹

… Alternative Names

KAN Toru 菅徹

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Researcher Number	60647270
Other IDs
Affiliation (Current)	2025: 大阪公立大学, 大学院理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2025: 大阪公立大学, 大学院理学研究科, 准教授 2018 – 2021: 大阪府立大学, 理学(系)研究科(研究院), 准教授 2016 – 2017: 東京工業大学, 理学院, 助教 2015: 東京工業大学, 大学院理工学研究科, 助教 2013 – 2015: 東京工業大学, 理工学研究科, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator Mathematical analysis / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 定常解 / 双安定反応拡散方程式 / 進行波解 / 分岐 / 領域の特異極限 / 増殖項つき流束制限 Keller-Segel 系 / Backus 問題 / 進行波 / 双安定 / 反応拡散方程式 … More / 界面 / 安定性 / 特異極限 / 領域変形 / 安定性解析 / 分岐解析 / 定常問題 … More Except Principal Investigator 特異性 / 動的特異点 / 臨界指数 / 偏微分方程式 / 特異点 / 拡散 / 放物型偏微分方程式 / ヘルダー指数 / 可解性 / ブラウン運動 / 非線形熱方程式 / 反応拡散方程式 / 放物型 / 漸近解析 / 分岐 / 非線形解析 / 発展方程式 / 多国籍 / 国際情報交換 / 国際研究者交流 / 分岐構造 / 漸近挙動 / 安定性 / 関数方程式の大域理論 / 非線形 / 除去可能性 / 解析学 / 関数方程式 Less

非線形発展方程式に対する定常解および進行波解の構造の解明Principal Investigator
- Principal Investigator
  
  菅徹
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka Metropolitan University
Analysis of dynamic singularities in parabolic partial differential equations
- Principal Investigator
  
  柳田英二
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  The University of Tokyo
ネットワーク上および全空間上の反応拡散方程式の解構造Principal Investigator
- Principal Investigator
  
  菅徹
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka Metropolitan University
  Osaka Prefecture University
Analysis on moving singularities in evolution equations
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Tokyo Institute of Technology
Structure of stationary solutions and motion of interfaces in bistable reaction-diffusion equationsPrincipal Investigator
- Principal Investigator
  
  Kan Toru
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka Prefecture University
  Tokyo Institute of Technology
Removability and asymptotic profile of dynamic singularities in parabolic partial differential equations
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Tokyo Institute of Technology

All 2024 2023 2022 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[Journal Article] The interior Backus problem: local resolution in Holder spaces2024
- Author(s)
  Kan Toru, Magnanini, Rolando, Onodera, Michiaki
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 381 Pages: 20-47
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22402
[Journal Article] The interior Backus problem: Local resolution in Holder spaces2024
- Author(s)
  Toru Kan, Rolando Magnanini and Michiaki Onodera
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 381 Pages: 20-47
- DOI
  10.1016/j.jde.2023.10.050
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14574, KAKENHI-PROJECT-22KK0230, KAKENHI-PROJECT-20K03673, KAKENHI-PROJECT-23H00086
[Journal Article] Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces2022
- Author(s)
  Kan Toru、Magnanini Rolando、Onodera Michiaki
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 29 Issue: 3 Pages: 1-29
- DOI
  10.1007/s00030-022-00749-4
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03673, KAKENHI-PROJECT-16K17628, KAKENHI-PROJECT-19K14574, KAKENHI-PROJECT-20KK0057, KAKENHI-PROJECT-17H01091, KAKENHI-PROJECT-18H03670
[Journal Article] Secondary bifurcations in semilinear ordinary differential equations2022
- Author(s)
  菅徹
- Journal Title
  
  Partial Differential Equations and Applications
  
  Volume: 3 Issue: 5
- DOI
  10.1007/s42985-022-00180-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14574
[Journal Article] Time‐periodic flows of electrons and holes in semiconductor devices2022
- Author(s)
  Kan Toru、Suzuki Masahiro
- Journal Title
  
  Mathematical Methods in the Applied Sciences
  
  Volume: - Issue: 10 Pages: 6096-6130
- DOI
  10.1002/mma.8160
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14574, KAKENHI-PROJECT-21K03308, KAKENHI-PROJECT-18K03364, KAKENHI-PROJECT-20H00118
[Journal Article] A remark on the asymptotic behavior of solutions of the Allen-Cahn equation2020
- Author(s)
  菅徹
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2172 Pages: 43-54
- Open Access
- Data Source
  KAKENHI-PROJECT-19K14574
[Journal Article] Uniform estimates and uniqueness of stationary solutions to the drift-diffusion model for2018
- Author(s)
  Toru Kan and Masahiro Suzuki
- Journal Title
  
  Applicable Analysis
  
  Volume: in press Issue: 10 Pages: 1799-1810
- DOI
  10.1080/00036811.2018.1460820
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05313, KAKENHI-PROJECT-18K03364, KAKENHI-PROJECT-15K17569, KAKENHI-PROJECT-26800067
[Journal Article] On an ODE related to the stationary problem of a reaction-diffusion equation on a thin domain2018
- Author(s)
  菅徹
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 印刷中
- Open Access
- Data Source
  KAKENHI-PROJECT-15K17569
[Journal Article] Time-dependent singularities in semilinear parabolic equations: Existence of solutions2017
- Author(s)
  Kan Toru、Takahashi Jin
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 263 Issue: 10 Pages: 6384-6426
- DOI
  10.1016/j.jde.2017.07.016
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K13769, KAKENHI-PROJECT-17J00693
[Journal Article] Time-dependent singularities in semilinear parabolic equations: Behavior at the singularities2016
- Author(s)
  Toru Kan, Jin Takahashi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 260 Issue: 10 Pages: 7278-7319
- DOI
  10.1016/j.jde.2016.01.026
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15J10602, KAKENHI-PROJECT-25610026
[Journal Article] On the profile of solutions with time-dependent singularities for the heat equation2014
- Author(s)
  菅徹，高橋仁
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 37 Issue: 3 Pages: 568-585
- DOI
  10.2996/kmj/1414674609
- NAID
  130004705912
- ISSN
  0386-5991, 1881-5472
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-25610026
[Presentation] On the existence of solutions of the Backus problem2023
- Author(s)
  Toru Kan
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14574
[Presentation] On the stability and behavior of solutions of the Allen-Cahn-Nagumo equation2023
- Author(s)
  Toru Kan
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14574
[Presentation] 測度を初期値とする優線形熱方程式の解の存在について2022
- Author(s)
  菅徹
- Organizer
  発展方程式における形状解析と漸近解析
- Data Source
  KAKENHI-PROJECT-19K14574
[Presentation] On solvability of an initial value problem for a superlinear heat equation2022
- Author(s)
  Toru Kan
- Organizer
  The 47th Sapporo Symposium on Partial Differential Equations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14574
[Presentation] 局所的に平面進行波解に漸近する双安定反応拡散方程式の解の挙動について2020
- Author(s)
  菅徹
- Organizer
  松山解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14574
[Presentation] A remark on the asymptotic behavior of solutions of the Allen-Cahn equation2019
- Author(s)
  菅徹
- Organizer
  Geometric Aspects of Solutions to Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14574
[Presentation] A remark on the behavior of solutions of the Allen-Cahn equation2019
- Author(s)
  菅徹
- Organizer
  4th Swiss-Japanese PDE Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14574
[Presentation] 細いダンベル型領域上の双安定反応拡散方程式の解構造2019
- Author(s)
  菅徹
- Organizer
  反応拡散方程式と非線形分散型方程式の解の挙動
- Invited
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] Stationary solutions of bistable reaction-diffusion equations on some thin tubular domain2018
- Author(s)
  菅徹
- Organizer
  Seminar on Qualitative Theory of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] Reaction-diffusion equations on a singularly perturbed domain2018
- Author(s)
  菅徹
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] Bistable reaction-diffusion equations on some thin tubular domain2018
- Author(s)
  菅徹
- Organizer
  2018 China-Japan Workshop on Nonlinear Diffusion Problems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] A remark on the stability of planar traveling waves in scalar bistable reaction-diffusion equations2018
- Author(s)
  菅徹
- Organizer
  UK-Japan Workshop on Analysis of Nonlinear Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] Bifurcation in scalar bistable reaction-diffusion equations on a thin dumbbell-shaped domain2017
- Author(s)
  菅徹
- Organizer
  偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] On the solution structure of a bistable reaction-diffusion equation on a thin dumbbell-shaped domain2017
- Author(s)
  菅徹
- Organizer
  2017 International Workshop on Nonlinear PDE and Applications
- Place of Presentation
  KAIST, Daejeon, Korea
- Year and Date
  2017-03-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] On the solution structure of bistable reaction-diffusion equations on a thin tubular domain2017
- Author(s)
  菅徹
- Organizer
  京都駅前セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] Stationary solutions of bistable reaction-diffusion equations on some thin tubular domain2017
- Author(s)
  菅徹
- Organizer
  神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] Bifurcation analysis for stationary solutions of bistable reaction diffusion equations2017
- Author(s)
  菅徹
- Organizer
  The 18th Northeastern Symposium on Mathematical Analysis
- Place of Presentation
  東北大学
- Year and Date
  2017-02-20
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] On an ODE related to the stationary problem of a reaction-diffusion equation on a thin domain2017
- Author(s)
  菅徹
- Organizer
  Succession and Innovation of Studies on ODEs in Real Domains
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] On the solution structure of bistable reaction-diffusion equations on some thin tubular domain2017
- Author(s)
  菅徹
- Organizer
  Equadiff 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] 単独双安定反応拡散方程式の定常問題に対する分岐解析2016
- Author(s)
  菅徹
- Organizer
  第7回拡散と移流
- Place of Presentation
  秋田大学
- Year and Date
  2016-11-19
- Invited
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] 単独反応拡散方程式の安定定常解に関する考察2016
- Author(s)
  菅徹
- Organizer
  Okayama Workshop on Partial Differential Equations
- Place of Presentation
  岡山大学
- Year and Date
  2016-10-29
- Invited
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] Bifurcation analysis for some one-dimensional bistable reaction diffusion equation2016
- Author(s)
  菅徹
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  京都大学
- Year and Date
  2016-12-18
- Invited
- Data Source
  KAKENHI-PROJECT-15K17569
[Presentation] 時間依存特異点をもつ半線形放物型方程式の解について2016
- Author(s)
  菅徹
- Organizer
  応用解析研究会
- Place of Presentation
  早稲田大学西早稲田キャンパス（東京都新宿区）
- Year and Date
  2016-04-09
- Invited
- Data Source
  KAKENHI-PROJECT-16K13769
[Presentation] Solutions with time-dependent singularities for semilinear parabolic equations2015
- Author(s)
  菅徹
- Organizer
  Geometric Properties for Parabolic and Elliptic PDE's
- Place of Presentation
  Grand Hotel San Pietro, Palinuro, Italy
- Year and Date
  2015-05-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25610026
[Presentation] 半線形放物型方程式の解が許容する特異性について2014
- Author(s)
  菅徹
- Organizer
  山形発展方程式研究集会
- Place of Presentation
  ヒルズサンピア山形（山形県山形市）
- Year and Date
  2014-09-16
- Invited
- Data Source
  KAKENHI-PROJECT-25610026

1. YANAGIDA Eiji (80174548)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. 岡田いず海 (40795605)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 高橋仁 (40813001)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 二宮広和 (90251610)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. KHIN Phyu Phyu Htoo

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 鈴木政尋

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
7. 小野寺有紹

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Kan Toru 菅 徹

KAN Toru 菅 徹

Research Projects

Research Products

Co-Researchers

非線形発展方程式に対する定常解および進行波解の構造の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis of dynamic singularities in parabolic partial differential equations

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

ネットワーク上および全空間上の反応拡散方程式の解構造Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis on moving singularities in evolution equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Structure of stationary solutions and motion of interfaces in bistable reaction-diffusion equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Removability and asymptotic profile of dynamic singularities in parabolic partial differential equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] The interior Backus problem: local resolution in Holder spaces2024

Author(s)

Journal Title

Data Source

[Journal Article] The interior Backus problem: Local resolution in Holder spaces2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Secondary bifurcations in semilinear ordinary differential equations2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Time‐periodic flows of electrons and holes in semiconductor devices2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A remark on the asymptotic behavior of solutions of the Allen-Cahn equation2020

Author(s)

Journal Title

Data Source

[Journal Article] Uniform estimates and uniqueness of stationary solutions to the drift-diffusion model for2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On an ODE related to the stationary problem of a reaction-diffusion equation on a thin domain2018

Author(s)

Journal Title

Data Source

[Journal Article] Time-dependent singularities in semilinear parabolic equations: Existence of solutions2017

Author(s)

Kan Toru 菅徹

KAN Toru 菅徹