Takahashi Jin 高橋仁

Researcher Number	40813001
Other IDs
Affiliation (Current)	2025: 東京科学大学, 情報理工学院, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 東京工業大学, 情報理工学院, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Basic Section 12020:Mathematical analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 特異解 / fast diffusion方程式 / 半線形熱方程式 / extinction / blow-up / fast diffusion equation / 非線形放物型方程式 / 臨界ノルム / 正則性 / 爆発解 … More / 特異性 / 非線形解析 / 偏微分方程式 / 放物型方程式 / 非斉次 / 特異点 / Fast diffusion equation / 時間全域解 / 高次元特異集合 / 多孔質媒体型方程式 / 藤田型方程式 / Hardyポテンシャル / 初期値境界値問題 / 山辺流 / 可解性 / 臨界指数 / 多孔質媒体方程式 … More Except Principal Investigator 特異性 / 可解性 / 臨界指数 / 拡散 / 動的特異点 / 放物型偏微分方程式 / ヘルダー指数 / ブラウン運動 / 非線形熱方程式 / 反応拡散方程式 / 放物型 / 偏微分方程式 / 非局所放物型方程式 / 分数冪拡散方程式 / 非局所拡散現象 / 時間非整数階微分 / 非局所拡散方程式 / 爆発問題 / 非局所作用素 / 退化放物型方程式 Less

Analysis of formation and extinction of singularities in nonlinear parabolic equationsPrincipal Investigator
- Principal Investigator
  
  高橋仁
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Institute of Technology
New trends in parabolic equations with nonlocal structures
- Principal Investigator
  
  川上竜樹
- Project Period (FY)
  2022 – 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
  Ryukoku 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
Mechanism of singularity preservation for solutions in parabolic equationsPrincipal Investigator
- Principal Investigator
  
  Takahashi Jin
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Institute of Technology

All 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Initial traces and solvability for a semilinear heat equation on a half space of R^N2023
- Author(s)
  Hisa Kotaro、Ishige Kazuhiro、Takahashi Jin
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 376 Issue: 8 Pages: 5731-5773
- DOI
  10.1090/tran/8922
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K12998, KAKENHI-PROJECT-22KK0035, KAKENHI-PROJECT-23K22402
[Journal Article] Solvability of a semilinear heat equation on Riemannian manifolds2023
- Author(s)
  Takahashi Jin、Yamamoto Hikaru
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 23 Issue: 2 Pages: 1185-1209
- DOI
  10.1007/s00028-023-00883-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K12998, KAKENHI-PROJECT-22KK0035, KAKENHI-PROJECT-23K22402
[Journal Article] Infinite-time incompleteness of noncompact Yamabe flow2022
- Author(s)
  Takahashi Jin、Yamamoto Hikaru
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 61 Issue: 6
- DOI
  10.1007/s00526-022-02331-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14567, KAKENHI-PROJECT-23K22402
[Journal Article] Entire solutions with moving singularities for a semilinear heat equation with a critical exponent2022
- Author(s)
  Takahashi Jin
- Journal Title
  
  Partial Differential Equations and Applications
  
  Volume: 3 Issue: 2
- DOI
  10.1007/s42985-022-00164-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14567
[Journal Article] Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation2022
- Author(s)
  Fila Marek、Mackova Petra、Takahashi Jin、Yanagida Eiji
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 35 Issue: 11/12 Pages: 729-748
- DOI
  10.57262/die035-1112-729
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035, KAKENHI-PROJECT-19K14567, KAKENHI-PROJECT-23K22402
[Journal Article] Optimal singularities of initial data for solvability of the Hardy parabolic equation2021
- Author(s)
  Hisa Kotaro、Takahashi Jin
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 296 Pages: 822-848
- DOI
  10.1016/j.jde.2021.06.011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14567
[Journal Article] Solutions with snaking singularities for the fast diffusion equation2021
- Author(s)
  Fila Marek、King John Robert、Takahashi Jin、Yanagida Eiji
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 374 Issue: 12 Pages: 8775-8792
- DOI
  10.1090/tran/8479
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567, KAKENHI-PROJECT-17H01095
[Journal Article] Existence of solutions with moving singularities for a semilinear heat equation with a critical exponent2021
- Author(s)
  Takahashi Jin
- Journal Title
  
  Journal de Mathematiques Pures et Appliquees
  
  Volume: 148 Pages: 128-149
- DOI
  10.1016/j.matpur.2021.02.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14567
[Journal Article] On the evolution equation with a dynamic Hardy-type potential2021
- Author(s)
  Chern Jann-Long、Hwang Gyeongha、Takahashi Jin、Yanagida Eiji
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: - Issue: 2 Pages: 2141-2165
- DOI
  10.1007/s00028-021-00675-5
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567
[Journal Article] Existence of solutions for an inhomoge- neous fractional semilinear heat equation2020
- Author(s)
  K. Hisa, K. Ishige, J. Takahashi
- Journal Title
  
  Nonlinear Anal.
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14567
[Journal Article] Critical exponents for the fast diffusion equation with a nonlinear boundary condition2020
- Author(s)
  Sato Ryuichi、Takahashi Jin
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 482 Issue: 1 Pages: 123526-123526
- DOI
  10.1016/j.jmaa.2019.123526
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13435, KAKENHI-PROJECT-19K14567
[Journal Article] Moving singularities for nonlinear diffusion equations in two space dimensions2020
- Author(s)
  M. Fila, P. Mackova, J. Takahashi, E. Yanagida
- Journal Title
  
  J. Elliptic Parabol. Equ.
  
  Volume: - Issue: 1 Pages: 155-169
- DOI
  10.1007/s41808-020-00062-0
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567, KAKENHI-PROJECT-17H01095
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  Workshop on Elliptic & Parabolic PDEs 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Sobolev優臨界な半線形熱方程式における臨界ノルム爆発について2023
- Author(s)
  高橋仁
- Organizer
  応用数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12998
[Presentation] Sobolev優臨界な半線形熱方程式における臨界ノルム爆発について2023
- Author(s)
  高橋仁
- Organizer
  応用数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  Seminar at Johns Hopkins University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  Workshop on Elliptic & Parabolic PDEs 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12998
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12998
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  Euro-Japanese conference on nonlinear diffusions
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12998
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2023
- Author(s)
  高橋仁
- Organizer
  Seminar at Johns Hopkins University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2023
- Author(s)
  高橋仁
- Organizer
  静岡大学におけるセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  Euro-Japanese conference on nonlinear diffusions
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22402
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2023
- Author(s)
  Jin Takahashi
- Organizer
  Euro-Japanese conference on nonlinear diffusions
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2023
- Author(s)
  高橋仁
- Organizer
  静岡大学におけるセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2023
- Author(s)
  高橋仁
- Organizer
  静岡大学におけるセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K22402
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2022
- Author(s)
  高橋仁
- Organizer
  Seminar on Qualitative Theory of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Infinite-time blow-down of singular solutions in the fast diffusion equation2022
- Author(s)
  Jin Takahashi
- Organizer
  SIAM Conference on Analysis of PDE
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2022
- Author(s)
  高橋仁
- Organizer
  Mathematical Analysis on Fluid Dynamics and Conservation Laws
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Sobolev優臨界な藤田型方程式における臨界ノルム爆発について2022
- Author(s)
  高橋仁
- Organizer
  発展方程式における形状解析と漸近解析
- Invited
- Data Source
  KAKENHI-PROJECT-23K22402
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2022
- Author(s)
  高橋仁
- Organizer
  Seminar on Qualitative Theory of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22402
[Presentation] Critical norm blow-up for a supercritical semilinear heat equation2022
- Author(s)
  高橋仁
- Organizer
  Mathematical Analysis on Fluid Dynamics and Conservation Laws
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22402
[Presentation] Sobolev優臨界な藤田型方程式における臨界ノルム爆発について2022
- Author(s)
  高橋仁
- Organizer
  発展方程式における形状解析と漸近解析
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Blow-up of the critical norm for a supercritical semilinear heat equation2022
- Author(s)
  高橋仁
- Organizer
  Seminar at Johns Hopkins University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22402
[Presentation] Existence of solutions with moving singularities for a semilinear heat equation with a critical exponent2021
- Author(s)
  高橋仁
- Organizer
  京都大学 NLPDE セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Hardy parabolic equationの時間局所可解性について2021
- Author(s)
  高橋仁
- Organizer
  応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Fast diffusion方程式における特異解の無限時間blow-downについて2021
- Author(s)
  高橋仁
- Organizer
  神戸大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] ある臨界指数を持つ半線形熱方程式に対する動的特異点を持つ解の存在について2021
- Author(s)
  高橋仁
- Organizer
  広島数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] ある臨界指数を持つ半線形熱方程式における動的特異点を持つ解の存在について2020
- Author(s)
  高橋仁
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] ある臨界指数を持つ藤田型方程式に対する動的特異点を持つ解の存在について2020
- Author(s)
  高橋仁
- Organizer
  鳥取 PDE 研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] 非斉次半線形熱方程式のシャープな可解性条件について2020
- Author(s)
  高橋仁
- Organizer
  Elliptic & Parabolic セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Existence of solutions with moving singularities for a semilinear heat equation with a critical exponent2020
- Author(s)
  J. Takahashi
- Organizer
  Seminar on Qualitative Theory of Differential Equations, Comenius University, Slovakia
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] $u_t-\Delta u=u^\frac{N}{N-2}$に対する動的特異点を持つ解の構成2020
- Author(s)
  高橋仁
- Organizer
  楕円型・放物型方程式の集いの会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Existence of solutions with moving singularities for equations of porous medium type2019
- Author(s)
  高橋仁
- Organizer
  Workshop on Nonlinear PDE in Numazu, 沼津市民文化センター
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Existence of solutions to an inhomogeneous fractional heat equation2019
- Author(s)
  J. Takahashi
- Organizer
  Seminar on Qualitative Theory of Differential Equations, Comenius University, Slovakia
- Invited
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Existence of solutions with time-dependent singular sets for the heat equation with absorption, Singular Problems,2019
- Author(s)
  J. Takahashi
- Organizer
  Blow-up, and Regimes with Peaking in Nonlinear PDEs, RUDN University, Russia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567
[Presentation] Existence of solutions with time-dependent singular sets for the heat equation with absorption2019
- Author(s)
  J. Takahashi
- Organizer
  VI Italian-Japanese Workshop “Geometric properties for parabolic and elliptic PDE’s”, Palazzone di Cortona, Italy
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14567

1. 川上竜樹 (20546147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 藤嶋陽平 (70632628)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 向井晨人 (70912319)

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4. ZHANPEISOV ERBOL (70962653)

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5. 柳田英二 (80174548)

# of Collaborated Projects: 1 results

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6. 岡田いず海 (40795605)

# of Collaborated Projects: 1 results

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7. 菅徹 (60647270)

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8. 二宮広和 (90251610)

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9. 佐藤龍一

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Takahashi Jin 高橋 仁

Research Projects

Research Products

Co-Researchers

Analysis of formation and extinction of singularities in nonlinear parabolic equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New trends in parabolic equations with nonlocal structures

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

Mechanism of singularity preservation for solutions in parabolic equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Initial traces and solvability for a semilinear heat equation on a half space of R^N2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Solvability of a semilinear heat equation on Riemannian manifolds2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Infinite-time incompleteness of noncompact Yamabe flow2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Entire solutions with moving singularities for a semilinear heat equation with a critical exponent2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Optimal singularities of initial data for solvability of the Hardy parabolic equation2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Solutions with snaking singularities for the fast diffusion equation2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of solutions with moving singularities for a semilinear heat equation with a critical exponent2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the evolution equation with a dynamic Hardy-type potential2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of solutions for an inhomoge- neous fractional semilinear heat equation2020

Author(s)

Journal Title

Data Source

[Journal Article] Critical exponents for the fast diffusion equation with a nonlinear boundary condition2020

Author(s)

Journal Title

Takahashi Jin 高橋仁