Harada Junichi 原田潤一

… Alternative Names

原田潤一ハラダジュンイチ

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Researcher Number	00580169
Other IDs
Affiliation (Current)	2025: 秋田大学, 教育文化学部, 准教授
Affiliation (based on the past Project Information) *help	2023: 秋田大学, 教育文化学部, 准教授 2014 – 2021: 秋田大学, 教育文化学部, 准教授
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis
Keywords	Principal Investigator 解の爆発問題 / 非線形熱方程式 / 複素数熱方程式 / 爆発解の分類 / デルタ関数型の特異点 / エネルギー臨界型微分方程式 / デルタ関数型爆発解 / 解の爆発 / 微分方程式の解の爆発問題 / 接着法 … More / エネルギー臨界型熱方程式 / 接合漸近展開 / 摂動項を持つエネルギー臨界型熱方程式 / エネルギー臨界型方程式 / 接合千金展開法 / 複素熱方程式 / 偏微分方程式 / 爆発プロファイル / 同次・非同時爆発 / 複素数値熱方程式 / 日自己相似爆発 / 同時・非同時爆発 / 爆発問題 Less

Research Projects
(3 results)
Research Products
(33 results)

Analysis on delta function type singularities in nonlinear heat equationsPrincipal Investigator
- Principal Investigator
  
  原田潤一
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Akita University
Analysis on nonlinear heat equations based on the matched asymptotic expansionsPrincipal Investigator
- Principal Investigator
  
  Harada Junichi
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Akita University
Blowup problems for nonlinear heat equationsPrincipal Investigator
- Principal Investigator
  
  Harada Junichi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Akita University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[Journal Article] Existence of blowup solutions to the semilinear heat equation with double power nonlinearity2024
- Author(s)
  Harada Junichi
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 63 Issue: 2
- DOI
  10.1007/s00526-023-02638-9
- Data Source
  KAKENHI-PROJECT-23K03161
[Journal Article] A Type II Blowup for the Six Dimensional Energy Critical Heat Equation2020
- Author(s)
  Junichi Harada
- Journal Title
  
  Annals of PDE
  
  Volume: 6 Issue: 2
- DOI
  10.1007/s40818-020-00088-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13437
[Journal Article] A higher speed type II blowup for the five dimensional energy critical heat equation2020
- Author(s)
  Junichi Harada
- Journal Title
  
  Annales de l'Institut Henri Poincare C, Analyse non lineaire
  
  Volume: 37 Issue: 2 Pages: 309-341
- DOI
  10.1016/j.anihpc.2019.09.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13437
[Journal Article] Construction of type II blow-up solutions for a semilinear parabolic system with higher dimension2018
- Author(s)
  Junichi Harada
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 56 Issue: 4
- DOI
  10.1007/s00526-017-1213-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800065
[Journal Article] Blow-up sets for a complex-valued semilinear heat equation2017
- Author(s)
  原田潤一
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 印刷中 Issue: 2 Pages: 849-867
- DOI
  10.1007/s00028-016-0341-7
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800065
[Journal Article] Nonsimultaneous blowup for a complex valued semilinear heat equation2017
- Author(s)
  Junichi Harada
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 263 Issue: 8 Pages: 4503-4516
- DOI
  10.1016/j.jde.2017.05.024
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800065
[Journal Article] Blowup profile for a complex valued semilinear heat equation2016
- Author(s)
  原田潤一
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 270 Issue: 11 Pages: 4213-4255
- DOI
  10.1016/j.jfa.2016.03.015
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800065
[Journal Article] Blow-up behavior of solutions to the heat equation with nonlinear boundary conditions2015
- Author(s)
  原田潤一
- Journal Title
  
  Advances in Differential Equations
  
  Volume: 20 Pages: 23-76
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800065
[Journal Article] Non self-similar blow-up solutions to the heat equation with nonlinear boundary conditions2014
- Author(s)
  原田潤一
- Journal Title
  
  Nonlinear　Analysis
  
  Volume: 102 Pages: 36-83
- DOI
  10.1016/j.na.2014.01.028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800065
[Journal Article] Positive solutions to the Laplace equation with nonlinear boundary conditions on the half space2014
- Author(s)
  原田潤一
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 50 Issue: 1-2 Pages: 399-435
- DOI
  10.1007/s00526-013-0640-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] 空間６次元藤田型熱方程式の爆発解とその漸近形について2023
- Author(s)
  原田潤一
- Organizer
  微分方程式の総合的研究
- Invited
- Data Source
  KAKENHI-PROJECT-23K03161
[Presentation] Remarks on the asymptotic behavior of solutions to the six dimensional Fujita equation2023
- Author(s)
  原田潤一
- Organizer
  楕円型・放物型微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03161
[Presentation] 臨界型熱方程式の解の爆発問題について2023
- Author(s)
  原田潤一
- Organizer
  日本数学会東北支部会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03161
[Presentation] 複素数熱方程式の解の延長可能性について2023
- Author(s)
  原田潤一
- Organizer
  第９１回東工大数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K03161
[Presentation] 複素数熱方程式の爆発解の漸近挙動に関する一考察2023
- Author(s)
  原田潤一
- Organizer
  第７９４階応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03161
[Presentation] ソボレフ臨界冪と劣線形冪を持つ熱方程式の爆発解とそのレートについて2022
- Author(s)
  原田潤
- 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-18K13437
[Presentation] 非線形熱方程式の解の爆発問題について2022
- Author(s)
  原田潤
- Organizer
  2021年度日本数学会東北支部会
- Data Source
  KAKENHI-PROJECT-18K13437
[Presentation] べき乗型非線形熱方程式におけるタイプII爆発解について2021
- Author(s)
  原田潤一
- Organizer
  RIMS共同研究（グループ型 A）非線形問題への常微分方程式の手法によるアプローチ」
- Invited
- Data Source
  KAKENHI-PROJECT-18K13437
[Presentation] ２つのべき乗型非線形項を持つ熱方程式の爆発解の存在について2021
- Author(s)
  原田潤一
- Organizer
  第４７回発展方程式研究会
- Data Source
  KAKENHI-PROJECT-18K13437
[Presentation] Construction of blowup solutions for the energy critical heat equation in 5D and 6D2020
- Author(s)
  原田潤一
- Organizer
  第37回九州における偏微分方程式研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13437
[Presentation] 5次元・6次元エネルギー臨界型熱方程式におけるタイプII型爆発解の存在について2019
- Author(s)
  原田潤一
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K13437
[Presentation] Profile of blowup solutions to the heat equation with nonlinear boundary condition2018
- Author(s)
  原田潤一
- Organizer
  8th Euro-Japanese Workshop on Blow-up
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13437
[Presentation] Singularities of blowup solutions for heat equation with a nonlinear boundary condition2018
- Author(s)
  原田潤一
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13437
[Presentation] Type II blowup solutions for a semilinear parabolic system2017
- Author(s)
  原田潤一
- Organizer
  九州における偏微分方程式研究集会
- Place of Presentation
  九州大学
- Year and Date
  2017-02-01
- Invited
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] Boundary behavior for solutions of the heat equation with a nonlinear boundary condition2017
- Author(s)
  原田潤一
- Organizer
  日本数学会２０１７年度会
- Place of Presentation
  首都大学東京
- Year and Date
  2017-03-26
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] 非線形境界条件熱方程式の爆発解の境界付近での漸近挙動について2017
- Author(s)
  原田潤一
- Organizer
  福島における偏微分方程式論集中ワークショップ
- Place of Presentation
  コラッセふくしま
- Year and Date
  2017-02-12
- Invited
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] Exact blow-up profile for a heat equation with a nonlinear boundary condition2017
- Author(s)
  原田潤一
- Organizer
  RIMS 偏微分方程式の解の形状解析
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] 複素数値半線形熱方程式における非同時爆発の可能性について2015
- Author(s)
  原田潤一
- Organizer
  2015年度日本数学会年会
- Place of Presentation
  明治大学（東京都・千代田区）
- Year and Date
  2015-03-22
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] Simultaneous and nonsimultaneous blow-up for a semilinear parabolic system in higher dimension2015
- Author(s)
  原田潤一
- Organizer
  3rd Chile-Japan Workshop on Nonlinear PDE
- Place of Presentation
  大阪大学
- Year and Date
  2015-12-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] 複素数値半線形熱方程式における非同時爆発の可能性について2015
- Author(s)
  原田潤一
- Organizer
  第三回北海道-東北コンソーシアムセミナー
- Place of Presentation
  小樽商科大学
- Year and Date
  2015-07-18
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] Blow-up points for a semilinear complex-valued heat equation2014
- Author(s)
  原田潤一
- Organizer
  第２３回なかもず解析セミナー
- Place of Presentation
  大阪府立大学（大阪府・羽曳野市）
- Year and Date
  2014-11-28
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] ある非線形熱方程式系の爆発点について2014
- Author(s)
  原田潤一
- Organizer
  ２０１４年度　日本数学会　秋季総合文科会
- Place of Presentation
  広島大学（広島県・東広島市）
- Year and Date
  2014-09-28
- Data Source
  KAKENHI-PROJECT-26800065
[Presentation] 複素数に値をとる半線形熱方程式の爆発点について2014
- Author(s)
  原田潤一
- Organizer
  第５回移流と拡散の数理
- Place of Presentation
  九州大学西新プラザ（福岡県・福岡市）
- Year and Date
  2014-11-22
- Data Source
  KAKENHI-PROJECT-26800065

Harada Junichi 原田 潤一

原田 潤一 ハラダ ジュンイチ

Research Projects

Research Products

Analysis on delta function type singularities in nonlinear heat equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis on nonlinear heat equations based on the matched asymptotic expansionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Blowup problems for nonlinear heat equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Existence of blowup solutions to the semilinear heat equation with double power nonlinearity2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A Type II Blowup for the Six Dimensional Energy Critical Heat Equation2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A higher speed type II blowup for the five dimensional energy critical heat equation2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Construction of type II blow-up solutions for a semilinear parabolic system with higher dimension2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Blow-up sets for a complex-valued semilinear heat equation2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Nonsimultaneous blowup for a complex valued semilinear heat equation2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Blowup profile for a complex valued semilinear heat equation2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Blow-up behavior of solutions to the heat equation with nonlinear boundary conditions2015

Author(s)

Journal Title

Data Source

[Journal Article] Non self-similar blow-up solutions to the heat equation with nonlinear boundary conditions2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Positive solutions to the Laplace equation with nonlinear boundary conditions on the half space2014

Author(s)

Journal Title

DOI

Data Source

[Presentation] 空間６次元藤田型熱方程式の爆発解とその漸近形について2023

Author(s)

Organizer

Data Source

[Presentation] Remarks on the asymptotic behavior of solutions to the six dimensional Fujita equation2023

Author(s)

Organizer

Data Source

[Presentation] 臨界型熱方程式の解の爆発問題について2023

Harada Junichi 原田潤一

原田潤一ハラダジュンイチ