FUJISHIMA YOHEI 藤嶋陽平

… Alternative Names

Fujishima Yohei 藤嶋陽平

FUJISHIMA Yohei 藤嶋陽平

Less

Researcher Number	70632628
Other IDs
Affiliation (Current)	2025: 静岡大学, 工学部, 准教授
Affiliation (based on the past Project Information) *help	2015 – 2023: 静岡大学, 工学部, 准教授 2012 – 2013: 大阪大学, 基礎工学研究科, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Global analysis Except Principal Investigator Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 時間大域解 / 可解性 / 非線形熱方程式 / 爆発問題 / 準自己相似性 / 半線形熱方程式 / 藤田指数 / 特異性 / 自己相似性 / 爆発解 … More / dilation-singularity / 準前方自己相似解 / 時間局所可解性 / 時間大域可解性 / 時間局所解 / 初期値の空間減衰 / 初期値の特異性 / 解の存在・非存在 / 非線形現象 / 拡散方程式 / 有限時間爆発 / 解の特異性 / 解の存在 / 拡散現象 / 非線形問題 / 熱方程式 / 漸近挙動 / 解の局所存在・非存在 / 非線形拡散方程式 / 前方自己相似解 / 準スケール変換 / Liouville型定理 / 劣解 / 優解 / 比較原理 / 指数型非線形項 / 解の形状 / 拡散係数 / 爆発集合 / 非線形偏微分方程式 … More Except Principal Investigator 非局所放物型方程式 / 分数冪拡散方程式 / 非局所拡散現象 / 特異性 / 時間非整数階微分 / 非局所拡散方程式 / 可解性 / 爆発問題 / 臨界指数 / 非局所作用素 / 退化放物型方程式 Less

Quasi self-similar transformation for a semilinear heat equation and its application to the solvabilityPrincipal Investigator
- Principal Investigator
  
  藤嶋陽平
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shizuoka University
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
Solvability for a nonlinear heat equation with singular initial dataPrincipal Investigator
- Principal Investigator
  
  Fujishima Yohei
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shizuoka University
Behavior of solutions for various nonlinear diffusion equationsPrincipal Investigator
- Principal Investigator
  
  Fujishima Yohei
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Shizuoka University
Blow-up problem for a nonlinear diffusion equation and its diffusion coefficientPrincipal Investigator
- Principal Investigator
  
  FUJISHIMA Yohei
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Global analysis
- Research Institution
  Osaka University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013

All Journal Article Presentation

[Journal Article] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  Fujishima Yohei、Ioku Norisuke
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 236 Pages: 113321-113321
- DOI
  10.1016/j.na.2023.113321
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035, KAKENHI-PROJECT-23K03179
[Journal Article] 半線形熱方程式の可解性2023
- Author(s)
  藤嶋陽平
- Journal Title
  
  数学
  
  Volume: 75 Pages: 151-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22KK0035
[Journal Article] 半線形熱方程式の可解性2023
- Author(s)
  藤嶋陽平
- Journal Title
  
  数学
  
  Volume: 75 Pages: 151-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03179
[Journal Article] Global in time solvability for a semilinear heat equation without the self-similar structure2022
- Author(s)
  Y. Fujishima and N. Ioku
- Journal Title
  
  Partial Differential Equations and Applications
  
  Volume: 3 Issue: 2
- DOI
  10.1007/s42985-022-00158-3
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K13441, KAKENHI-PROJECT-19K14569, KAKENHI-PROJECT-20KK0057, KAKENHI-PROJECT-19H05597
[Journal Article] Solvability of superlinear fractional parabolic equations2022
- Author(s)
  Fujishima Yohei、Hisa Kotaro、Ishige Kazuhiro、Laister Robert
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 23 Issue: 1
- DOI
  10.1007/s00028-022-00853-z
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-22KK0035, KAKENHI-PROJECT-19K14569
[Journal Article] Initial traces and solvability of Cauchy problem to a semilinear parabolic system2021
- Author(s)
  FUJISHIMA Yohei、ISHIGE Kazuhiro
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 73 Issue: 4 Pages: 1187-1219
- DOI
  10.2969/jmsj/84728472
- NAID
  130008106923
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19K14569, KAKENHI-PROJECT-19H05599
[Journal Article] Solvability of a Semilinear Heat Equation via a Quasi Scale Invariance2021
- Author(s)
  Fujishima Yohei、Ioku Norisuke
- Journal Title
  
  Geometric Properties for Parabolic and Elliptic PDE's
  
  Volume: － Pages: 79-101
- DOI
  10.1007/978-3-030-73363-6_5
- ISBN
  9783030733629, 9783030733636
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14569, KAKENHI-PROJECT-20KK0057, KAKENHI-PROJECT-19H05597
[Journal Article] Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators2020
- Author(s)
  Y. Fujishima, K. Ishige
- Journal Title
  
  J. Dynam. Differential Equations
  
  Volume: 32 Issue: 3 Pages: 1219-1231
- DOI
  10.1007/s10884-019-09790-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19K14569, KAKENHI-PROJECT-19H05599
[Journal Article] Finite speed propagation for parabolic quasiminimizers2020
- Author(s)
  Fujishima Y.、Habermann J.
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 198 Pages: 111891-111891
- DOI
  10.1016/j.na.2020.111891
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14569
[Journal Article] A fairly strong stability result for parabolic quasiminimizers2018
- Author(s)
  Fujishima Yohei、Habermann Jens、Masson Mathias
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 291 Issue: 8-9 Pages: 1269-1282
- DOI
  10.1002/mana.201700018
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17573
[Journal Article] Existence and nonexistence of solutions for the heat equation with a superlinear source term2018
- Author(s)
  Yohei Fujishima and Norisuke Ioku
- Journal Title
  
  J. Math. Pures Appl. (9)
  
  Volume: 118 Pages: 128-158
- DOI
  10.1016/j.matpur.2018.08.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05333, KAKENHI-PROJECT-15K17573
[Journal Article] Stability for parabolic quasi minimizers in metric measure spaces2018
- Author(s)
  Fujishima Yohei、Habermann Jens
- Journal Title
  
  Rendiconti Lincei - Matematica e Applicazioni
  
  Volume: 29 Issue: 2 Pages: 343-376
- DOI
  10.4171/rlm/810
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17573
[Journal Article] On the effect of higher order derivatives of initial data on the blow-up set for a semilinear heat equation2018
- Author(s)
  Fujishima Yohei
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 17 Issue: 2 Pages: 449-475
- DOI
  10.3934/cpaa.2018025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17573
[Journal Article] Global existence and blow-up of solutions for the heat equation with exponential nonlinearity2018
- Author(s)
  Fujishima Yohei
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 264 Issue: 11 Pages: 6809-6842
- DOI
  10.1016/j.jde.2018.01.048
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17573
[Journal Article] Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces2017
- Author(s)
  Fujishima Yohei、Habermann Jens
- Journal Title
  
  Advances in Calculus of Variations
  
  Volume: 10 Issue: 3 Pages: 267-301
- DOI
  10.1515/acv-2015-0038
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17573
[Journal Article] Blow-up set of type I blowing up solutions for nonlinear parabolic systems2017
- Author(s)
  Fujishima Yohei、Ishige Kazuhiro、Maekawa Hiroki
- Journal Title
  
  Mathematische Annalen
  
  Volume: 369 Issue: 3-4 Pages: 1491-1525
- DOI
  10.1007/s00208-016-1498-7
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K17573, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-20K20284
[Journal Article] Blow-up set for type I blowing up solutions for a semilinear heat equation2014
- Author(s)
  Yohei Fujishima, and Kazuhiro Ishige
- Journal Title
  
  Annales de l'Institut Henri Poincare (C) Non Linear Analysis
  
  Volume: 31 Pages: 231-247
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  藤嶋陽平
- Organizer
  ICIAM2023 Minisymposium Nonlinear PDEs and related diffusion phenomena
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03179
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  藤嶋陽平
- Organizer
  Geometric PDE and Applied Analysis Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-23K03179
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  Yohei Fujishima
- Organizer
  ICIAM2023 Minisymposium Nonlinear PDEs and related diffusion phenomena
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  Yohei Fujishima
- Organizer
  Seminar at Johns Hopkins University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  藤嶋陽平
- Organizer
  Geometric PDE and Applied Analysis Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  藤嶋陽平
- Organizer
  第14回名古屋微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14569
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  藤嶋陽平
- Organizer
  第11回弘前非線形方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03179
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  藤嶋陽平
- Organizer
  第14回名古屋微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023
- Author(s)
  藤嶋陽平
- Organizer
  第11回弘前非線形方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2022
- Author(s)
  藤嶋陽平
- Organizer
  鳥取PDE研究集会2022
- Invited
- Data Source
  KAKENHI-PROJECT-19K14569
[Presentation] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2022
- Author(s)
  藤嶋陽平
- Organizer
  鳥取PDE研究集会2022
- Invited
- Data Source
  KAKENHI-PROJECT-22KK0035
[Presentation] Global in time solvability for a semilinear heat equation without the self-similar structure2022
- Author(s)
  藤嶋陽平
- Organizer
  Critical Exponent and Nonlinear Partial Differential Equations 2022
- Invited
- Data Source
  KAKENHI-PROJECT-19K14569
[Presentation] Solvability for a semilinear heat equation without the self-similar structure2019
- Author(s)
  Yohei Fujishima
- Organizer
  VI Italian-Japanese workshop `Geometric Properties for Parabolic and Elliptic PDE's'
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14569
[Presentation] 自己相似性を持たない半線形熱方程式の可解性2019
- Author(s)
  藤嶋陽平
- Organizer
  日本数学会２０１９年度年会函数方程式論分科会特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-15K17573
[Presentation] Existence and nonexistence of global in time solutions for a superlinear heat equation2018
- Author(s)
  藤嶋陽平
- Organizer
  RIMS共同研究（公開型）反応拡散方程式ー伝播現象と特異性の解析および諸科学への応用ー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17573
[Presentation] Global in time existence of solutions for the heat equation with a superlinear source term2018
- Author(s)
  藤嶋陽平
- Organizer
  RIMS共同研究（公開型）保存則をもつ偏微分方程式の解の正則性, 特異性および漸近挙動の研究
- Invited
- Data Source
  KAKENHI-PROJECT-15K17573
[Presentation] Finite propagation of the support of a parabolic quasiminimizer2018
- Author(s)
  Fujishima Yohei
- Organizer
  Conference on `Metrics and Measures'
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17573
[Presentation] Global in time existence of solutions for the heat equation with a superlinear source term2018
- Author(s)
  Yohei Fujishima
- Organizer
  Workshop on Nonlinear Parabolic PDEs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17573
[Presentation] Existence and nonexistence of solutions for the heat equation with a superlinear source term2016
- Author(s)
  Yohei Fujishima
- Organizer
  7th Euro-Japanese workshop on blow-up
- Place of Presentation
  Bedlewo conference center, Poland
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17573
[Presentation] Existence and nonexistence of solutions for a heat equation with a superlinear source term2015
- Author(s)
  藤嶋陽平
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  東京大学大学院数理科学研究科（東京都目黒区）
- Year and Date
  2015-12-19
- Invited
- Data Source
  KAKENHI-PROJECT-15K17573
[Presentation] Stability for parabolic quasiminimizers2014
- Author(s)
  藤嶋陽平
- Organizer
  Joint research program on nonlinear PDE's University of Firenze and Tohoku University
- Place of Presentation
  University of Florence
- Invited
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Stability for parabolic quasiminimizers2014
- Author(s)
  藤嶋陽平
- Organizer
  Joint research program on nonlinear PDE's
- Place of Presentation
  University of Firenze and Tohoku University, University of Florence
- Year and Date
  2014-03-07
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Blow-up set for a superlinear heat equation and pointedness of the initial data2013
- Author(s)
  藤嶋陽平
- Organizer
  第５回東北楕円型・放物型微分方程式研究集会
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Blow-up set for a superlinear heat equation and pointedness of the initial data2013
- Author(s)
  藤嶋陽平
- Organizer
  3rd Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Blow-up set for a superlinear heat equation and pointedness of the initial data2013
- Author(s)
  藤嶋陽平
- Organizer
  第5回東北楕円型・放物型微分方程式研究集会
- Place of Presentation
  東北大学
- Year and Date
  2013-01-26
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Blow-up set for a superlinear heat equation and pointedness of the initial data2013
- Author(s)
  藤嶋陽平
- Organizer
  大阪市大・大阪府大合同南大阪応用数学セミナー
- Place of Presentation
  大阪府立大学
- Year and Date
  2013-05-18
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Blow-up set for a superlinear heat equation and pointedness of the initial data2013
- Author(s)
  藤嶋陽平
- Organizer
  大阪市大・大阪府大合同「南大阪応用数学セミナー」
- Place of Presentation
  大阪府立大学中百舌鳥キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24840027
[Presentation] Blow-up set for a superlinear heat equation and pointedness of the initial data2013
- Author(s)
  藤嶋陽平
- Organizer
  3^<rd> Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  東京工業大学
- Year and Date
  2013-09-05
- Data Source
  KAKENHI-PROJECT-24840027

1. 川上竜樹 (20546147)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. ZHANPEISOV ERBOL (70962653)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. IOKU Norisuke

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
6. 石毛和弘

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

FUJISHIMA YOHEI 藤嶋 陽平

Fujishima Yohei 藤嶋 陽平

FUJISHIMA Yohei 藤嶋 陽平

Research Projects

Research Products

Co-Researchers

Quasi self-similar transformation for a semilinear heat equation and its application to the solvabilityPrincipal 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

Solvability for a nonlinear heat equation with singular initial dataPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Behavior of solutions for various nonlinear diffusion equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Blow-up problem for a nonlinear diffusion equation and its diffusion coefficientPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 半線形熱方程式の可解性2023

Author(s)

Journal Title

Data Source

[Journal Article] 半線形熱方程式の可解性2023

Author(s)

Journal Title

Data Source

[Journal Article] Global in time solvability for a semilinear heat equation without the self-similar structure2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Solvability of superlinear fractional parabolic equations2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Initial traces and solvability of Cauchy problem to a semilinear parabolic system2021

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Journal Article] Solvability of a Semilinear Heat Equation via a Quasi Scale Invariance2021

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Finite speed propagation for parabolic quasiminimizers2020

Author(s)

FUJISHIMA YOHEI 藤嶋陽平

Fujishima Yohei 藤嶋陽平

FUJISHIMA Yohei 藤嶋陽平