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J-GLOBAL ID：201501030734633463   Update date: Sep. 20, 2024

Fujishima Yohei

フジシマ ヨウヘイ | Fujishima Yohei
Affiliation and department：
Shizuoka University Faculty of Engineering - Department of Mathematical and Systems Engineering

About Shizuoka University Faculty of Engineering - Department of Mathematical and Systems Engineering


Job title： Associate Professor
Homepage URL  (1)： https://kaken.nii.ac.jp/d/r/70632628.ja.html
Research field  (1)： Mathematical analysis
Research keywords  (5)： 解の特異性 ,  解の形状 ,  爆発問題 ,  拡散方程式 ,  非線形熱方程式
Research theme for competitive and other funds  (4)：
  • 2023 - 2027 半線形熱方程式に対する準自己相似変換と可解性への応用
  • 2019 - 2023 Solvability for a nonlinear heat equation with singular initial data
  • 2015 - 2019 Behavior of solutions for various nonlinear diffusion equations
  • 2012 - 2014 Blow-up problem for a nonlinear diffusion equation and its diffusion coefficient
Papers (26)：
  • Yohei Fujishima, Kotaro Hisa, Kazuhiro Ishige, Robert Laister. Local solvability and dilation-critical singularities of supercritical fractional heat equations. Journal de Mathématiques Pures et Appliquées. 2024. 150-175
  • Yohei Fujishima, Norisuke Ioku. Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation. Nonlinear Analysis. 2023
  • 藤嶋陽平. 半線形熱方程式の可解性. 数学. 2023. 2. 151-172
  • Yohei Fujishima, Hisa Kotaro, Kazuhiro Ishige, Robert Laister. Solvability of superlinear fractional parabolic equations. Journal of Evolution Equations. 2023. 4
  • Yohei Fujishima, Kazuhiro Ishige. Optimal singularities of initial functions for solvability of a semilinear parabolic system. Journal of the Mathematical Society of Japan. 2022. 74. 2. 591-627
ｍore...
Lectures and oral presentations  (29)：
  • Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation
    (Geometric PDE and Applied Analysis Seminar 2023)
  • Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation
    (第11回弘前非線形方程式研究会 2023)
  • Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation
    (第14回名古屋微分方程式研究集会 2023)
  • Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation
    (鳥取PDE研究集会2022 2022)
  • Global in time solvability for a semilinear heat equation without the self-similar structure
    (Critical Exponent and Nonlinear Partial Differential Equations 2022 2022)
ｍore...
Professional career (1)：
  • 博士(理学) (東北大学)
Work history (2)：
  • 2015/04 - 現在 Shizuoka University
  • 2012/04 - 2015/03 Osaka University Graduate School of Engineering Science
Committee career (1)：
  • 2020/04 - 2024/03 日本数学会函数方程式論分科会 日本数学会函数方程式論分科会情報委員会運営委員
Awards (1)：
  • 2018/09 - The Mathematical Society of Japan The 2018 MSJ Takebe Katahiro Prize Research on blow-up set of solutions for the semilinear heat equation
Association Membership(s) (1)：
日本数学会
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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