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Last Updated :2025/09/17

Kotaro Hisa

Faculty of Science
Assistant Lecturer/Assistant professor

Profileこのページは作成中です． 随時更新していきます．Contact Pointhisak@fukuoka-u.ac.jp

Researcher information

■ Degree
  • Doctor of Science, Tohoku University, Mar. 2020
■ Research Keyword
  • 藤田型方程式
  • 半線形放物型方程式
■ Field Of Study
  • Natural sciences, Basic analysis, 放物型偏微分方程式

Career

■ Educational Background
  • Apr. 2017 - Mar. 2020
    Tohoku University, Graduate School of Science, Department of Mathematics
  • Apr. 2015 - Mar. 2017
    Tohoku University, Graduate School of Science, Department of Mathematics
  • Apr. 2011 - Mar. 2015
    Tohoku University, Faculty of Science, Department of Mathematics

Research activity information

■ Paper
  • Necessary conditions for the solvability of fractional semilinear heat equations in the very weak framework
    Kotaro Hisa
    Journal of Mathematical Analysis and Applications, Jul. 2025, 547(1):129289 - 129289
  • Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group
    The Anh Bui; Kotaro Hisa
    Annali di Matematica Pura ed Applicata (1923 -), 31 Dec. 2024
  • Existence and Nonexistence of Solutions to the Hardy Parabolic Equation
    Kotaro Hisa; Mikołaj Sierżęga
    Funkcialaj Ekvacioj, 15 Aug. 2024, 67(2):149 - 174
  • Local solvability and dilation-critical singularities of supercritical fractional heat equations
    Yohei Fujishima; Kotaro Hisa; Kazuhiro Ishige; Robert Laister
    Journal de Mathématiques Pures et Appliquées, Jun. 2024, 186:150 - 175
  • On solvability of a time-fractional semilinear heat equation, and its quantitative approach to the classical counterpart
    Kotaro Hisa; Mizuki Kojima
    Communications on Pure and Applied Analysis, 2024, 23(11):1748 - 1769
  • Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}
    Kotaro Hisa; Kazuhiro Ishige; Jin Takahashi
    Transactions of the American Mathematical Society, 09 May 2023, 376(8):5731 - 5773
  • Solvability of superlinear fractional parabolic equations
    Yohei Fujishima; Kotaro Hisa; Kazuhiro Ishige; Robert Laister
    Journal of Evolution Equations, 10 Dec. 2022, 23(1)
  • Optimal singularities of initial data for solvability of the Hardy parabolic equation
    Kotaro Hisa; Jin Takahashi
    Journal of Differential Equations, Sep. 2021, 296:822 - 848
  • Existence of solutions for an inhomogeneous fractional semilinear heat equation
    Kotaro Hisa; Kazuhiro Ishige; Jin Takahashi
    Nonlinear Analysis, Oct. 2020, 199:111920 - 111920
  • Solvability of the Heat Equation with a Nonlinear Boundary Condition
    Kotaro Hisa; Kazuhiro Ishige
    SIAM Journal on Mathematical Analysis, Jan. 2019, 51(1):565 - 594
  • Existence of solutions for a fractional semilinear parabolic equation with singular initial data
    Kotaro Hisa; Kazuhiro Ishige
    Nonlinear Analysis, Oct. 2018, 175:108 - 132
  • Sharp Estimate of the Life Span of Solutions to the Heat Equation with a Nonlinear Boundary Condition
    Kotaro Hisa
    Springer INdAM Series, 24 Feb. 2012, :127 - 149
■ MISC
  • Initial traces of solutions to a semilinear heat equation under the Dirichlet boundary condition
    Kotaro Hisa; Kazuhiro Ishige
    arXiv:2412.06200, Dec. 2024
  • Threshold property of a singular stationary solution for semilinear heat equations with exponential growth
    Kotaro Hisa; Yasuhito Miyamoto
    arXiv:2409.16549, Sep. 2024
  • Optimal singularities of initial data of a fractional semilinear heat equation in open sets
    Kotaro Hisa
    arXiv:2312.10969, Dec. 2023
■ Affiliated academic society
  • 日本数学会 函数方程式分科会所属