Rchr
J-GLOBAL ID：201801014322205170   Update date: Oct. 29, 2024

Takahashi Jin

タカハシ ジン | Takahashi Jin
Affiliation and department：
Institute of Sciecne Tokyo School of Computing, Department of Mathematical and Computing Science

About Institute of Sciecne Tokyo School of Computing, Department of Mathematical and Computing Science


Job title： Associate Professor
Research field  (1)： Mathematical analysis
Research keywords  (4)： Partial differential equations ,  Nonlinear parabolic equations ,  Singular solutions ,  Blow-up solutions
Research theme for competitive and other funds  (4)：
  • 2023 - 2027 Analysis of formation and extinction of singularities in nonlinear parabolic equations
  • 2022 - 2027 New trends in parabolic equations with nonlocal structures
  • 2022 - 2027 Analysis of dynamic singularities in parabolic partial differential equations
  • 2019 - 2023 放物型方程式における解の特異性保持メカニズムの解明
Papers (24)：
  • Marek Fila, Jin Takahashi, Eiji Yanagida. Solutions with moving singularities for a one-dimensional nonlinear diffusion equation. Mathematische Annalen. 2024
  • Hideyuki Miura, Jin Takahashi. On critical norm blow-up for a nonlinear heat equation. to appear in Proceedings of the conference "Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities.". 2024
  • Hideyuki Miura, Jin Takahashi. Blow-up of the critical norm for a supercritical semilinear heat equation. to appear in J. Eur. Math. Soc. 2023
  • Kotaro Hisa, Kazuhiro Ishige, Jin Takahashi. Initial traces and solvability for a semilinear heat equation on a half space of R^{N}. Transactions of the American Mathematical Society. 2023
  • Jin Takahashi, Hikaru Yamamoto. Solvability of a semilinear heat equation on Riemannian manifolds. Journal of Evolution Equations. 2023. 23. 2
ｍore...
MISC (2)：
  • Erik Lindgren, Jin Takahashi. Moving gradient singularity for the evolutionary $p$-Laplace equation. preprint. 2024
  • Hideyuki Miura, Jin Takahashi. Critical norm blow-up for the energy supercritical nonlinear heat equation. preprint. 2023
Professional career (1)：
  • Doctor of Science (Tokyo Institute of Technology)
Committee career (1)：
  • 2019/07 - 2021/06 The Mathematical Society of Japan Editor, Sugaku Expositions
Awards (1)：
  • 2018/09 - The Mathematical Society of Japan The 2018 MSJ Takebe Katahiro Prize for Encouragement of Young Researchers Moving singularities for parabolic equations
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