Kawakami Tatsuki

カワカミタツキ | Kawakami Tatsuki

Affiliation and department：
Job title： Professor
Homepage URL (2)： https://kawakami.math.ryukoku.ac.jp/kawakami.html , https://kawakami.math.ryukoku.ac.jp/kawakami-e.html

Research field (1)： Mathematical analysis

Research keywords (5)：拡散方程式 , 高次漸近展開 , 動的境界条件 , 分数冪拡散方程式 , 偏微分方程式

Research theme for competitive and other funds (14)：

2025 - 2030 偏微分方程式論における解の変容過程の究明と新展開
2022 - 2027 New trends in parabolic equations with nonlocal structures
2020 - 2024 動的境界条件を有する拡散方程式の非線形問題への展開
2019 - 2024 Systematical geometric analysis and asymptotic analysis for evolution equations
2019 - 2023 Research on the global structure of solutions and their stability for nonlocal boundary value problems by using elliptic functions

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Papers (46)：

Norisuke Ioku, Kazuhiro Ishige, Tatsuki Kawakami. Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund-type spaces. Analysis &PDE. 2025
Kazuhiro Ishige, Sho Katayama, Tatsuki Kawakami. Fundamental solution to the heat equation in a half-space with a dynamical boundary condition. Journal of Elliptic and Parabolic Equations. 2025
Kazuhiro Ishige, Tatsuki Kawakami. Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations. Journal of Dynamics and Differential Equations. 2024. 36. 3. 2679-2702
Tatsuki Kawakami, Yannick Sire, Jiayi Nikki Wang. Fujita exponent for the global-in-time solutions to a semilinear heat equation with non-homogeneous weights. Journal of Evolution Equations. 2024. 24. 2
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami. Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data. Zeitschrift für angewandte Mathematik und Physik. 2023. 74. 4

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MISC (2)：

Kawakami Tatsuki. High order asymptotic expansion for the heat equation with a nonlinear boundary condition (Analysis on non-equilibria and nonlinear phenomena : from the evolution equations point of view). RIMS Kokyuroku. 2012. 1792. 1-17
Ishige Kazuhiro, Kawakami Tatsuki. On the Heat Equation in a Half-Space with a Nonlinear Boundary Condition (Variational Problems and Related Topics). RIMS Kokyuroku. 2009. 1671. 128-145

Books (1)：

Lectures and oral presentations (65)：

Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
(The 14th AIMS International Conference on Dynamical Systems, Differential Equations, and Applications 2024)
Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
(Italian-Japanese Workshop on Variational Perspectives for PDEs 2024)
Asymptotic expansions of solutions to fractional diffusion equations
(Geometric PDE and Applied Analysis Seminar 2024)
Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces,
(Italian Japanese Nonlinear Days, 2024)
Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
(East Asia Workshop on Nonlinear Evolution Equations 2024)

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Education (1)：

Professional career (1)：

Work history (6)：

2020/04 - 現在 Ryukoku University Applied Mathematics and Informatics Course, Faculty of Advanced Science and Technology Professor
2019/04 - 2020/03 Ryukoku University Faculty of Science and Technology, Department of Applied Mathematics and Informatics
2017/04 - 2019/03 Ryukoku University Faculty of Science and Technology, Department of Applied Mathematics and Informatics Associate Professor
2015/04 - 2017/03 Osaka Prefecture University Department of Mathematical Sciences Associate professor
2012/04 - 2015/03 Osaka Prefecture University Department of Mathematical Sciences Lecturer

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Committee career (1)：

Awards (1)：

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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