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 (13)：

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
2018 - 2022 Geometry of partial differential equations and inverse problems

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Papers (44)：

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
Shoichi Hasegawa, Norihisa Ikoma, Tatsuki Kawakami. On weak solutions to a fractional Hardy-Hénon equation, Part II: Existence. Nonlinear Analysis. 2023. 227. 113165-113165
Kazuhiro Ishige, Tatsuki Kawakami. Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations. Journal of Dynamics and Differential Equations. 2022. 36. 3. 2679-2702
Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe. Existence of solutions to nonlinear parabolic equations via majorant integral kernel. Nonlinear Analysis. 2022. 223. 113025-113025

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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 (55)：

Critical Fujita exponents for semilinear heat equations with quadratically decaying potential
(Nonlinear Analysis Workshop 2019)
Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients
(New development in the theory of evolution equations: theory, phenomena and technology 2019)
Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients
(4th Swiss-Japanese PDE Seminar 2019)
Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients
(The 44th Sapporo Symposium on Partial Differential Equations 2019)
Critical Fujita exponents for semilinear heat equations with quadratically decaying potential
(Workshop on Nonlinear parabolic PDEs and related fields 2019)

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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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