川上竜樹

カワカミタツキ | Kawakami Tatsuki

所属機関・部署：
職名：教授
ホームページURL (2件)： https://kawakami.math.ryukoku.ac.jp/kawakami.html , https://kawakami.math.ryukoku.ac.jp/kawakami-e.html

研究分野 (1件)：数理解析学

研究キーワード (5件)：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

競争的資金等の研究課題 (13件)：

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論文 (41件)：

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, Shinya Okabe. Existence of solutions to nonlinear parabolic equations via majorant integral kernel. Nonlinear Analysis. 2022. 223. 113025-113025
Giulia Furioli, Tatsuki Kawakami, Elide Terraneo. Heat equation with an exponential nonlinear boundary condition in the half space. Partial Differential Equations and Applications. 2022. 3. 3
Shoichi Hasegawa, Norihisa Ikoma, Tatsuki Kawakami. On weak solutions to a fractional hardy-henon equation: Part i: nonexistence. Communications on Pure and Applied Analysis. 2021. 20. 4. 1559-1600
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami. The large diffusion limit for the heat equation with a dynamical boundary condition. Communications in Contemporary Mathematics. 2021. 23. 01. 2050003-2050003

MISC (2件)：

川上竜樹. 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). 数理解析研究所講究録. 2012. 1792. 1-17
石毛和弘, 川上竜樹. On the Heat Equation in a Half-Space with a Nonlinear Boundary Condition (Variational Problems and Related Topics). 数理解析研究所講究録. 2009. 1671. 128-145

書籍 (1件)：

講演・口頭発表等 (55件)：

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)

学歴 (1件)：

学位 (1件)：

経歴 (6件)：

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委員歴 (1件)：

受賞 (1件)：

所属学会 (1件)：

日本数学会

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川上 竜樹