内藤雄基

ナイトウユウキ | Naito Yuki

所属機関・部署：
職名：教授

研究分野 (1件)：数理解析学

研究キーワード (2件)：非線形偏微分方程式 , Nonlinear Partial Differential Equations

競争的資金等の研究課題 (32件)：

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論文 (60件)：

Yasuhito Miyamoto, Yūki Naito. Singular solutions for semilinear elliptic equations with general supercritical growth. Annali di Matematica Pura ed Applicata. 2023. 202. 1. 341-366
Yūki Naito. Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions. Journal of Differential Equations. 2021. 297. 144-174
Yasuhito Miyamoto, Yūki Naito. Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations. Nonlinear Differential Equations and Applications. 2020. 27. 6
Yūki Naito, Takasi Senba. Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state. Nonlinear Analysis, Theory, Methods and Applications. 2019. 181. 265-293
Yuki Naito. Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2019

MISC (16件)：

宮本安人, 内藤雄基. Structure of positive solutions for semilinear elliptic equations with supercritical growth (Shapes and other properties of the solutions of PDEs). 数理解析研究所講究録. 2016. 2006. 20-29
内藤雄基. Conditional oscillation for second order linear differential equations (New Developments of Functional Equations in Mathematical Analysis). 数理解析研究所講究録. 2010. 1702. 65-70
NAITO Yuki, SENBA Takasi. Self-similar blow-up for a chemotaxis system in higher dimensional domains (Mathematical analysis on the self-organization and self-similarity). 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu. 2009. 15. 87-99
内藤雄基, 佐藤得志. Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent (Variational Problems and Related Topics). 数理解析研究所講究録. 2009. 1671. 91-95
内藤雄基, 佐藤得志. Positive solutions for semilinear elliptic equations involving Dirac measures(Functional Equations Based upon Phenomena). 数理解析研究所講究録. 2007. 1547. 114-119

書籍 (1件)：

講演・口頭発表等 (29件)：

Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations
(RIMS 共同研究(グループ型) 「常微分方程式の手法による非線形問題の探究」 2019)
Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity
(名古屋微分方程式セミナー 2018)
Singular sextremal solutions for supercritical elliptic equations in a ball
(日本数学会秋期総合分科会 2018)
Incomplete blow-up solutions for semilinear heat equations with supercritical nonlinearity
(The 12Th AIMS conference, SS102 2018)
Positive singular solutions for semilinear elliptic equationswith supercritical nonlinearity
(The 12Th AIMS conference, SS101 2018)

学歴 (6件)：

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学位 (1件)：

経歴 (10件)：

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委員歴 (4件)：

所属学会 (4件)：

日本応用数理学会 , 日本数学会 , Japan Society for Industrial and Applied Mathematics , Japan Mathematical Society

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内藤 雄基