Ioku Norisuke

Affiliation and department：

Research field (1)： Mathematical analysis

Research theme for competitive and other funds (20)：

2020 - 2025 New development on higher order elliptic and parabolic PDEs -- cooperation between harmonic analysis and geometric analysis
2021 - 2024 q-指数関数と一般化三角関数を繋ぐオイラー型関係式
2019 - 2024 Creation of advanced method in mathematical analysis on nonlinear mathematical models of critical type
2019 - 2023 臨界型変分問題における領域の幾何の影響-解空間大域構造とコンパクト性喪失機構-
2020 - 2022 Development of analysis method for critical problems with logarithmic singularity

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Papers (25)：

Norisuke Ioku, Kyosuke Shibuya. Brezis-Van Schaftingen-Yung formula in Orlicz spaces. Journal of Mathematical Analysis and Applications. 2024. 538. 2. 128350-128350
Masato Hashizume, Norisuke Ioku. $W^{1,p}$ approximation of the Moser--Trudinger inequality. Proceedings of the American Mathematical Society. 2023
Yohei Fujishima, Norisuke Ioku. Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation. Nonlinear Analysis. 2023
Yohei Fujishima, Norisuke Ioku. Global in time solvability for a semilinear heat equation without the self-similar structure. Partial Differential Equations and Applications. 2022. 3. 2
Md Rabiul Haque, Norisuke Ioku, Takayoshi Ogawa, Ryuichi Sato. Well-posedness of the cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces. Differential and Integral Equations. 2021. 34. 3-4. 223-244

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MISC (4)：

猪奥倫左. 書評「ジム・ヘンリー著,美味しい数学-証明の味はパイの味-」. 数学通信. 2017. 22. 3. 82-85
IOKU Norisuke. Scale invariant structure of a critical Hardy inequality and its sharp remainder. 2016. 2006. 2006. 12-19
猪奥倫左. 非斉次二次元熱方程式に対する振動型評価 (幾何学的偏微分方程式における保存則と正則性特異性の研究). 数理解析研究所講究録. 2013. 1845. 153-165
猪奥倫左. Hardy type inequalities with scale invariance in limiting cases (Progress in Variational Problems : Variational Problems Interacting with Probability Theories). 数理解析研究所講究録. 2013. 1837. 132-141

Lectures and oral presentations (41)：

Attainability of the best Sobolev constant in a ball
(弘前非線形方程式研究会 2019)
Attainability of the best Sobolev constant in a ball
(応用解析研究会 2019)
凝スケール不変性を用いた半線型熱方程式の大域可解性について
(数理物理と微分方程式 2019)
Canceling effects in higher-order\\ Hardy-Sobolev inequalities
(実解析学シンポジウム 2019)
Attainability of the best Sobolev constant in a ball
(実解析学シンポジウム 2019)

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Professional career (1)：

Committee career (1)：

Awards (2)：

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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