INUI Takahisa

イヌイタカヒサ | INUI Takahisa

Affiliation and department：
Job title： Associate Professor

Research field (1)： Mathematical analysis

Research keywords (3)： Dispersive equations , Dissipative wave equations , Global dynamics

Research theme for competitive and other funds (4)：

Papers (31)：

Stephen Gustafson, Takahisa Inui. Blow-up or Grow-up for the threshold solutions to the nonlinear Schrödinger equation. Dynamics of Partial Differential Equations. 2023. 20. 3. 213-225
Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui. Traveling waves for a nonlinear Schrödinger system with quadratic interaction. Mathematische Annalen. 2022
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. Pure and Applied Analysis. 2022. 4. 2. 287-311
Takahisa Inui, Shuji Machihara. Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation. Journal of Hyperbolic Differential Equations. 2022. 19. 03. 407-437
Stephen Gustafson, Takahisa Inui. Threshold odd solutions to the nonlinear Schrödinger equation in one dimension. Partial Differential Equations and Applications. 2022. 3. 4

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MISC (10)：

Masaru Hamano, Masahiro Ikeda, Takahisa Inui, Ikkei Shimizu. Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph. preprint, arXiv:2212.06411. 2022
Stephen Gustafson, Takahisa Inui. Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies. 2022
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential. preprint, arXiv:2101.09423. 2021
Takahisa Inui. 一般化された微分型非線形シュレディンガー方程式の大域解について. 第8回白浜研究集会報告集. 2016
Takahisa Inui. Diracのデルタ関数をポテンシャルに持つ非線形Schrödinger方程式の解の分類. 第7回白浜研究集会報告集. 2015

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Lectures and oral presentations (79)：

Threshold even solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential
(One-day workshop on nonlinear dispersive equation 2023)
Global dynamics for threshold solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential
(Okayama Workshop on Partial Differential Equations 2023)
デルタポテンシャル付き非線形シュレディンガー方程式の閾値における大域ダイナミクス
(189th Kagurazaka Seminar 2023)
デルタポテンシャル付き非線形シュレディンガー方程式の対称解の閾値における大域ダイナミクス
(Bibunhouteishiki seminar 2023)
Global dynamics for threshold even solutions to the nonlinear Schr\"{o}dinger equation with repulsive delta potential
(New trends in nonlinear partial differential equations 2023)

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Professional career (1)：

Work history (6)：

2020/04 - 現在 Osaka University, Graduate School of Science, Department of Mathematics Associate Professor
2021/09 - 2023/08 The University of British Columbia Department of Mathematics Visiting Professor (Japan Society for the Promotion of Science (JSPS), Oversea Research Fellowship)
2018/04 - 2021/07 RIKEN, RIKEN Center for Advanced Intelligence Project (AIP), Visiting Researcher
2018/04 - 2020/03 Osaka University, Graduate School of Science, Department of Mathematics Assistant Professor
2017/04 - 2018/03 Tokyo University of Science, Faculty of Science, Division 1 Mathematics Japan Society for the Promotion of Science (JSPS), Postdoctoral Fellow

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Committee career (1)：

2020/04 - 現在 Division of Functional Equations, The Mathematical Society of Japan, Information Committee

Association Membership(s) (2)：

International Society for Analysis, its Applications and Computation (ISAAC) , The Mathematical Society of Japan

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