Rchr
J-GLOBAL ID：202001016624043162
Update date: Sep. 17, 2024
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)：
- 2019 - 2023 量子流体力学に現れる確率偏微分方程式の研究
- 2018 - 2022 非線形消散型波動方程式の解の大域ダイナミクス
- 2017 - 2020 非線形分散型波動方程式の大域挙動の分類
- 2015 - 2017 非線形分散型波動方程式の解のダイナミクスに対する理論の構築
Papers (35)：
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Stephen Gustafson, Takahisa Inui. Scattering and blow-up for threshold even solutions to the nonlinear Schrödinger equation with repulsive delta potential at low frequencies. Journal of Differential Equations. 2024. 412. 758-796
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Stephen Gustafson, Takahisa Inui. Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies. Discrete and Continuous Dynamical Systems. 2024. 44. 10. 3135-3176
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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. Partial Differential Equations and Applications. 2024. 5. 1
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Takahisa Inui. Remark on blow-up of the threshold solutions to the nonlinear Schr\"{o}dinger equation with the repulsive Dirac delta potential. Harmonic analysis and nonlinear partial differential equations, RIMS K\^oky\^uroku Bessatsu. 2024. B95. 111-125
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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
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MISC (10)：
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Stephen Gustafson, Takahisa Inui. Two-solitons with logarithmic separation for 1D NLS with repulsive delta potential. preprint, arXiv:2310.08865. 2023
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Stephen Gustafson, Takahisa Inui, Ikkei Shimizu. Multi-solitons for the nonlinear Schrödinger equation with repulsive Dirac delta potential. preprint, arXiv:2310.08862. 2023
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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
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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
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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 (81)：
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Global dynamics for threshold even solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential
(Harmonic Analysis and Nonlinear Partial Differential Equations 2024)
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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偶関数解の大域ダイナミクスについて
(2024)
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Threshold even solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential
(One-day workshop on nonlinear dispersive equation 2023)
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Global dynamics for threshold solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential
(Okayama Workshop on Partial Differential Equations 2023)
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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)
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Professional career (1)：
- Doctor of Science (Kyoto University)
Work history (3)：
- 2020/04 - 現在 Osaka University, Graduate School of Science, Department of Mathematics Associate Professor
- 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
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
