Rchr
J-GLOBAL ID：202101005021803001
Update date: Feb. 12, 2025
Taniguchi Koichi
タニグチ コウイチ | Taniguchi Koichi
Affiliation and department：
Job title：
Associate Professor
Research field (2)：
Basic analysis
, Mathematical analysis
Research keywords (7)：
Besov Space
, Spectral Multiplier Operator
, Heat Equation
, Partial Differential Equation
, Theory of Function Space
, Composition operator
, Machine learning
Research theme for competitive and other funds (4)：
- 2024 - 2028 Deepening the analysis of deep learning through functional space theory
- 2024 - 2025 Data-driven analysis for dynamical systems using Koopman operators in Besov spaces
- 2021 - 2022 空間に関して非均一な非線形性をもつ拡散方程式の力学系と関数解析を用いた研究
- 2019 - 2022 スペクトル掛け算作用素の有界性とその関数空間論への応用
Papers (15)：
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Takashi Furuya, Koichi Taniguchi, Satoshi Okuda. Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations. to appear in Proceedings of the International Conference on Learning Representations (ICLR 2025). 2025
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Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi, Yuta Wakasugi. Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain. Calculus of Variations and Partial Differential Equations. 2024. 63. 9
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Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi, Slim Tayachi. Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations. Mathematische Annalen. 2024
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Masahiro Ikeda, Koichi Taniguchi, Yuta Wakasugi. Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces. Evolution Equations and Control Theory. 2024
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Masahiro Ikeda, Isao Ishikawa, Koichi Taniguchi. Boundedness of composition operators on higher order Besov spaces in one dimension. Mathematische Annalen. 2023. 388. 4. 4487-4510
ｍore...
MISC (2)：
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Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi. Well-posedness for the energy critical Hardy-Sobolev parabolic equation. RIMS Kôkyûroku. 2021. 2181. 6-15
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Koichi Taniguchi. Boundedness of functions of Schrödinger operators on open sets. RIMS Kôkyûroku. 2017. 2045. 137-150
Lectures and oral presentations (94)：
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Kuramoto Reservoir Computing and Edge of Bifurcation
(Differential Equations for Data Science (DEDS2025) 2025)
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Necessary and sufficient conditions for boundedness of composition operators on Besov spaces
(International Conference on Generalized Functions (GF2024) 2024)
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On characterization of boundedness of composition operators on Besov spaces
(The 11th East Asian Conference in Harmonic Analysis and Applications 2024)
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Besov 空間上の合成作用素の有界性の特徴付け
(諏訪偏微分方程式研究集会 2024)
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Besov 空間上の Koopman 作用素について
(データ解析の数理ワークショップ:力学系・トポロジー・機械学習の協奏 2024)
ｍore...
Education (3)：
- 2015 - 2019 Chuo University Faculty of Science and Engineering Doctor Course, Department of Mathematics
- 2013 - 2015 Chuo University Faculty of Science and Engineering Master Course, Department of Mathematics
- 2009 - 2013 Chuo University Faculty of Science and Engineering Department of Mathematics
Professional career (1)：
Work history (3)：
- 2024/04 - 現在 Shizuoka University Department of Mathematical and Systems Engineering, Faculty of Engineering Associate Professor
- 2021/04 - 2024/03 Tohoku University Advanced Institute for Materials Research Assistant Professor
- 2019/04 - 2021/03 Nagoya University Graduate School of Mathematics JSPS Postdoctoral Research Fellow (PD)
Awards (1)：
- 2023/09 - The Mathematical Society of Japan MSJ Takebe Katahiro Prize
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
