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J-GLOBAL ID：202101005021803001   Update date: Sep. 02, 2024

Taniguchi Koichi

タニグチ コウイチ | Taniguchi Koichi
Affiliation and department：
Shizuoka University Department of Mathematical and Systems Engineering, Faculty of Engineering

About Shizuoka University Department of Mathematical and Systems Engineering, Faculty of Engineering


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 (13)：
  • Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi, Slim Tayachi. Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations. Mathematische Annalen. 2024
  • 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
  • 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
  • Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi. Local Well-Posedness for the Scale-Critical Semilinear Heat Equation with a Weighted Gradient Term. Trends in Mathematics. 2022. 63-75
  • Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi. Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces. Nonlinear Analysis. 2022. 222. 112931-112931
ｍore...
MISC (2)：
  • Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi. Well-posedness for the energy critical Hardy-Sobolev parabolic equation. RIMS Kôkyûroku. 2021. 2181. 6-15
  • Koichi Taniguchi. Boundedness of functions of Schrödinger operators on open sets. RIMS Kôkyûroku. 2017. 2045. 137-150
Lectures and oral presentations  (90)：
  • 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)
  • Reservoir computing with the Kuramoto model and its approximation ability
    (Nagoya Differential Equations Seminar 2024)
  • Boundedness of composition operators on Besov spaces
    (第 824 回 応用解析研究会 2024)
  • 合成作用素の有界性と関数空間
    (富山数理ワークショップ2024 2024)
  • Besov空間上の合成作用素の有界性の特徴付け
    (第74回南大阪応用数学セミナー 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)：
  • 博士(理学) (Chuo University)
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
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