HOME教員情報山下 龍生

教員情報

山下 龍生

山下 龍生講師

やました　りゅうせい

博士（理学）

授業担当科目
解析学、微分積分学、基礎数学
所属学会
日本数学会
専門分野
逆問題、楕円型偏微分方程式
校務分掌
寮務主事補、野球部顧問

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研究テーマ

最近は楕円型偏微分方程式における逆問題を研究しています。
このテーマは医療のCTスキャンや建物の耐震等の非破壊検査技術へ応用ができます。

技術相談分野

非破壊検査、解析学

教育研究実績

投稿論文

  • K. Kurata and R. Yamashita, Reconstruction of the defect by the enclosure method for inverse problems of the magnetic Schro ̈dinger operator, Tokyo J. Math., 45, (2022), pp 547-577.
  • R. Yamashita, A remark on the local uniqueness by the monotonicity based method for the magnetic Schro ̈dinger equation, Commun. Pure Appl. Anal., 22 (2023), pp. 2547-2558.
  • R. Yamashita, A remark on the reconstruction formula of the support function for the magnetic Schro ̈dinger operator, J. Math. Anal. Appl., 528 (2023), doi.org/10.1016/j.jmaa.2023.127598.

研究発表

  • Inverse Problem Theory for Innovation of Detection Methods, Minisymposium No.16
    "A remark on the reconstruction formula of the support function for the magnetic Schrödinger operator",
    11th International Conference Inverse Problems: Modeling and Simulation, May 26 - June 01, 2024, Malta.
  • "Inverse boundary value problems for the magnetic Schrödinger operator by the enclosure method",
    Finland-Japan Workshop in Industrial and Applied Mathematics, August 26-30 2024, Helsinki University, Finland.
  • "Inverse boundary value problem for the magnetic Schrödinger operator by the enclosure method",
    Workshop for young scholars Control and inverse problems on waves, oscillations and flows
    - Mathematical analysis and computational methods -, September 24-25 2024 Kyoto University.
  • "Reconstruction of the defect by the enclosure method for inverse problems of the magnetic Schrödinger operator",
    Inverse Problem Seminar from Theory to Applications -Finland-Japan Seminar for Inverse Problem-, January 27-28 2025 Josai University.
  • Monotonicity and Convexity in Inverse Coefficient Problems, Minisymposia No.11
    "A remark on the local uniqueness by the monotonicity based method for the magnetic Schrödinger equation"
    Conference on Mathematics of Wave Phenomena, February 24-28, 2025, Karlsruhe Institute of Technology Germany.

コメント

数学は一から着実に勉強することが大事なことだと思います。数学で分からないことがあったら、気軽に研究室に来てもらえたら嬉しいです。