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2023 Fiscal Year Research-status Report

グラフ上微分方程式解析

Research Project

Project/Area Number 23K03128
Research InstitutionShinshu University

Principal Investigator

Trushin Igor  信州大学, 学術研究院理学系, 教授 (80600337)

Co-Investigator(Kenkyū-buntansha) 望月 清  東京都立大学, 理学研究科, 客員教授 (80026773)
Project Period (FY) 2023-04-01 – 2026-03-31
KeywordsInverse problem / Limiting amplitude / Quantum graph
Outline of Annual Research Achievements

We investigated the multiplicity of eigenvalues of a sun-type quantum graphs.
Also we consider the dissipative wave propagation problem on an infinite star graph. Results obtained are summarized soon and will be submitted to publish.
Also we investigated an inverse problem for elliptic operator in 3 dimensional domain via single measurement

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

Research is generally going according to schedule.

Strategy for Future Research Activity

We hope to extend our results to the problem on more general infinite graphs. For this purpose we need to develop more precise and delicate estimates for spectral and scattering problems on these graphs.

Causes of Carryover

Incurring amount will be used according to originally proposed plans in the line with current situation.

  • Research Products

    (4 results)

All 2024 2023

All Presentation (4 results) (of which Invited: 4 results)

  • [Presentation] 無限グラフ上の波動方程式に対する極限振幅の原理2024

    • Author(s)
      望月清
    • Organizer
      松山キャンプin山口、山口大学
    • Invited
  • [Presentation] 無限グラフ上の波動伝播問題の解の挙動について2024

    • Author(s)
      望月清
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Invited
  • [Presentation] 星状グラフ上の波動伝播問題の極限振幅原理2023

    • Author(s)
      望月清
    • Organizer
      作用素論夏のシンポジウム、愛媛大学
    • Invited
  • [Presentation] グラフ上散乱理論について2023

    • Author(s)
      トルシン イゴール
    • Organizer
      解析学研究セミナー、都立産業技術高等専門学校
    • Invited

URL: 

Published: 2024-12-25  

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