| Project/Area Number |
23K03128
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 12010:Basic analysis-related
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| Research Institution | Shinshu University |
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Principal Investigator |
Trushin Igor 信州大学, 学術研究院理学系, 教授 (80600337)
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| Co-Investigator(Kenkyū-buntansha) |
望月 清 東京都立大学, 理学研究科, 客員教授 (80026773)
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| Project Period (FY) |
2023-04-01 – 2026-03-31
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| Project Status |
Granted (Fiscal Year 2023)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2025: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2024: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2023: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | Inverse problem / Limiting amplitude / Quantum graph / 逆問題 |
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| Outline of Research at the Start |
I am interested in inverse spectral and scattering problems on metric graphs: it is supposed that spectral or
scattering data are given and we identify properties of differential operators on metric graphs.
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| 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
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| 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.
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| 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.
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