| Project/Area Number |
25400153
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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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| Research Field |
Mathematical analysis
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| Research Institution | Hokkaido University |
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Principal Investigator |
Jimbo Shuichi 北海道大学, 理学(系)研究科(研究院), 教授 (80201565)
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| Co-Investigator(Kenkyū-buntansha) |
HONDA NAOFUMI 北海道大学, 大学院理学研究院, 教授 (00238817)
TONEGAWA YOSHIHIRO 東京工業大学, 理工学研究科, 教授 (80296748)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 特異的領域変形 / 楕円型作用素 / 固有値問題 / ラプラス作用素 / ストークス作用素 / ラメ作用素 / スペクトル / マックスウェルの作用素 / 固有振動 / 摂動公式 / 領域変形 |
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| Outline of Final Research Achievements |
I studied spectra of elliptic operators for regularly or singularly deformed domain (Lame operator, Stokes operator, Maxwell operator). (i) I studied polynomial solutions, rational type solutions with their structures of homogeneous Stokes and Elastic equations (with H.Ito, N.Honda), (ii) I obtained spectral Hadamard variational formula of Stokes operator, Maxwell operator for regularly perturbed domain for Dirichlet and Slip type boundary condition (with E. Ushikoshi). I obtained an elaborate behaviors of eigenvalues for Maxwell operator, (iii) I studied elaborate behaviors of eigenvalues of Lame or Maxwell operators in a domain with small hole, (iv) I obtained elaborate behaviors of eigenfrequencies of elastic body composed of several thin rod.
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