On the limiting amplitude principle for the exterior problem of the wave equation
| Project/Area Number |
22654017
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Tohoku University |
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Principal Investigator |
KUBO Hideo 東北大学, 大学院・情報科学研究科, 教授 (50283346)
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| Project Period (FY) |
2010 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥1,380,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥600,000 (Direct Cost: ¥600,000)
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| Keywords | 波動方程式 / 極限振幅の原理 / 外部問題 |
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| Research Abstract |
Large time behavior of solutions to the exterior problem whose boundary value is oscillating in time is considered. It can be expressed as a product of a time periodic function with the same period as the boundary value and the resonance of the correspo nding Helmholtz equation. For the radially symmetric case, the existence of the resonance is actually proved. In conclusion, the limiting amplitude principle for the exterior problem of the wave equation with a periodic boundary value was formulated.
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Report
(3 results)
Research Products
(15 results)
