Analysis of solutions to partial differential equations with piecewise smooth coefficients, and its application to inverse problems
| Project/Area Number |
23740110
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | University of Hyogo |
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Principal Investigator |
NAGAYASU Sei 兵庫県立大学, 物質理学研究科, 講師 (90455684)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 偏微分方程式 / 逆問題 / 安定性評価 |
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| Research Abstract |
Now we consider partial differential equations (PDEs) with some parameter. The parameter gives some influences for the solutions to PDEs. One of the aim of this research is to analyse such influences. In this study period, I analysed stability estimates for inverse problems of PDEs with frequency. In particular, we treated the wave equation and the Schroedinger equation. In consequence, I obtained some stability estimates. These stability estimates suggest us that stability becomes better when influence becomes large. However, unfortunately right now we do not know this estimate is optimal or not. Hence I would like to continue to analyse this problem.
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Report
(4 results)
Research Products
(20 results)
