| Project/Area Number |
21540160
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Akita University |
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Principal Investigator |
KAWAKAMI Hajime 秋田大学, 大学院・工学資源学研究科, 准教授 (20240781)
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| Research Collaborator |
TSUCHIYA Masaaki 金沢大学, 名誉教授
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 逆問題 / 形状推定 / 放物型方程式 / 混合型境界条件 / Feynman-Kac型公式 / 弱解 / 関数方程式 |
|---|
| Research Abstract |
When the shape of a portion of the face of an object or the shape of several internal cavities of an object is unknown, the shape may be estimated by using thermal data from measurements on an accessible portion of the face. In this research, we studied such an inverse problem for the shape which may vary with time. Then we focused on the unique determination problem: whether the unknown shape can be uniquely determined from the thermal data or not. Solving the unique determination problem is firstly requested for the inverse problem. We demonstrated some sufficient conditions for the unique determination.
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