| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
In the boundary value inverse problem of a heat equation, the information on cavities or inclusions are deduced from the analysis of the asymptotic behavior of the function called an "indicator function." The aim of this research is to obtain this information via analysis of the asymptotic behavior of the resolvents. First, a domain including this cave is given only from one observational data by showing detailed estimation of an integral kernel for a strictly convex cave. This result is extended to the case of several strictly convex cavities. This problem setup is natural extension of the inverse problem for one-dimensional case. Furthermore, through this research, it became clear that there is a close relation to the asymptotic behavior of indicator functions and resolvents.
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