一次元熱方程式における熱源決定逆問題

概要

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First of all, we think the uniform stick that the heat source exists in inside. The heat equation with the heat source is considered in this paper. As assumption, the special conditions are imposed to the heat source. We consider the inverse problem that decides the heat source from the observational data of temperature of the uniform stick at one point. Then, we find the unknown function of the heat source from the observational data of the stick at one point excluded a certain points of limited piece. In the theory of Yamamoto-kim (2008), though the uniqueness of determination of the heat source has been proven, the reconstruction of the heat source is not considered. The reconstruction method of the heat source is considered in this paper. Result, we find the heat source by imposing the special conditions to the heat source.