Dept. Math, Hokkaido Univ. EPrints Server

Reconstruction of Inclusions for the Inverse Boundary Value Problem of Non-stationary Heat Equation

Preprint Series # 749
Daido, Yuki and Kang, Hyeonbae and Nakamura, Gen Reconstruction of Inclusions for the Inverse Boundary Value Problem of Non-stationary Heat Equation. (2005);

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Abstract

An inverse problem for identifying an inclusion inside an isotropic, homogeneous heat conductive medium is considered. The shape of inclusion can change depending on time. For the one space dimensional case, we developed an analogue of the probe method known for inverse boundary value problems for elliptic equations and gave the reconstruction procedure for identifying the inclusion from the Neumann to Dirichlet map.

Item Type:Preprint
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1208