Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation

Yuki Daido (), Hyeonbae Kang () and Gen Nakamura ()
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Yuki Daido: Hokkaido University, Department of Mathematics
Hyeonbae Kang: Seoul National University, School of Mathematical Sciences
Gen Nakamura: Hokkaido University, Department of Mathematics

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 89-99 from Springer

Abstract: Abstract An inverse problem for identifying an inclusion inside an isotropic, homogeneous heat conductive medium is considered. The shape of inclusion can change time dependently. 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 a reconstruction scheme for identifying the inclusion from the Neumann to Dirichlet map.

Keywords: Weak Solution; Indicator Function; Unique Solvability; Boundary Measurement; Reconstruction Scheme (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_10

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DOI: 10.1007/978-4-431-73240-2_10

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