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

In: Algebraic Analysis of Differential Equations

Author

Listed:
  • Yuki Daido

    (Hokkaido University, Department of Mathematics)

  • Hyeonbae Kang

    (Seoul National University, School of Mathematical Sciences)

  • Gen Nakamura

    (Hokkaido University, Department of Mathematics)

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.

Suggested Citation

  • Yuki Daido & Hyeonbae Kang & Gen Nakamura, 2008. "Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation," Springer Books, in: Takashi Aoki & Hideyuki Majima & Yoshitsugu Takei & Nobuyuki Tose (ed.), Algebraic Analysis of Differential Equations, pages 89-99, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-73240-2_10
    DOI: 10.1007/978-4-431-73240-2_10
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