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

  • Yuki Daido
  • Hyeonbae Kang
  • Gen Nakamura


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.


Weak Solution Indicator Function Unique Solvability Boundary Measurement Reconstruction Scheme 
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Copyright information

© Springer 2008

Authors and Affiliations

  • Yuki Daido
    • 1
  • Hyeonbae Kang
    • 2
  • Gen Nakamura
    • 3
  1. 1.Department of MathematicsHokkaido UniversitySapporoJapan
  2. 2.School of Mathematical SciencesSeoul National UniversitySeoulKorea
  3. 3.Department of MathematicsHokkaido UniversitySapporoJapan

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