대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제16권3호
  • /
  • Pages.415-425
  • /
  • 2001
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

DIRECT DETERMINATION OF THE DERIVATIVES OF CONDUCTIVITY AT THE BOUNDARY FROM THE LOCALIZED DIRICHLET TO NEUMANN MAP

  • Gen-Nakamura (Department of Mathematics, Faculty of Science, Hokaido University) ;
  • Kazumi-Tanuma (Division of Mathematical Sciences, Osaka Kyoiku University)
  • 발행 : 2001.07.01
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초록

We consider the problem of determining conductivity of the medium from the measurements of the electric potential on the boundary and the corresponding current flux across the boundary. We give a formula for reconstructing the conductivity and its normal derivative at the point of the boundary simultaneously from the localized Diichlet to Neumann map around that point.

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참고문헌

  1. Inverse Problems v.7 Identification of Lamecoefficients from boundary observations M. Akamatsu;G. Nakamura;S. Steinberg
  2. Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwaise result R.M. Brown
  3. Commun, in Partial Differential Equations v.23 Reconstruction of the shape of the inclusion by boundary measurements M. Ikehata
  4. Ann. of Math. v.142 Global uniqueness for a two dimensional inverse boundary value problem A.I. Nachman
  5. Inverse Problems v.17 Local determination of conductivity at the boundary from Dirichlet to Neumann map G. Nakamura;K. Tanuma
  6. SIAM J. Appl. Math. v.59 Layer stripping for a transversely isotropic elastic medium G. Nakamura;K. Tanuma;G. Uhlmann
  7. SIAM J. Math. Anal. v.26 Inverse problems at the boundary for an elastic medium G. Nakamura;G. Uhlmann
  8. Inverse Problems v.13 Boundary identifiability of residual stress via the Dirichlet to Neumann map R.I. Robertson
  9. Comm. Pure Appl. Math. v.61 Inverse boundary value problem at the boundary-continuous dependence J. Sylvester;G. Uhlmann