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Research Article

Identification of a constant coefficient in an elliptic equation

Pages 1121-1128 | Received 26 Feb 2008, Accepted 06 May 2008, Published online: 23 Dec 2008

References

  • Alessandrini , G . 1988 . Stable determination of conductivity by boundary measurements . Appl. Anal. , 27 : 153 – 172 .
  • Alessandrini , G . 1990 . Singular solutions of elliptic equations and the determination of conductivity by boundary measurements . J. Diff. Eq. , 84 : 252 – 273 .
  • Alessandrini , G and Cabib , E . 2007 . Determining the anisotropic traction state in a membrane by boundary measurements . Inv. Prob. Imag. , 1 : 437 – 442 .
  • Bruckner , G , Handrock-Meyer , S and Langmach , H . 1998 . An inverse problem from 2D ground-water modelling . Inv. prob. , 14 : 835 – 851 .
  • Calderon , AP . 1980 . “ On an inverse boundary value problem in Seminar on Numerical Analysis and its Applications to Continuum Physics ” . In Rio de Janeiro, Brasil, 1980, Soc. Brasil. Mat Edited by: Janeiro , Rio de , Meyer , WH and Raupp , MA . 65 – 73 .
  • Friedman , A and Isakov , V . 1989 . On the uniqueness in the inverse conductivity problem with one measurement . Indiana Univ. Math. J. , 38 : 553 – 580 .
  • Isakov , V and Sever , A . 1996 . Numerical implmentation of an integral equation method for the inverse conductivity problem . Inv. Prob. , 12 : 939 – 951 .
  • Klibanov , MV . 1992 . Inverse problems and Carleman estimates . Inverse Problems , 8 : 575 – 596 .
  • Klibanov , MV and Timonov , A . 2004 . Carleman Estimates for Coefficient Inverse Problems and Numerical Applications , Utrecht, , the Netherlands : VSP .
  • Nakamura , G and Tanuma , K . 1996 . A nonuniqueness theorem for inverse boundary value problem in elasticity . SIAM J. Appl. Math. , 56 : 602 – 610 .
  • Nakamura , G and Uhlmann , G . 1994 . Global uniqueness for inverse boundary value problem arising in elasticity . Invent. Math. , 118 : 457 – 474 .
  • Vainikko , G . 1993 . Identification of filtration coefficient . Lectures Notes Phys. , 422 : 251 – 256 .
  • Vainikko , G . 1996 . “ Inverse problem of ground water filtration: identifiability, discretization and regularization ” . In in Inverse Problems in Diffusion Processes (Proceedings of the GAMM-SIAM Symposium) , 90 – 107 . Austria, SIAM, Philadelphia : Lake St. Wolfgang . 1994
  • Ta-Tsien , Li and White , LW . 1983 . Total flux (nonlocal) boundary value problems for pseudoparabolic equation . Appl. Anal. , 16 : 17 – 31 .
  • White , LW . 1983 . Limit behavior of sobolev total flux boundary control problems . Rocky Mountain J. Math. , 13 : 383 – 396 .

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