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Remarks on an inverse boundary value problem

Part of the Lecture Notes in Mathematics book series (LNM,volume 1256)

Keywords

  • General Boundary Condition
  • Weighted Sobolev Space
  • Singular Perturbation Problem
  • Left Inverse
  • Full Symbol

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References

  1. Calderón, A. P., “On an inverse boundary value problem,” Seminar on Numerical Analysis and its Applications to Continuum Physics, Soc. Brasileira de Matemática, Río de Janeiro, 1980, 65–73.

    Google Scholar 

  2. Claerbout, Jon I., Imaging the Earth's Interior. Blackwell Scientific Publications, 1985.

    Google Scholar 

  3. Henderson, R. and Webster, J., “An impedance camera for spatially specific measurements of the thorax,” IEEE Trans. Bio. Engl., Dec. 1977.

    Google Scholar 

  4. Kohn, R., and Vogelius, M., “Determining conductivity by boundary measurements,” Comm. Pure Appl. Math. 37(1984), 289–298.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. —, Comm. Pure Appl. Math. 38(1985), 643–667.

    CrossRef  MathSciNet  Google Scholar 

  6. Nirenberg, L., and Walker, H., “Null spaces of elliptic partial differential operators in Rn,” J. Math. Anal. Appl. 42(1973), 271–301.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Slichter, L. B., Physics 4, Sept. 1933.

    Google Scholar 

  8. Sylvester, J., and Uhlmann, G., “A uniqueness theorem for an inverse boundary value problem in electrical prospection,” Comm. Pure Appl. Math. 39(1986), 91–112.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. —, “A global uniqueness theorem for an inverse boundary value problem,” to appear in Annals of Math.

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© 1987 Springer-Verlag

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Sylvester, J., Uhlmann, G. (1987). Remarks on an inverse boundary value problem. In: Cordes, H.O., Gramsch, B., Widom, H. (eds) Pseudo-Differential Operators. Lecture Notes in Mathematics, vol 1256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077754

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  • DOI: https://doi.org/10.1007/BFb0077754

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17856-9

  • Online ISBN: 978-3-540-47886-7

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