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Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field

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References

  • [K-V] Kohn, R. and Vogelius, M., Determining conductivity by boundary measurements, Comm. Pure Appl. Math.38 (1985), 643–667

    Google Scholar 

  • [H-N] Henkin, G.M. and Novikov, R. G., 388-1 in the multidimensional inverse scattering problem, Uspekhi Math. Nauk.42 (1987), 93–152 (translated in Russian Math. Surveys42 (1987), 109–180)

    Google Scholar 

  • [L-U] Lee, J. and Uhlmann, G., Determining anisotropic real-analytic conductivities by boundary measurements. Comm. Pure Appl. Math.42 (1989), 1097–1112

    Google Scholar 

  • [M] Mizohata, S., The theory of partial differential equations, Cambridge University Press, (1973)

  • [N-U] Nakamura, G. and Uhlmann, G., Global uniqueness for an inverse boundary value problem arising in elasticity. Invent. Math.118 (1994), 457–474

    Google Scholar 

  • [N] Novikov, R., Multidimensional inverse spectral problems for the equation −Δ+(V(x)−Eu(x))Ψ=0, Funct. Anal. Appl.22 (1988), 263–272

    Google Scholar 

  • [S] Sylvester, J., A convergent layer stripping algorithm for a radially symmetric impedance tomography problem, Comm. P.D.E.17 (1992), 1955–1994

    Google Scholar 

  • [S-U] Sylvester, J. and Uhlmann, G., A global uniqueness theorem for an inverse boundary value problem, Ann. Math.125 (1987), 153–169

    Google Scholar 

  • [Sh] Shubin, M. A., Pseudodifferential operators and spectral theory, Springer Series in Soviet Mathematics, Springer-Verlag (1987)

  • [So-I-C] Somersalo, E., Isaacson, D. and Cheney M., Layer stripping: a direct numerical method for impedance imaging, Inverse problems7 (1991), 899–926

    Google Scholar 

  • [Su] Sun, Z., An inverse boundary value problem for Schrödinger operator with vector potentials, Trans. of AMS,338(2), (1993), 953–969

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Science University of Tokyo, Shinjuku-ku, 162, Tokyo, Japan

    Gen Nakamura

  2. Department of Mathematics and Statistics, Wichita State University, 67260, Wichita, KS, USA

    Ziqi Sun

  3. Department of Mathematics, University of Washington, 98195, Seattle, WA, USA

    Gunther Uhlmann

Authors
  1. Gen Nakamura
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  2. Ziqi Sun
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  3. Gunther Uhlmann
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Additional information

Partially supported by NSF Grant DMS-9123742

Partially supported by NSF Grant DMS-9100178 and ONR grant N00014-93-1-0295

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Nakamura, G., Sun, Z. & Uhlmann, G. Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field. Math. Ann. 303, 377–388 (1995). https://doi.org/10.1007/BF01460996

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  • DOI: https://doi.org/10.1007/BF01460996

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