Electrical impedance tomography in nonlinear media

Ziqi Sun; Gunther Uhlmann

Journées équations aux dérivées partielles (1996)

  • Volume: 1996, page 1-11
  • ISSN: 0752-0360

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Sun, Ziqi, and Uhlmann, Gunther. "Electrical impedance tomography in nonlinear media." Journées équations aux dérivées partielles 1996 (1996): 1-11. <http://eudml.org/doc/93321>.

@article{Sun1996,
author = {Sun, Ziqi, Uhlmann, Gunther},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-11},
publisher = {Ecole polytechnique},
title = {Electrical impedance tomography in nonlinear media},
url = {http://eudml.org/doc/93321},
volume = {1996},
year = {1996},
}

TY - JOUR
AU - Sun, Ziqi
AU - Uhlmann, Gunther
TI - Electrical impedance tomography in nonlinear media
JO - Journées équations aux dérivées partielles
PY - 1996
PB - Ecole polytechnique
VL - 1996
SP - 1
EP - 11
LA - eng
UR - http://eudml.org/doc/93321
ER -

References

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  3. [G-T] Gilbarg, D. and Trudinger, N., Elliptic partial differential equations of second order, Springer-Verlag, 1982. 
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  5. [L] Lax, P., A Stability theorem for solutions of abstract differential equations, and its application to the study of local behavior of solutions of elliptic equations, Comm. Pure Appl. Math., 9 (1956), 747-766. Zbl0072.33004MR19,281a
  6. [L-U] Lee, J. and Uhlmann, G., Determining anisotropic real-analytic conductivities by boundary measurements, Comm. Pure Appl. Math., 42, (1989), 1097-1112. Zbl0702.35036MR91a:35166
  7. [N] Nachman, A., Global uniqueness for a two-dimensional inverse boundary value problem, to appear Annals of Math. Zbl0857.35135
  8. [No] Novikov, R.G., ∂-method with nonzero background potential. Application to inverse scattering for the two-dimensional acoustic equation, preprint. Zbl0855.35130
  9. [S] Sylvester, J., An anisotropic inverse boundary value problem, Comm. Pure Appl. Math., 43, (1990), 201-232. Zbl0709.35102MR90m:35202
  10. [S-U, I] Sylvester, J. and Uhlmann, G., A global uniqueness theorem for an inverse boundary value problem, Annals of Math., 125, (1987), 153-169. Zbl0625.35078MR88b:35205
  11. [S-U, II] 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. Zbl0611.35088MR87j:35377
  12. [S-U, III] Sylvester, J. and Uhlmann, G., Inverse problems in anisotropic media, Contemp. Math., 122, (1991), 105-117. Zbl0748.35057MR92k:35289
  13. [Su] Sun, Z., On a quasilinear inverse boundary value problem, to appear in Math. Z. Zbl0843.35137
  14. [Su-U, I] Sun, Z. and Uhlmann, G., Inverse problems in quasilinear anisotro pic media, preprint. Zbl0886.35176
  15. [Su-U, II] Sun, Z. and Uhlmann, G., Generic uniqueness for an inverse boundary value problem, Duke Math. J., 62, (1991), 131-155. Zbl0728.35132MR92b:35172
  16. [Su-U, III] Sun, Z. and Uhlmann, G., Recovery of singularities for formally determined inverse problems, Comm. Math. Phys. 153, (1993), 431-445. Zbl0795.35142MR94f:35146
  17. [U] Uhlmann, G., Inverse boundary value problems, Astérique, 207, (1992), 153-211. Zbl0787.35123MR94e:35146

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