no. 5
On determining a riemannian manifold from the Dirichlet-to-Neumann map
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 34 (2001) no. 5, pp. 771-787 
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     title = {On determining a riemannian manifold from the {Dirichlet-to-Neumann} map},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {771--787},
     year = {2001},
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Lassas, Matti; Uhlmann, Gunther. On determining a riemannian manifold from the Dirichlet-to-Neumann map. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 34 (2001) no. 5, pp. 771-787. doi: 10.1016/s0012-9593(01)01076-x

[1] Brown R., Global uniqueness in the impedance imaging problem for less regular conductivities, SIAM J. Math. Anal. 27 (1996) 1049-1056. | Zbl | MR

[2] Brown R., Uhlmann G., Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions, Comm. Partial Differential Equations 22 (1997) 1009-1027. | Zbl | MR

[3] Calderón A.P., On an inverse boundary value problem, in: Seminar on Numerical Analysis and its Applications to Continuum Physics, Soc. Brasileira de Matemática, Río de Janeiro, 1980, pp. 65-73. | MR

[4] Hörmander L., The Analysis of Linear Partial Differential Operators III, Springer-Verlag, 1985. | Zbl | MR

[5] Isakov V., Inverse Problems for Partial Differential Equations, Springer-Verlag, 1998, 284 pp. | Zbl | MR

[6] Kohn R., Vogelius M., Determining conductivity by boundary measurements II. Interior results, Comm. Pure Appl. Math. 38 (1985) 643-667. | Zbl | MR

[7] Lee J., Uhlmann G., Determining anisotropic real-analytic conductivities by boundary measurements, Comm. Pure Appl. Math. 42 (1989) 1097-1112. | Zbl | MR

[8] Nachman A., A global uniqueness for a two-dimensional inverse problem, Ann. Math. 142 (2) (1996) 71-96. | Zbl | MR

[9] Petersen P., Riemannian Geometry, Springer-Verlag, 1998. | Zbl | MR

[10] Sylvester J., An anisotropic inverse boundary value problem, Comm. Pure Appl. Math. 38 (1990) 201-232. | Zbl | MR

[11] Sylvester J., Uhlmann G., A uniqueness theorem for an inverse boundary problem, Ann. Math. 125 (2) (1987) 153-169. | Zbl | MR

[12] Taylor M., Partial Differential Equations II, Springer-Verlag, 1996. | Zbl

[13] Taylor M., Partial Differential Equations III, Springer-Verlag, 1996. | Zbl

[14] Tennison B., Sheaf Theory, Cambridge University Press, 1975, 164 pp. | Zbl | MR

[15] Uhlmann G., Developments in inverse problems since Calderón's foundational paper, in: Harmonic Analysis and Partial Differential Equations, University of Chicago Press, 1999, pp. 245-295, [Essays in honor of Alberto P. Calderón, University of Chicago Press, edited by Christ M., Kenig C. and Sadosky C.]. | Zbl | MR

[16] Vekua I., Generalized Analytic Functions, Pergamon Press, 1962. | Zbl | MR

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