@article{ASENS_2001_4_34_5_771_0, author = {Lassas, Matti and Uhlmann, Gunther}, title = {On determining a riemannian manifold from the {Dirichlet-to-Neumann} map}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {771--787}, publisher = {Elsevier}, volume = {Ser. 4, 34}, number = {5}, year = {2001}, doi = {10.1016/s0012-9593(01)01076-x}, mrnumber = {1862026}, zbl = {0992.35120}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(01)01076-x/} }
TY - JOUR AU - Lassas, Matti AU - Uhlmann, Gunther TI - On determining a riemannian manifold from the Dirichlet-to-Neumann map JO - Annales scientifiques de l'École Normale Supérieure PY - 2001 SP - 771 EP - 787 VL - 34 IS - 5 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(01)01076-x/ DO - 10.1016/s0012-9593(01)01076-x LA - en ID - ASENS_2001_4_34_5_771_0 ER -
%0 Journal Article %A Lassas, Matti %A Uhlmann, Gunther %T On determining a riemannian manifold from the Dirichlet-to-Neumann map %J Annales scientifiques de l'École Normale Supérieure %D 2001 %P 771-787 %V 34 %N 5 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(01)01076-x/ %R 10.1016/s0012-9593(01)01076-x %G en %F ASENS_2001_4_34_5_771_0
Lassas, Matti; Uhlmann, Gunther. On determining a riemannian manifold from the Dirichlet-to-Neumann map. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 34 (2001) no. 5, pp. 771-787. doi : 10.1016/s0012-9593(01)01076-x. http://archive.numdam.org/articles/10.1016/s0012-9593(01)01076-x/
[1] Global uniqueness in the impedance imaging problem for less regular conductivities, SIAM J. Math. Anal. 27 (1996) 1049-1056. | MR | Zbl
,[2] Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions, Comm. Partial Differential Equations 22 (1997) 1009-1027. | MR | Zbl
, ,[3] 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] The Analysis of Linear Partial Differential Operators III, Springer-Verlag, 1985. | MR | Zbl
,[5] Inverse Problems for Partial Differential Equations, Springer-Verlag, 1998, 284 pp. | MR | Zbl
,[6] Determining conductivity by boundary measurements II. Interior results, Comm. Pure Appl. Math. 38 (1985) 643-667. | MR | Zbl
, ,[7] Determining anisotropic real-analytic conductivities by boundary measurements, Comm. Pure Appl. Math. 42 (1989) 1097-1112. | MR | Zbl
, ,[8] A global uniqueness for a two-dimensional inverse problem, Ann. Math. 142 (2) (1996) 71-96. | MR | Zbl
,[9] Riemannian Geometry, Springer-Verlag, 1998. | MR | Zbl
,[10] An anisotropic inverse boundary value problem, Comm. Pure Appl. Math. 38 (1990) 201-232. | MR | Zbl
,[11] A uniqueness theorem for an inverse boundary problem, Ann. Math. 125 (2) (1987) 153-169. | MR | Zbl
, ,[12] Partial Differential Equations II, Springer-Verlag, 1996. | Zbl
,[13] Partial Differential Equations III, Springer-Verlag, 1996. | Zbl
,[14] Sheaf Theory, Cambridge University Press, 1975, 164 pp. | MR | Zbl
,[15] 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.]. | MR | Zbl
,[16] Generalized Analytic Functions, Pergamon Press, 1962. | MR | Zbl
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