S. Agmon, A. Douglis, and L. Niremberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Communications on Pure and Applied Mathematics, vol.29, issue.4, pp.623-727, 1959.
DOI : 10.1002/cpa.3160120405

G. Alessandrini, E. Beretta, E. Rosset, and S. Vessella, Optimal Stability for Inverse Elliptic Boundary Value Problems with Unknown Boundaries, Ann. Sc. Norm. Super. Pisa - Scienze Fisiche e Matematiche -Serie IV. Vol XXIX. Fasc, vol.4, 2000.

G. Alessandrini, E. Beretta, and S. Vessella, Determining Linear Cracks by Boundary Measurements: Lipschitz Stability, SIAM Journal on Mathematical Analysis, vol.27, issue.2, pp.361-375, 1996.
DOI : 10.1137/S0036141094265791

G. Alessandrini, L. Del-piero, and L. Rondi, Stable determination of corrosion by a single electrostatic boundary measurement, Inverse Problems, vol.19, issue.4, pp.973-984, 2003.
DOI : 10.1088/0266-5611/19/4/312

G. Alessandrini and E. Dibenedetto, Determining 2-dimensional cracks in 3-dimensional bodies: uniqueness and stability, Indiana Univ, Math. J, vol.46, issue.1, pp.1-82, 1997.

G. Alessandrini and E. Sincich, Detecting nonlinear corrosion by electrostatic measurements , Applicable Anal, pp.107-128, 2006.
DOI : 10.1080/00036810500277702
URL : http://arxiv.org/abs/math/0406575

G. Alessandrini and E. Sincich, Solving elliptic Cauchy problems and the identification of nonlinear corrosion, to appear on, J. Comput. Appl. Math

G. Alessandrini and S. Vessella, Lipschitz stability for the inverse conductivity problem, Lipschitz Stability for the Inverse Conductivity Problem, pp.207-241, 2005.
DOI : 10.1016/j.aam.2004.12.002

V. Bacchelli and S. Vessella, Lipschitz stability for a stationary 2D inverse problem with unknown polygonal boundary, Inverse Problems, vol.22, issue.5, pp.1627-1658, 2006.
DOI : 10.1088/0266-5611/22/5/007

H. Bellout and A. Friedman, Identification problems in potential theory, Archive for Rational Mechanics and Analysis, vol.101, issue.2, pp.143-160, 1988.
DOI : 10.1007/BF00251458

K. Bryan and M. Vogelius, Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling, Quarterly of Applied Mathematics, vol.60, issue.4, pp.675-694, 2002.
DOI : 10.1090/qam/1939006

S. Chaabane, I. Fellah, M. Jaoua, and J. Leblond, Logarithmic stability estimates for a Robin coefficient in two-dimensional Laplace inverse problems, Inverse Problems, vol.20, issue.1, pp.47-59, 2004.
DOI : 10.1088/0266-5611/20/1/003

S. Chaabane, M. Jaoua, and J. Leblond, Parameter identification for the Laplace equation and approximation in Hardy classes, J. Inverse Ill-Posed Proble, pp.33-57, 2003.

S. Chaabane and M. Jaoua, Identification of Robin coefficients by the means of boundary measurements, Inverse Problems, vol.15, issue.6, pp.1425-1438, 1999.
DOI : 10.1088/0266-5611/15/6/303

D. Fasino and G. Inglese, An inverse Robin problem for Laplace's equation: theoretical results and numerical methods, Inverse Problems, vol.15, issue.1, pp.41-48, 1999.
DOI : 10.1088/0266-5611/15/1/008

D. Fasino and G. Inglese, Discrete methods in the study of an inverse problem for Laplace's equation, IMA Journal of Numerical Analysis, vol.19, issue.1, pp.105-118, 1999.
DOI : 10.1093/imanum/19.1.105

D. Fasino and G. Inglese, STABILITY OF THE SOLUTIONS OF AN INVERSE PROBLEM FOR LAPLACE'S EQUATION IN A THIN STRIP, Numerical Functional Analysis and Optimization, vol.7, issue.5-6, pp.5-6, 2001.
DOI : 10.1088/0266-5611/12/3/008

D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations od Second Order, 1977.
DOI : 10.1007/978-3-642-61798-0

O. Kavian and M. Vogelius, On the existence and ???blow-up??? of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.133, issue.01, pp.119-149, 2003.
DOI : 10.1017/S0308210500002316

J. Korevaar and J. L. Meyers, Logarithmic Convexity for Supremum Norms of Harmonic Functions, Bulletin of the London Mathematical Society, vol.26, issue.4, pp.335-362, 1994.
DOI : 10.1112/blms/26.4.353

G. M. Lieberman, Regularized distance and its applications, Pacific Journal of Mathematics, vol.117, issue.2, pp.329-353, 1985.
DOI : 10.2140/pjm.1985.117.329
URL : http://projecteuclid.org/download/pdf_1/euclid.pjm/1102706786

J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, 1972.
DOI : 10.1007/978-3-642-65161-8

E. Sincich, Stability and Reconstruction for the Determination of Boundary Terms by a Single Measurements, 2005.

G. N. Trytten, Pointwise bounds for solutions of the cauchy problem for elliptic equations, Archive for Rational Mechanics and Analysis, vol.13, issue.71, pp.222-224, 1963.
DOI : 10.1007/BF01262694

M. Vogelius and J. Xu, A nonlinear elliptic boundary value problem related to corrosion modeling, Quarterly of Applied Mathematics, vol.56, issue.3, pp.479-505, 1998.
DOI : 10.1090/qam/1637048

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Rocquencourt, Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex

I. De-voluceau-rocquencourt, BP 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399