R. Aboula¨?chaboula¨?ch, B. Abda, A. Kallel, and M. , Missing boundary data reconstruction via an approximate optimal control, Inverse Problems and Imaging, vol.2, issue.4, pp.411-426, 2008.
DOI : 10.3934/ipi.2008.2.411

S. Andrieux, T. Baranger, B. Abda, and A. , Solving Cauchy problems by minimizing an energy-like functional, Inverse Problems, vol.22, issue.1, pp.115-133, 2006.
DOI : 10.1088/0266-5611/22/1/007

URL : https://hal.archives-ouvertes.fr/hal-00139569

H. Attouch, P. Redont, and A. Soubeyran, A new class of alternating proximal minization algorithms with costs-to-move SIAM, J. Optim, vol.18, pp.1061-1081, 2007.

H. Attouch, J. Bolte, P. Redont, and A. Soubeyran, Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE's J. Convex Anal, pp.485-506, 2008.

H. Attouch and M. Soueycatt, Augmented Lagrangian and proximal alternating direction methods of multipliers in Hilbert spaces. Applications to games, PDE's and control, Pacific J. Optim, vol.5, pp.17-37, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00803888

T. Basar, Relaxation techniques and asynchronous algorithms for on-line computation of noncooperative equilibria, 26th IEEE Conference on Decision and Control, pp.531-549, 1987.
DOI : 10.1109/CDC.1987.272779

B. Abda, A. , B. Hassen, F. Leblond, J. Mahjoub et al., Sources recovery from boundary data: A model related to electroencephalography, Mathematical and Computer Modelling, vol.49, issue.11-12, pp.2213-2223, 2009.
DOI : 10.1016/j.mcm.2008.07.016

URL : https://hal.archives-ouvertes.fr/hal-00798465

B. Belgacem and F. , Why is the Cauchy problem severely ill-posed?, Inverse Problems, vol.23, issue.2, pp.823-859, 2007.
DOI : 10.1088/0266-5611/23/2/020

L. Bourgeois, About stability and regularization of ill-posed elliptic Cauchy problems: the case of C 1,1 domains ESAIM, pp.2-44, 2010.

S. Chaabane, M. Jaoua, and J. Leblond, Parameter identification for Laplace equation and approximation in analytic classes, J. Inv. Ill-Posed Problems, vol.11, pp.35-57, 2003.

H. Cao and S. Pereverzv, The balancing principle for the regularization of elliptic Cauchy problems, Inverse Problems, vol.23, issue.5, pp.1943-1961, 2007.
DOI : 10.1088/0266-5611/23/5/009

A. Chakib and A. Nachaoui, Convergence analysis for finite element approximation to an inverse Cauchy problem, Inverse Problems, vol.22, issue.4, pp.1191-1206, 2006.
DOI : 10.1088/0266-5611/22/4/005

D. Nho, H. Lesnic, and D. , The Cauchy problem for Laplace's equation via the conjugate gradient method, Journal of Applied Mathematics, vol.65, pp.199-217, 2000.

A. Habbal, J. Petersson, and M. Thellner, Multidisciplinary topology optimization solved as a Nash game, International Journal for Numerical Methods in Engineering, vol.61, issue.7, pp.949-963, 2004.
DOI : 10.1002/nme.1093

V. A. Kozlov, V. Maz-'ya, and A. Fomin, An iterative method for solving the Cauchy problems for elliptic equations Comput, Math. Phys, vol.31, pp.45-52, 1991.

S. Li and T. Basar, Distributed algorithms for the computation of noncooperative equilibria, Automatica, vol.23, issue.4, pp.523-533, 1987.
DOI : 10.1016/0005-1098(87)90081-1

S. Uryas-'ev and R. Rubinstein, On relaxation algorithms in computation of noncooperative equilibria, IEEE Transactions on Automatic Control, vol.39, issue.6, pp.1263-1267, 1994.
DOI : 10.1109/9.293193