J. Benamou and Y. Brenier, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numerische Mathematik, vol.84, issue.3, pp.375-393, 2000.
DOI : 10.1007/s002110050002

G. Buttazzo, E. Oudet, and C. Jimenez, An optimization problem for mass transportation with congested dynamics, preprint available at: http://cvgmt.sns.it, 2008.

G. Carlier and J. Salomon, A monotonic algorithm for the optimal control of the Fokker-Planck equation, 2008 47th IEEE Conference on Decision and Control, pp.8-11, 2008.
DOI : 10.1109/CDC.2008.4738915

URL : https://hal.archives-ouvertes.fr/hal-00267432

M. Freidlin, Functional integration and partial differential equations, Annales of Mathematics Studies, vol.109, 1985.

C. Hirsch, Numerical Computation of Internal and External Flows: Computational Methods for Inviscid and Viscous Flows, 1990.

P. E. Kloeden and E. Platen, Numerical solution of stochastic differential equations, Applications of Mathematics, 1992.

V. F. Krotov, Solution Algorithms and Optimization of Control Systems. I, II, Tekh. Kibern, pp.3-15, 1975.

A. Lachapelle, Jeux à champ moyen, simulation numérique et application à un modèle de choix technologiques, 2006.

J. Lasry and P. Lions, Jeux ?? champ moyen. I ??? Le cas stationnaire, Comptes Rendus Mathematique, vol.343, issue.9, pp.619-625, 2006.
DOI : 10.1016/j.crma.2006.09.019

J. Lasry and P. Lions, Jeux à champ moyen. II. Horizon fini et contrôle optimal. (French) [Mean field games. II. Finite horizon and optimal control, Math. Acad

J. Lasry and P. Lions, Mean field games, Japanese Journal of Mathematics, vol.4, issue.1, pp.229-260, 2007.
DOI : 10.1007/s11537-007-0657-8

URL : https://hal.archives-ouvertes.fr/hal-00667356

J. Lions, Optimal control of systems governed by partial differential equations, 1971.
DOI : 10.1007/978-3-642-65024-6

Y. Maday and G. Turinici, New formulations of monotonically convergent quantum control algorithms, The Journal of Chemical Physics, vol.118, issue.18, pp.8191-8196, 2003.
DOI : 10.1063/1.1564043

URL : https://hal.archives-ouvertes.fr/hal-00798478

Y. Maday, J. Salomon, and G. Turinici, Monotonic time-discretized schemes in quantum control, Numerische Mathematik, vol.103, issue.2, pp.323-338, 2006.
DOI : 10.1007/s00211-006-0678-x

URL : https://hal.archives-ouvertes.fr/hal-00112592

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 2007.

W. Rudin, Real and complex analysis, 1987.

J. Salomon and G. Turinici, A monotonic method for solving nonlinear optimal control problems, submitted, preprint hal-00335297

D. Tannor, V. Kazakov, and V. Orlov, Control of Photochemical Branching: Novel Procedures for Finding Optimal Pulses and Global Upper Bounds in Time Dependent Quantum Molecular Dynamics, Plenum, Broeckhove J. and Lathouwers L, pp.347-360, 1992.

R. Temam, Navier-Stokes equations, North-Holland, Studies in Mathematics and its Applications, 1984.

W. Zhu and H. Rabitz, A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator, The Journal of Chemical Physics, vol.109, issue.2, pp.385-391, 1998.
DOI : 10.1063/1.476575

R. Dautray and J. L. Lions, Mathematical analysis and numerical methods for science and technology Evolution problems. I, 1992.
DOI : 10.1007/978-3-642-61529-0

R. Dautray, Méthodes probabilistes pour les équations de la physique, 1989.