M. Bardi and I. Capuzzo-dolcetta, Optimal Control and viscosity solutions of Hamilton-Jacobi-Bellman equations, 1997.
DOI : 10.1007/978-0-8176-4755-1

G. Barles, Solutions de viscosité deséquationsdeséquations de Hamilton-Jacobi, Mathématiques et Applications, vol.17, 1994.

G. Barles and B. Perthame, Discontinuous solutions of deterministic optimal stopping time problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.21, issue.4, pp.557-579, 1987.
DOI : 10.1051/m2an/1987210405571

E. N. Barron, Viscosity solutions and analysis in L ? In Nonlinear analysis, differential equations and control, NATO Sci. Ser. C Math. Phys. Sci, vol.528, pp.1-60, 1998.

E. N. Barron and R. Jensen, Semicontinuous Viscosity Solutions For Hamilton???Jacobi Equations With Convex Hamiltonians, Communications in Partial Differential Equations, vol.10, issue.12, pp.1713-1742, 1990.
DOI : 10.1007/BF02765025

E. N. Barron and R. Jensen, Optimal control and semi-continuous viscosity solutions, Proc. Amer, pp.397-402, 1991.

R. Bellman, Dynamic programming, 1961.

O. Bokanowski, E. Cristiani, J. Laurent-varin, and H. Zidani, Hamilton-Jacobi-Bellman approach for the climbing problem, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00537649

O. Bokanowski, E. Cristiani, and H. Zidani, An efficient data structure to solve front propagation problems, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00273977

O. Bokanowski and O. Zidani, Anti-Dissipative Schemes for Advection and Application to Hamilton???Jacobi???Bellmann Equations, Journal of Scientific Computing, vol.21, issue.5, pp.1-33, 2007.
DOI : 10.1007/s10915-005-9017-0

URL : https://hal.archives-ouvertes.fr/hal-00878221

M. G. Crandall, L. C. Evans, and P. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society, vol.282, issue.2, pp.487-502, 1984.
DOI : 10.1090/S0002-9947-1984-0732102-X

M. G. Crandall and P. Lions, Viscosity solutions of Hamilton Jacobi equations, pp.1-42, 1983.

M. G. Crandall and P. Lions, Two approximations of solutions of Hamilton-Jacobi equations, Mathematics of Computation, vol.43, issue.167, pp.1-19, 1984.
DOI : 10.1090/S0025-5718-1984-0744921-8

E. Cristiani and M. Falcone, Fast Semi-Lagrangian Schemes for the Eikonal Equation and Applications, SIAM Journal on Numerical Analysis, vol.45, issue.5, pp.1979-2011, 2007.
DOI : 10.1137/050637625

F. Frankowska, Lower Semicontinuous Solutions of Hamilton???Jacobi???Bellman Equations, SIAM Journal on Control and Optimization, vol.31, issue.1, pp.257-272, 1993.
DOI : 10.1137/0331016

C. Hu and C. Shu, A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations, SIAM Journal on Scientific Computing, vol.21, issue.2, pp.666-690, 1999.
DOI : 10.1137/S1064827598337282

G. Jiang and D. Peng, Weighted ENO Schemes for Hamilton--Jacobi Equations, SIAM Journal on Scientific Computing, vol.21, issue.6, pp.2126-2143, 1999.
DOI : 10.1137/S106482759732455X

S. Osher and C. Shu, High order essentially non-oscillatory schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput, vol.28, pp.907-922, 1991.

P. Saint-pierre, Approximation of the viability kernel, Applied Mathematics & Optimization, vol.14, issue.3, pp.187-209, 1994.
DOI : 10.1007/BF01204182

A. Vladimirsky, Static PDEs for time-dependant control problems. Interfaces and Free Boundaries, pp.281-300, 2006.