On irregular functionals of??SDEs and??the??Euler??scheme, Finance and Stochastics, vol.8, issue.3, pp.381-401, 2009. ,
DOI : 10.1007/s00780-009-0099-7
Interpolation of operators, 1988. ,
Interpolation spaces. An introduction, 1976. ,
Discrete-time approximation of BSDEs and probabilistic schemes for fully nonlinear PDEs, Radon Series Comp, Appl. Math, issue.8, pp.1-34, 2009. ,
Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations, Stoch, Proc. Appl, pp.175-206, 2004. ,
L p solutions of backward stochastic differential equations, Stoch, Proc. Appl, issue.108, pp.109-129, 2003. ,
Free-knot spline approximation of stochastic processes, Journal of Complexity, vol.23, issue.4-6, pp.23867-889, 2007. ,
DOI : 10.1016/j.jco.2007.05.003
On the existence and uniqueness of solutions to FBSDEs in a non-degenerate case, Stochastic Processes and their Applications, vol.99, issue.2, pp.209-286, 2002. ,
DOI : 10.1016/S0304-4149(02)00085-6
Partial Differential Equations of Parabolic Type, 1964. ,
On approximation of a class of stochastic integrals and interpolation, Stochastics and Stochastics Reports, pp.339-362, 2004. ,
Interpolation and approximation in L 2 (?), Journal of Approximation Theory, vol.144, issue.213, p.232, 2007. ,
Weak convergence of error processes in discretizations of stochastic integrals and Besov spaces, Bernoulli, vol.15, issue.4, pp.925-954, 2009. ,
DOI : 10.3150/09-BEJ197
BMO and L p -approximation of stochastic integrals ,
L 2 -time regularity of BSDEs with irregular terminal functions, Stoch. Proc. Appl, issue.120, pp.20101105-1132 ,
URL : https://hal.archives-ouvertes.fr/hal-00291768
A regression-based Monte Carlo method to solve backward stochastic differential equations, The Annals of Applied Probability, vol.15, issue.3, pp.20052172-2202 ,
DOI : 10.1214/105051605000000412
Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations, pp.889-916, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00394976
Sensitivity Analysis Using It??--Malliavin Calculus and Martingales, and Application to Stochastic Optimal Control, SIAM Journal on Control and Optimization, vol.43, issue.5, pp.1676-1713, 2005. ,
DOI : 10.1137/S0363012902419059
Lipschitz functions and fractional Sobolev spaces, Potential Analysis, pp.415-429, 1999. ,
Nonlinear Feynman-Kac formula and discrete-functionaltype BSDEs with continuous coefficients, Stoch. Proc. Appl, issue.112, pp.23-51, 2004. ,
Representation theorems for backward stochastic differential equations, The Annals of Applied Probability, vol.12, issue.4, pp.1390-1418, 2002. ,
DOI : 10.1214/aoap/1037125868
On fractional smoothness and approximations of stochastic integrals, 2009. ,
Interpolation and approximation in L p, 2009. ,
A numerical scheme for BSDEs, The Annals of Applied Probability, vol.14, issue.1, pp.459-488, 2004. ,
DOI : 10.1214/aoap/1075828058
Representation of solutions to BSDE's associated with a degenerate FSDE, Ann. Appl. Prob, issue.15, pp.1798-1831, 2005. ,
Discretizing a backward stochastic differential equation, International Journal of Mathematics and Mathematical Sciences, vol.32, issue.2, pp.2002-2034 ,
DOI : 10.1155/S0161171202110234