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References

  1. Bally V., Caballero E., El-Karoui N. and B.Fernandez : Reflected BSDE's PDE's and Variational Inequalities (to appear in Bernoulli 2007).
  2. Barles, G.; Lesigne, E. SDE, BSDE and PDE. Backward stochastic differential equations (Paris, 1995--1996), 47--80, Pitman Res. Notes Math. Ser., 364, Longman, Harlow, 1997. MR1752675 (2000m:60067)
  3. Bally, V.; Matoussi, A. Weak solutions for SPDEs and backward doubly stochastic differential equations. J. Theoret. Probab. 14 (2001), no. 1, 125--164. MR1822898 (2001m:60142)
  4. Bensoussan, A.; Lions, J.-L. Applications des inéquations variationnelles en contrôle stochastique.(French) Méthodes Mathématiques de l'Informatique, No. 6.Dunod, Paris, 1978. viii+545 pp. ISBN: 2-04-010336-8 MR0513618 (58 #23923)
  5. Bismut, Jean-Michel. Conjugate convex functions in optimal stochastic control. J. Math. Anal. Appl. 44 (1973), 384--404. MR0329726 (48 #8067)
  6. El Karoui, N.; Peng, S.; Quenez, M. C. Backward stochastic differential equations in finance. Math. Finance 7 (1997), no. 1, 1--71. MR1434407 (98d:90030)
  7. El Karoui, N.; Kapoudjian, C.; Pardoux, E.; Peng, S.; Quenez, M. C. Reflected solutions of backward SDE's, and related obstacle problems for PDE's. Ann. Probab. 25 (1997), no. 2, 702--737. MR1434123 (98k:60096)
  8. El Karoui, N.; Pardoux, E.; Quenez, M. C. Reflected backward SDEs and American options. Numerical methods in finance, 215--231, Publ. Newton Inst., Cambridge Univ. Press, Cambridge, 1997. MR1470516 (99b:60078)
  9. Hamadène, S.; Ouknine, Y. Reflected backward stochastic differential equation with jumps and random obstacle. Electron. J. Probab. 8 (2003), no. 2, 20 pp. (electronic). MR1961164 (2003m:60148)
  10. HamadËne S., Lepeltier, J.-P. and Matoussi A. : Doublebarriers reflected backward SDE's with continuous coefficients. Pitman Research Notes in Mathematics Series,364 , 115-128 (1997).
  11. Kunita, H. Stochastic differential equations and stochastic flows of diffeomorphisms. École d'été de probabilités de Saint-Flour, XII---1982, 143--303, Lecture Notes in Math., 1097, Springer, Berlin, 1984. MR0876080 (87m:60127)
  12. Lepeltier, J.-P.; Matoussi, A.; Xu, M. Reflected backward stochastic differential equations under monotonicity and general increasing growth conditions. Adv. in Appl. Probab. 37 (2005), no. 1, 134--159. MR2135157 (2006c:60070)
  13. Pardoux, Étienne. BSDEs, weak convergence and homogenization of semilinear PDEs. Nonlinear analysis, differential equations and control (Montreal, QC, 1998), 503--549, NATO Sci. Ser. C Math. Phys. Sci., 528, Kluwer Acad. Publ., Dordrecht, 1999. MR1695013 (2000e:60096)
  14. Pardoux, É.; Peng, S. G. Adapted solution of a backward stochastic differential equation. Systems Control Lett. 14 (1990), no. 1, 55--61. MR1037747 (91e:60171)
  15. Pardoux, É.; Peng, S. Backward stochastic differential equations and quasilinear parabolic partial differential equations. Stochastic partial differential equations and their applications (Charlotte, NC, 1991), 200--217, Lecture Notes in Control and Inform. Sci., 176, Springer, Berlin, 1992. MR1176785 (93k:60157)
  16. Peng, Shi Ge. Probabilistic interpretation for systems of quasilinear parabolic partial differential equations. Stochastics Stochastics Rep. 37 (1991), no. 1-2, 61--74. MR1149116 (93a:35159)
  17. Revuz D. and Yor, M. : Continuous martingales and Brownian motion (Springer, Berlin) (1991).
  18. Yong, Jiongmin; Zhou, Xun Yu. Stochastic controls.Hamiltonian systems and HJB equations.Applications of Mathematics (New York), 43. Springer-Verlag, New York, 1999. xxii+438 pp. ISBN: 0-387-98723-1 MR1696772 (2001d:93004)


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