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Original Articles

BSDE's and viscosity solutions of semilinear pde's

Pages 1-32 | Published online: 04 Apr 2007

References

  • Barles , G. , Buckdahn , R. and Pardoux , E. 1997 . BSDE's and integral-partial differential equations . Stochastics and Stochastics Reports , 60 : 57 – 83 .
  • Bensoussan , A. and Lions , J. L. “ Applications des inéquations variationnelles encontrôle stochastique ” . In Méthodes mathematiques de l'informedique , Vol. 6 , Dunod .
  • Briand , Ph. 1995 . Une remarque sur la formule de Feynman-Kac généralisée . Comptes Rendus de l'Académie des sciences de paris, tome 321, Série I , 10 : 1315 – 1318 .
  • Cessenat , M. , Ledanois , G. , Lions , P. L. , Pardoux , E. and Sentis , R. “ Méthodes probabilistes pour les équations de la physique ” . In Collection du C. E. A. sous la direction de R. Dautray, Série synthèses Eyrolles
  • Crandall , M. G. , Ishii , H. and Lions , P. L. 1992 . User's guide to viscosity solutions of second order partial differential equations . Bulletin of American Mathematical Society , 27 : 1 – 67 .
  • El Karoui , N. , Peng , S. and Quenez , M. C. 1997 . Backward stochastic differential equations in finance . Mathematical Finance , 7 : 1 – 71 .
  • Friedman , A. “ Stochastic differential equations and applications ” . New York : Academic Press .
  • Has'minskii , R. Z. “ Stochastic stability of differential equations ” . Sijthoff and Norrdhoff .
  • Ikeda , N and Watanabe , S. 1981 . “ Stochastic differential equations and diffusion processes ” . Amsterdam : North Holland .
  • Kunita , H. “ Cours de l'école de probabilités de Saint-Flour 1982 ” . Lecture Notes in Mathematics !097 Berlin Heidelberg, New-York : Springer-Verlag .
  • Lions , P. L. 1983 . Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations . Part 2: Viscosity solutions and uniqueness. Communications in Partial Differential Equations , 8 : 1229 – 1276 .
  • Pardoux , E. and Peng , S. 1990 . Adapted solution of a backward stochastic differential equation . Systems and Control Letters , 14 : 55 – 61 .
  • Pardoux , E. , Peng , S. and Sowers , R. B. 1992 . “ stochastic partial differential equations and their applications ” . Lecture Notes in Control and Information Sciences Edited by: Sowers , R. B. Vol. 176 , Berlin, Heidelberg, New York : Springer-Verlag .
  • Peng , S. 1991 . Probabilistic interpretation for systems of quasilinear parabolic partial differential equations . Stochastics and Stochastics Reports , 37 : 61 – 74 .

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