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Generalized Reflected BSDE and an Obstacle Problem for PDEs with a Nonlinear Neumann Boundary Condition
10 references·3 citing·36 second hop
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this work references cited by second hop

References

  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1984Stochastic differential equations with reflecting boundary conditions817 cited
  • 2005Backward stochastic differential equations and quasilinear parabolic partial differential equations782 cited
  • 1997Reflected solutions of backward SDE's, and related obstacle problems for PDE's704 cited
  • 1991Probabilistic interpretation for systems of quasilinear parabolic partial differential equations518 cited
  • 1996Backward stochastic differential equations with reflection and Dynkin games321 cited
  • 1998Generalized BSDEs and nonlinear Neumann boundary value problems158 cited
  • 2005Penalization method for reflected backward stochastic differential equations with one r.c.l.l. barrier97 cited
  • 1997Probabilistic interpretation of a system of semi-linear parabolic partial differential equations71 cited
  • 1999Reflected forward‐backward SDEs and obstacle problems with boundary conditions61 cited

Cited by

  • 2009On Solutions of Backward Stochastic Volterra Integral Equations with Jumps in Hilbert Spaces43 cited
  • 2009Generalized reflected BSDEs driven by a Lévy process and an obstacle problem for PDIEs with a nonlinear Neumann boundary condition39 cited
  • 2008Stochastic PDIEs with nonlinear Neumann boundary conditions and generalized backward doubly stochastic differential equations driven by Lévy processes

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32 cited