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Weak Solutions for SPDEs and Backward Doubly Stochastic Differential Equations
7 references·15 citing·31 second hop
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this work references cited by second hop

References

  • 2005Stochastic Integration and Differential Equations4,594 cited
  • 1983Stochastic Differential Equations and Diffusion Processes3,836 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 1998Stochastic Flows and Stochastic Differential Equations1,182 cited
  • 2014Stochastic Integration and Differential Equations : A New Approach686 cited
  • 1994Backward doubly stochastic differential equations and systems of quasilinear SPDEs337 cited

Cited by

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  • 2007Stationary solutions of SPDEs and infinite horizon BDSDEs72 cited
  • 2010Solving BSDE with Adaptive Control Variate68 cited
  • 2008Stochastic PDIEs and backward doubly stochastic differential equations driven by Lévy processes45 cited
  • 2005Backward Stochastic Differential Equations Associated to a Symmetric Markov Process45 cited
  • 2010About the Pricing Equations in Finance42 cited
  • 2005Generalized Directional Gradients, Backward Stochastic Differential Equations and Mild Solutions of Semilinear Parabolic Equations

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40 cited
  • 2010Stationary solutions of SPDEs and infinite horizon BDSDEs with non-Lipschitz coefficients38 cited
  • 2014Probabilistic interpretation for a system of quasilinear parabolic partial differential equation combined with algebra equations37 cited
  • 2005SEMI-LINEAR SYSTEMS OF BACKWARD STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS IN ℝn36 cited
  • 2002Stochastic PDEs Driven by Nonlinear Noise and Backward Doubly SDEs32 cited
  • 2008Stochastic PDIEs with nonlinear Neumann boundary conditions and generalized backward doubly stochastic differential equations driven by Lévy processes32 cited
  • 2010The obstacle problem for quasilinear stochastic PDE’s28 cited
  • 2010Multidimensional BSDEs with super-linear growth coefficient: Application to degenerate systems of semilinear PDEs27 cited