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The wellposedness of FBSDEs
15 references·8 citing·26 second hop
The wellposedness of FBSDEs (2006)The wellposedness of FBSDEsBackward Stochastic Differential Equations (2013)Backward Stochastic Different…Forward-Backward Stochastic Differential Equations and their Applications (2007)Forward-Backward Stochastic D…Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Backward stochastic different…Weak Solutions of Forward–Backward SDE's (2003)Weak Solutions of Forward–Bac…On the existence and uniqueness of solutions to FBSDEs in a non-degenerate case (2002)On the existence and uniquene…Linear ForwardBackward Stochastic Differential Equations (1999)Linear ForwardBackward Stocha…Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control (1999)Fully Coupled Forward-Backwar…Forward-backward stochastic differential equations and quasilinear parabolic PDEs (1999)Forward-backward stochastic d…Finding adapted solutions of forward–backward stochastic differential equations: method of continuation (1997)Finding adapted solutions of …Backward Stochastic Differential Equations in Finance (1997)Backward Stochastic Different…Hedging options for a large investor and forward-backward SDE's (1996)Hedging options for a large i…Solution of forward-backward stochastic differential equations (1995)Solution of forward-backward …Solving forward-backward stochastic differential equations explicitly — a four step scheme (1994)Solving forward-backward stoc…Backward-Forward Stochastic Differential Equations (1993)Backward-Forward Stochastic D…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…Wellposedness of Second Order Master Equations for Mean Field Games with Nonsmooth Data (2024)Wellposedness of Second Order…Managing Mortality Risk With Longevity Bonds When Mortality Rates Are Cointegrated (2015)Managing Mortality Risk With …Stochastic Differential Games for Fully Coupled FBSDEs with Jumps (2014)Stochastic Differential Games…Mean–variance portfolio selection with correlation risk (2014)Mean–variance portfolio selec…Mean–variance asset–liability management with asset correlation risk and insurance liabilities (2014)Mean–variance asset–liability…A Numerical Method and Its Error Estimates for the Decoupled Forward-Backward Stochastic Differential Equations (2013)A Numerical Method and Its Er…Mean-variance principle of managing cointegrated risky assets and random liabilities (2012)Mean-variance principle of ma…Maximum principle for optimal control of fully coupled forward-backward stochastic differential delayed equations (2012)Maximum principle for optimal…A General Stochastic Maximum Principle for Optimal Control Problems (1990)Nonlinear Expectations, Nonlinear Evaluations and Risk Measures (2004)Probabilistic Analysis of Mean-Field Games (2013)Brownian Motion and Stochastic Calculus (1988)Reflected solutions of backward SDE's, and related obstacle problems for PDE's (1997)Backward stochastic differential equations and partial differential equations with quadratic growth (2000)Brownian Motion and Stochastic Calculus (2007)The Malliavin Calculus and Related Topics (1995)Second‐order backward stochastic differential equations and fully nonlinear parabolic PDEs (2006)The Malliavin Calculus and Related Topics (2006)Control of McKean–Vlasov dynamics versus mean field games (2012)Forward–backward stochastic differential equations and controlled McKean–Vlasov dynamics (2015)Controlled Diffusion Processes (1980)Stochastic Integration and Differential Equations (1990)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)A regression-based Monte Carlo method to solve backward stochastic differential equations (2005)Controlled Markov Processes and Viscosity Solutions (2005)Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations (2019)Stochastic Differential Utility (1992)Optimal Consumption and Portfolio Selection with Stochastic Differential Utility (1999)The Pricing of Options and Corporate Liabilities (1973)Theory of rational option pricing (2005)Partial Differential Equations (2010)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (2000)A numerical scheme for BSDEs (2004)Stochastic Differential Equations (2014)
this work references cited by second hop

References

  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 2005Backward stochastic differential equations and quasilinear parabolic partial differential equations782 cited
  • 1994Solving forward-backward stochastic differential equations explicitly — a four step scheme740 cited
  • 2007Forward-Backward Stochastic Differential Equations and their Applications675 cited
  • 1999Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control494 cited
  • 1995Solution of forward-backward stochastic differential equations402 cited
  • 1993Backward-Forward Stochastic Differential Equations345 cited
  • 1999Forward-backward stochastic differential equations and quasilinear parabolic PDEs329 cited
  • 2002On the existence and uniqueness of solutions to FBSDEs in a non-degenerate case267 cited
  • 1996Hedging options for a large investor and forward-backward SDE's207 cited
  • 1997Finding adapted solutions of forward–backward stochastic differential equations: method of continuation189 cited
  • 2013Backward Stochastic Differential Equations159 cited
  • 1999Linear ForwardBackward Stochastic Differential Equations84 cited

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2003
Weak Solutions of Forward–Backward SDE's
49 cited

Cited by

  • 2013A Numerical Method and Its Error Estimates for the Decoupled Forward-Backward Stochastic Differential Equations47 cited
  • 2014Mean–variance asset–liability management with asset correlation risk and insurance liabilities38 cited
  • 2012Maximum principle for optimal control of fully coupled forward-backward stochastic differential delayed equations35 cited
  • 2014Mean–variance portfolio selection with correlation risk34 cited
  • 2012Mean-variance principle of managing cointegrated risky assets and random liabilities29 cited
  • 2024Wellposedness of Second Order Master Equations for Mean Field Games with Nonsmooth Data25 cited
  • 2015Managing Mortality Risk With Longevity Bonds When Mortality Rates Are Cointegrated25 cited
  • 2014Stochastic Differential Games for Fully Coupled FBSDEs with Jumps24 cited