Existence and Non-uniqueness of Solutions for BSDE

  • Xiaobo Bao
  • Freddy Delbaen
  • Ying Hu


We study BSDE where the driver is pathwise quadratically bounded. The associated utility function is always a solution but even in the class of Markovian solutions uniqueness is not guaranteed. we relate the problem to problems for quasi-linear parabolic PDE.


Stochastic Differential Equation Predictable Process Exponential Moment Backward Stochastic Differential Equation Density Process 
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© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsETH ZurichZurichSwitzerland
  2. 2.Département de MathématiquesUniversité de Rennes-1RennesFrance

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