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Titlebook: Backward Stochastic Differential Equations; From Linear to Fully Jianfeng Zhang Textbook 2017 Springer Science+Business Media LLC 2017 Stoc

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Stochastic Differential EquationsIn this chapter we establish the well-posedness and a priori estimates for SDEs. Weak solutions of SDEs will also be studied briefly.
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BSDEs with Quadratic Growth in ,In this chapter we establish the well-posedness of (one-dimensional) BSDEs whose generator has quadratic growth in its Z-component. Such BSDEs appear naturally in optimization problems with exponential utilities, and the main tool is the so-called BMO martingale.
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Forward-Backward SDEsIn this chapter we study coupled Forward-Backward SDEs. The theory for general FBSDEs is still far from mature. We shall introduce three different approaches for its well-posedness: the fixed point approach, the decoupling approach, and the method of continuation.
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Space Technology Export ControlsIn this chapter we present some basic materials crucial for the theory. While we will try our best to make the presentation self-contained, due to the limit of the pages we will have to borrow some results from the standard literature of stochastic calculus, e.g., Karatzas & Shreve [.] and Revuz & Y
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