BSDEs with Quadratic Growth in Z

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Abstract

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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Zhang, J. (2017). BSDEs with Quadratic Growth in Z. In Probability Theory and Stochastic Modelling (Vol. 86, pp. 161–176). Springer Nature. https://doi.org/10.1007/978-1-4939-7256-2_7

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