Abstract
The main result of this study is to obtain, using the localization method in Briand et al.[3]. Levi, Fatou and Lebesgue type theorems for the solutions of certain one-dimensional backward stochastic differential equation (BSDEs) with integrable parameters with respect to the terminal condition.
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Briand, Ph., Delyon, B., Hu, Y. BSDEs with integrable parameters. Preprint 02–20, IRMAR, Universite Rennes, 2002
Briand, Ph., Delyon, B., Hu, Y., Pardoux, E., Stoica, L. L P solutions of backward stochastic differential equations. Stochastic Processes and Their Applications, 108:109–129 (2003)
Briand, Ph., Hu, Y. BSDE with quadratic growth and unbounded terminal value. Preprint 05–07, IRMAR, Universite Rennes 1, 2005
Kobylanski, M. Backward stochastic differential and partial differential equations with quadratic growth. Annals of Probability, 28(2):558–602 (2000)
Pardoux, E., Peng, S.G. Adapted solution of a backward stochastic differential equation. Systems Control Letters, 14:55–61 (1990)
Peng S.G. Nonlinear expectations,nonlinear evaluations and risk measures. Preprint and Lectures notes presented in CIME-EMS summer school, Bressanone, Italy, July, 2003
Peng S.G. Filtration consistent nonlinear expectations and evaluations of contingent claims. Acta Mathematicae Applicatae Sinica, English Series, 20(2):1–24 (2004)
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Supported by the National Natural Science Foundation of China (No.10671205) and Youth Foundation of China University of Mining & Technology (No.2006A041).
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Fan, Sj. Properties of Solutions of BSDEs with Integrable Parameters. Acta Mathematicae Applicatae Sinica, English Series 23, 697–704 (2007). https://doi.org/10.1007/s10255-007-0406
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DOI: https://doi.org/10.1007/s10255-007-0406