Publikation: Minimal supersolutions of convex BSDEs
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2013
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The Annals of Probability. 2013, 41(6), pp. 3973-4001. ISSN 0091-1798. Available under: doi: 10.1214/13-AOP834
Zusammenfassung
We study the nonlinear operator of mapping the terminal value ξ to the corresponding minimal supersolution of a backward stochastic differential equation with the generator being monotone in y, convex in z, jointly lower semicontinuous and bounded below by an affine function of the control variable z. We show existence, uniqueness, monotone convergence, Fatou’s lemma and lower semicontinuity of this operator. We provide a comparison principle for minimal supersolutions of BSDEs.
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510 Mathematik
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DRAPEAU, Samuel, Gregor HEYNE, Michael KUPPER, 2013. Minimal supersolutions of convex BSDEs. In: The Annals of Probability. 2013, 41(6), pp. 3973-4001. ISSN 0091-1798. Available under: doi: 10.1214/13-AOP834BibTex
@article{Drapeau2013Minim-27020, year={2013}, doi={10.1214/13-AOP834}, title={Minimal supersolutions of convex BSDEs}, number={6}, volume={41}, issn={0091-1798}, journal={The Annals of Probability}, pages={3973--4001}, author={Drapeau, Samuel and Heyne, Gregor and Kupper, Michael} }
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