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2019 | OriginalPaper | Buchkapitel

On the Uniqueness of Solutions to Quadratic BSDEs with Non-convex Generators

verfasst von : Philippe Briand, Adrien Richou

Erschienen in: Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications

Verlag: Springer International Publishing

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Abstract

In this paper we prove some uniqueness results for quadratic backward stochastic differential equations without any convexity assumptions on the generator. The bounded case is revisited while some new results are obtained in the unbounded case when the terminal condition and the generator depend on the path of a forward stochastic differential equation. Some of these results are based on strong estimates on Z that are interesting on their own and could be applied in other situations.

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Metadaten
Titel
On the Uniqueness of Solutions to Quadratic BSDEs with Non-convex Generators
verfasst von
Philippe Briand
Adrien Richou
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-22285-7_3