On the uniqueness of solutions to quadratic BSDEs with convex generators and unbounded terminal conditions: The critical case.
Summary
In [3], the authors proved that uniqueness holds among solutions whose exponentials are $L^p$ with $p$ bigger than a constant $\gamma$ ($p>\gamma$). In this paper, we consider the critical case: $p=\gamma$. We prove that the uniqueness holds among solutions whose exponentials are $L^\gamma$ under the additional assumption that the generator is strongly convex.
Publisher
American Institute of Mathematical Sciences (AIMS)
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