Limit behaviour of the minimal solution of a BSDE with singular terminal condition in the non Markovian setting

Abstract We use the functional Itô calculus to prove that the solution of a BSDE with singular terminal condition verifies at the terminal time: liminf t → T Y ( t ) = ξ = Y ( T ) $\liminf _{t\to T} Y(t) = \xi = Y(T)$ . Hence, we extend known results for a non-Markovian terminal condition.

Bibliographic Details
Main Authors: Dmytro Marushkevych, Alexandre Popier
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Probability, Uncertainty and Quantitative Risk
Subjects:
Online Access:http://link.springer.com/article/10.1186/s41546-020-0043-5