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Grigorova, Miryana; Imkeller, Peter; Quenez, Marie-Claire; Ouknine, Youssef: Doubly Reflected BSDEs and $\mathcal{E}$$^ƒ$-Dynkin games: beyond the right-continuous case. In: . Jg.598. 2018, S. 31 ff.
Inhalt
Introduction
Preliminaries
Doubly Reflected BSDE whose obstacles are irregular
Definition and first properties
The case when f does not depend on the solution
Equivalent formulation
Existence of a (minimal) solution of the coupled system of RBSDEs
Uniqueness of the solution
The case of a general Lipschitz driver f(t,y,z,k )
Doubly reflected BSDEs with irregular barriers and Ef-Dynkin games with irregular rewards
The case where is right upper-semicontinuous and is right lower-semicontinuous
The general irregular case
Two useful corollaries
Appendix
Reflected BSDE with driver 0 and irregular obstacle
Proofs
References