Reflected BSDEs in non-convex domains

Autor: Chassagneux, Jean-François, Nadtochiy, Sergey, Richou, Adrien
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: This paper establishes the well-posedness of reflected backward stochastic differential equations in the non-convex domains that satisfy a weaker version of the star-shaped property. The main results are established (i) in a Markovian framework with H\"older-continuous generator and terminal condition and (ii) in a general setting under a smallness assumption on the input data. We also investigate the connections between this well-posedness result and the theory of martingales on manifolds.
Databáze: arXiv