BSDEs with logarithmic growth driven by a Brownian motion and a Poisson random measure and connection to stochastic control problem
Probability
2021-03-17 v2 Optimization and Control
Abstract
In this paper, we study one-dimensional backward stochastic differential equation with jump under logarithmic growth assumption in the z-variable (|z|\sqrt{|\ln|z|}|) and an L^p terminal value (for a suitable p>2). We show the existence and the uniqueness of the solution when the noise is driven by a Brownian motion and an independent Poisson random measure. In addition, we highlight the connection of such BSDEs with stochastic optimal control problem, where we show the existence of an optimal strategy for the stochastic control problem.
Keywords
Cite
@article{arxiv.2012.09072,
title = {BSDEs with logarithmic growth driven by a Brownian motion and a Poisson random measure and connection to stochastic control problem},
author = {Khalid Oufdil},
journal= {arXiv preprint arXiv:2012.09072},
year = {2021}
}
Comments
19 pages