A class of multidimensional quadratic BSDEs
Probability
2019-05-02 v2
Abstract
In this paper we study a multidimensional quadratic BSDE with a particular class of product generators and give a result of existence of solution in a suitable complete metric space under some constraints on parameters. We also use that result to derive the existence and uniqueness of solution to the one dimensional case with bounded terminal values and show the existence of solution to a lower triangular quadratic BSDE with certain bounded terminal values.
Cite
@article{arxiv.1703.04153,
title = {A class of multidimensional quadratic BSDEs},
author = {Zhongmin Qian and Shujin Wu and Yimin Yang},
journal= {arXiv preprint arXiv:1703.04153},
year = {2019}
}
Comments
13 pages