Anticipating Linear Stochastic Differential Equations Driven by a L\'{e}vy Process
Probability
2012-07-09 v1
Abstract
In this paper we study the existence of a unique solution for linear stochastic differential equations driven by a L\'evy process, where the initial condition and the coefficients are random and not necessarily adapted to the underlying filtration. Towards this end, we extend the method based on Girsanov transformation on Wiener space and developped by Buckdahn to the canonical L\'evy space.
Cite
@article{arxiv.1207.1692,
title = {Anticipating Linear Stochastic Differential Equations Driven by a L\'{e}vy Process},
author = {Jorge A. León and David Márquez-Carreras and Josep Vives},
journal= {arXiv preprint arXiv:1207.1692},
year = {2012}
}