On some path-dependent SDEs involving distributional drifts

january, 2022
Type de publication :
Article (revues avec comité de lecture)
Journal :
Modern Stochastics: Theory and Applications, vol. 9 (1), pp. 65-87
HAL :
hal-02465590
arXiv :
assets/images/icons/icon_arxiv.png 2002.02384
Mots clés :
Bessel processes; SDEs with distributional drift; Path-dependent stochastic differential equations.
Résumé :
In this paper, we study (strong and in law) existence and uniqueness of a class of non-Markovian SDEs whose drift contains the derivative in the sense of distributions of a continuous function.
BibTeX :
@article{Oha-Rus-Tei-2022,
    author={Alberto Ohashi and Francesco Russo and Alan Teixeira },
    title={On some path-dependent SDEs involving distributional drifts },
    doi={10.15559/21-VMSTA197 },
    journal={Modern Stochastics: Theory and Applications },
    year={2022 },
    month={1},
    volume={9 (1) },
    pages={65--87},
}