English

Weak solution for distribution dependent SDEs driven by L\'{e}vy noise

Probability 2026-04-15 v1

Abstract

In this paper, we establish the existence of weak solutions for distribution-dependent stochastic differential equations (DDSDEs) driven by a broad class of L\'{e}vy noises, where the drift coefficients satisfy specific integrability conditions. This is achieved through the Krylov-type estimate and tightness argument.

Keywords

Cite

@article{arxiv.2604.12317,
  title  = {Weak solution for distribution dependent SDEs driven by L\'{e}vy noise},
  author = {Mingkun Ye},
  journal= {arXiv preprint arXiv:2604.12317},
  year   = {2026}
}

Comments

18 pages

R2 v1 2026-07-01T12:08:01.295Z