English

Stochastic equations with time-dependent drift driven by Levy processes

Probability 2007-05-23 v1 Mathematical Physics math.MP

Abstract

Using the method of Krylov's estimates, we prove the existence of weak solutions of stochastic differential equations driven by purely discontinuous Levy processes satisfying an additional assumption. The diffusion coefficient is assumed to be one and the time-dependent drift is measurable and bounded.

Keywords

Cite

@article{arxiv.math/0604136,
  title  = {Stochastic equations with time-dependent drift driven by Levy processes},
  author = {V. P. Kurenok},
  journal= {arXiv preprint arXiv:math/0604136},
  year   = {2007}
}

Comments

12 pages