English

Martingale problems for some degenerate Kolmogorov equations

Probability 2015-09-18 v3

Abstract

We obtain Calder{\'o}n-Zygmund estimates for some degenerate equations of Kolmogorov type with inhomogeneous coefficients. We then derive the well-posedness of the martingale problem associated to related degenerate operators, and therefore uniqueness in law for the corresponding stochastic differential equations. Some density estimates are established as well.

Keywords

Cite

@article{arxiv.1404.0461,
  title  = {Martingale problems for some degenerate Kolmogorov equations},
  author = {Stephane Menozzi},
  journal= {arXiv preprint arXiv:1404.0461},
  year   = {2015}
}

Comments

44 pages

R2 v1 2026-06-22T03:40:54.366Z