English

On diffusion processes with drift in a Morrey class containing $L_{d+2}$

Probability 2023-04-13 v4

Abstract

We present new conditions on the drift of the Morrey type with mixed norms allowing us to obtain Aleksandrov type estimates of potentials of time inhomogeneous diffusion processes in spaces with mixed norms and, for instance, in Ld0+1L_{d_{0}+1} with d0<dd_{0}<d.

Keywords

Cite

@article{arxiv.2104.05603,
  title  = {On diffusion processes with drift in a Morrey class containing $L_{d+2}$},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:2104.05603},
  year   = {2023}
}

Comments

21 pages a few glitches corrected, the proof of Thm 5.1 had a gap, corrected

R2 v1 2026-06-24T01:05:17.328Z