English

Aleksandrov's estimates for elliptic equations with drift in Morrey spaces containing $L_{d}$

Analysis of PDEs 2021-04-23 v2

Abstract

In this note, we obtain a version of Aleksandrov's maximum principle when the drift coefficients are in Morrey spaces, which contains LdL_d, and when the free term is in LpL_p for some p<dp<d.

Keywords

Cite

@article{arxiv.2103.03955,
  title  = {Aleksandrov's estimates for elliptic equations with drift in Morrey spaces containing $L_{d}$},
  author = {Hongjie Dong and N. V. Krylov},
  journal= {arXiv preprint arXiv:2103.03955},
  year   = {2021}
}

Comments

6 pages, submitted, a few typos corrected