Elliptic equations with a singular drift from a weak Morrey space
Analysis of PDEs
2024-11-07 v6
Abstract
In this paper we prove the existence and uniqueness of weak solutions to the Dirichlet problem for an elliptic equation with a drift satisfying in . We assume belongs to some weak Morrey class which includes in the 3D case, in particular, drifts having a singularity along the axis with the asymptotic , where .
Cite
@article{arxiv.2208.10909,
title = {Elliptic equations with a singular drift from a weak Morrey space},
author = {Misha Chernobai and Timofey Shilkin},
journal= {arXiv preprint arXiv:2208.10909},
year = {2024}
}