The Poisson problem in domains with Ahlfors regular boundary
Analysis of PDEs
2026-03-24 v1
Abstract
We establish well posedness of the Poisson problem in weak local John domains, for linear second order elliptic equations with real coefficients, and with data in weighted Lebesgue spaces with a very broad range of acceptable parameters.
Cite
@article{arxiv.2603.22067,
title = {The Poisson problem in domains with Ahlfors regular boundary},
author = {Ariel Barton and Svitlana Mayboroda and Alberto Pacati},
journal= {arXiv preprint arXiv:2603.22067},
year = {2026}
}
Comments
6 figures, 93 pages