BMO solvability and the $A_\infty$ condition for elliptic operators
Analysis of PDEs
2010-08-02 v1
Abstract
We establish a connection between the absolute continuity of elliptic measure associated to a second order divergence form operator with bounded measurable coefficients with the solvability of an endpoint Dirichlet problem. We show that these two notions are equivalent. As a consequence we obtain an end-point perturbation result, i.e., the solvability of the Dirichlet problem implies solvability for all .
Cite
@article{arxiv.1007.5496,
title = {BMO solvability and the $A_\infty$ condition for elliptic operators},
author = {Martin Dindos and Carlos Kenig and Jill Pipher},
journal= {arXiv preprint arXiv:1007.5496},
year = {2010}
}