# Carleson perturbations of elliptic operators on domains with low dimensional boundaries

@article{Mayboroda2020CarlesonPO,
title={Carleson perturbations of elliptic operators on domains with low dimensional boundaries},
author={Svitlana Mayboroda and Bruno Poggi},
journal={arXiv: Analysis of PDEs},
year={2020}
}
• Published 15 July 2020
• Mathematics
• arXiv: Analysis of PDEs
We prove an analogue of a perturbation result for the Dirichlet problem of divergence form elliptic operators by Fefferman, Kenig and Pipher, for the degenerate elliptic operators of David, Feneuil and Mayboroda, which were developed to study geometric and analytic properties of sets with boundaries whose co-dimension is higher than $1$. These operators are of the form $-\text{div} A\nabla$, where $A$ is a weighted elliptic matrix crafted to weigh the distance to the high co-dimension boundary…
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