The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary
Complex Variables
2024-05-03 v1 Classical Analysis and ODEs
Abstract
For the real part of the Cauchy-type integral that is known to be the logarithmic potential of the double layer, a necessary and sufficient condition for the continuous extension to the Ahlfors-regular boundary is established.
Keywords
Cite
@article{arxiv.2405.01482,
title = {The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary},
author = {Sergiy Plaksa},
journal= {arXiv preprint arXiv:2405.01482},
year = {2024}
}