The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary

Fuente: arXiv
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Autore principale: Plaksa, Sergiy
Natura: Preprint
Pubblicazione: 2024
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author Plaksa, Sergiy
author_facet Plaksa, Sergiy
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_01482
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary
Plaksa, Sergiy
Complex Variables
Classical Analysis and ODEs
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.
title The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary
topic Complex Variables
Classical Analysis and ODEs
url https://arxiv.org/abs/2405.01482