Università degli Studi di Padova

“On the continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary of a domain”

Mercoledì 5 Giugno 2024, ore 14:30 - Aula 2AB40 - Sergiy Plaksa


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. Sufficient conditions involving subclasses of Ahlfors-regular curves are also considered. Illustrative examples are presented.