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arXiv · 2405.01482

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

Sergiy Plaksa
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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.

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Sergiy Plaksa. 2024-05-02. The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary. https://arxiv.org/abs/2405.01482

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