Uniqueness of double layer potentials for a domain with fractal boundary
type: Item
instance of: scholarly article
title: Uniqueness of double layer potentials for a domain with fractal boundary
zbMATH Open document ID: 0956.31004
author: Hisako Watanabe
published in: Hiroshima Mathematical Journal
publication date: 2000-08-06T00:00:00Z
review text: The double layer potentials for a bounded domain with fractal boundary depends on an extension operator on a space of functions on the boundary. The author gives a sufficient condition to define them uniquely and applies it to prove the injectivity of an operator with respect to the Dirichlet problem.
Mathematics Subject Classification ID: 31B15
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 1484785
zbMATH Keywords: Whitney decomposition
zbMATH Keywords: extension operator
zbMATH Keywords: bounded domain with fractal boundary
reviewed by: Sophia L. Kalpazidou
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206124768
OpenAlex ID: W1570919972
DOI: 10.32917/HMJ/1206124768
description: scientific article; zbMATH DE number 1484785